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Black holes

Black holes

This lecture is part of the course "physics of active galactic nuclei" offered to graduate students in astrophysics by Rodrigo Nemmen and Joao Steiner at IAG USP.

https://rodrigonemmen.com/teaching/active-galactic-nuclei/

Rodrigo Nemmen

May 20, 2016
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  1. Rodrigo Nemmen
    Black Holes
    AGA5727 - Active Galactic Nuclei
    Credit: ESO

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  2. Hazard+14
    Optical image of 3C 273
    3C273, the first Quasar 7
    Figure 6. The culmination of the Parkes positions and the Palomar redshift.
    3C273 had become:
    eve
    tern
    he w
    ligh
    of c
    hav
    him
    and
    On
    tha
    also
    Ha
    tha
    Thu
    star
    hig
    obj
    was
    the
    per
    Qu
    in a
    Soc
    and
    tan
    app
    oth
    rep
    the
    The
    are
    Maarten Schmidt was the fi rst to
    recognize that quasars are ultra-
    luminous distant objects. After
    Cyril Hazard and his colleagues in
    Australia had pinned down the
    position of the radio source 3C 273,
    Schmidt took a spectrum of the
    starlike object in that location.
    The unusual features of the spec-
    trum could be understood only if
    there was a 16 percent redshift,
    implying an enormous distance.
    Schmidt has, over the past 40
    years, continued to discover and
    study distant quasars. He has
    been a leader in analyzing how
    the quasar population depends
    on redshift (or cosmic epoch), as
    described in Chapter 9.
    mber 29 he managed to obtain a spectrum of the “star” that was not over-
    which showed some faint emission lines, but with no obvious explanation
    y expected stellar lines.
    yed until February 6th, as outlined in the paper presented to the American
    Society (Schmidt, 2011). He wrote:
    d on 6 February 1963. In response to Hazard’s letter I decided to have
    at the spectra... For reasons that I don’t remember I tried to construct an
    iagram. When the energy levels did not come out regularly spaced, I was
    check on the regularity of the observed lines, I decided to compare them
    er lines of hydrogen... Specifically, I took for each line in 3C 273 the ratio
    gth over the wavelength of the nearest Balmer line. The first ratio was 1.16,
    s... also 1.16.
    ruck me that I might be seeing a redshift. When the third and fourth ratios
    e to 1.16, it was abundantly clear that I was seeing in 3C 273 a redshifted
    um.”
    ed fortunate that the 3C273 redshift was small enough that the Balmer
    re and would be readily recognised.
    aarten Schmidt’s 200” spectrum taken on the night of December 29, with the

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  3. View Slide

  4. Quasars in the centers of distant galaxies (z>1)
    outshine all stars in the host galaxy
    this image: z ~ 0.2
    d
    L
    ~ 1 Gpc
    Hubble Space Telescope
    Bahcall+97

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  5. THE ASTROPHYSICAL JOURNAL, 479:642È658, 1997 April 20
    1997. The American Astronomical Society. All rights reserved. Printed in U.S.A.
    (
    HUBBL E SPACE T EL ESCOPE IMAGES OF A SAMPLE OF 20 NEARBY
    LUMINOUS QUASARS1
    JOHN N. SOFIA AND DAVID H.
    BAHCALL, KIRHAKOS, SAXE
    Institute for Advanced Study, School of Natural Sciences, Princeton, NJ 08540
    AND
    DONALD P. SCHNEIDER
    Department of Astronomy and Astrophysics, The Pennsylvania State University, University Park, PA 16802
    Received 1996 August 21; accepted 1996 November 8
    ABSTRACT
    Observations with the Wide-Field Camera of the Hubble Space Telescope (HST ) are presented for a
    representative sample of 20 intrinsically luminous quasars with redshifts smaller than 0.30. These obser-
    vations show that luminous quasars occur in diverse environments that include ellipticals as bright as
    the brightest cluster galaxies (two), apparently normal ellipticals (10), apparently normal spirals with H II
    regions (three), complex systems of gravitationally interacting components (three), and faint surrounding
    nebulosity (two). The quasar host galaxies are centered on the quasar to the accuracy of our measure-
    ments, 400 pc. There are more radio-quiet quasars in galaxies that appear to be ellipticals (seven) than in
    spiral hosts (three), contrary to expectations. However, three, and possibly Ðve, of the six radio-loud
    quasars have detectable elliptical hosts, in agreement with expectations. The luminous quasars studied in
    this paper occur preferentially in luminous galaxies. The average absolute magnitude of the hosts is 2.2
    mag brighter than expected for a Ðeld galaxy luminosity function.
    The superb optical characteristics of the repaired HST make possible the detection of close galactic
    companions; we detect eight companion galaxies within projected distances of 10 kpc from quasar
    nuclei. The presence of very close companions, the images of current gravitational interactions, and the
    higher density of galaxies around the quasars suggest that gravitational interactions play an important
    role in triggering the quasar phenomenon.
    Subject headings: galaxies: clusters: general È galaxies: interactions È galaxies: structure È
    quasars: general
    1. INTRODUCTION
    Figures and (Plates 25È28) tell the main story of this
    1 2
    paper. We urge the reader to look at these beautiful HST
    images before continuing with the text and the quantitative
    details.
    point-spread function (PSF), there are small, quantitative
    di†erences between the results described in this paper and
    previous results we have reported. In the previous work, we
    used a stellar PSF determined from a red standard star,
    F141. In the present work, we have used stellar PSFs that
    ABSTRACT
    Observations with the Wide-Field Camera of the Hubble Space Telescope (HS
    representative sample of 20 intrinsically luminous quasars with redshifts smaller t
    vations show that luminous quasars occur in diverse environments that include
    the brightest cluster galaxies (two), apparently normal ellipticals (10), apparently n
    regions (three), complex systems of gravitationally interacting components (three),
    nebulosity (two). The quasar host galaxies are centered on the quasar to the acc
    ments, 400 pc. There are more radio-quiet quasars in galaxies that appear to be el
    spiral hosts (three), contrary to expectations. However, three, and possibly Ðve,
    quasars have detectable elliptical hosts, in agreement with expectations. The lumin
    this paper occur preferentially in luminous galaxies. The average absolute magnit
    mag brighter than expected for a Ðeld galaxy luminosity function.
    The superb optical characteristics of the repaired HST make possible the dete
    companions; we detect eight companion galaxies within projected distances of
    nuclei. The presence of very close companions, the images of current gravitationa
    higher density of galaxies around the quasars suggest that gravitational interacti
    role in triggering the quasar phenomenon.
    Subject headings: galaxies: clusters: general È galaxies: interactions È galaxies: st
    quasars: general
    1. INTRODUCTION
    Figures and (Plates 25È28) tell the main story of this
    1 2
    paper. We urge the reader to look at these beautiful HST
    images before continuing with the text and the quantitative
    details.
    We summarize in this paper the results of our analysis of
    HST -WFPC2 observations of a representative sample of 20
    point-spread function (PSF
    di†erences between the resu
    previous results we have rep
    used a stellar PSF determ
    F141. In the present work,
    were obtained for four se
    cussion in of the PSFs c
    ° 4
    The visual appearanc
    1996).

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  6. The pioneers of the theory of supermassive black holes
    applied to AGNs: Salpeter, Zeldovich, Lynden-Bell
    Chapter 5
    fueled by the transfer of gas from the companion star onto the compact
    remnant, the massive black holes in AGN would be fueled through the
    capture of gas from the surrounding galaxy, or even by the swallowing
    of entire stars. This captured debris would swirl downward into the
    intense gravitational fi eld, reaching nearly the speed of light before it is
    swallowed. The gravitational energy thus liberated would provide the
    power for both the luminosity and the outfl owing gaseous jets that char-
    acterize AGN. Lynden-Bell also predicted that the modern-day galaxies
    that had once hosted quasars should still contain their black hole relics.
    Evidence for these quiescent black holes now abounds (Chapter 8), pro-
    viding perhaps the strongest vindication of the black hole paradigm.
    Modeling Quasars
    Salpeter
    Zeldovich
    Lynden-Bell

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  7. View Slide

  8. Powerful, relativistic jets from galactic nuclei
    Signs of Activity
    to a precision of a few arcseconds, by noting the time at which it was
    occulted by the Moon. They had to make special adjustments to the
    telescope to observe something as far north – and consequently as
    close to the horizon – as 3C 273. (“3C” denotes the third Cambridge
    catalog of radio sources – the source had been discovered by means
    The Very Large Array in New
    Mexico reveals the double-lobed
    radio structure of Cygnus A in rich
    detail. The energy produced in
    the nucleus is carried to the lobes
    by jets, the traces of which are
    Remain aligned for millions of years (what is the gyroscope?)

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  9. Spectral energy distributions are decisively non-stellar
    Ho 04

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  10. Hard X-ray sources in the galactic nuclei
    NASA, CXC, Hickox+

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  11. 0
    0 −30
    30 −60
    60 −90
    90 −120
    120 −150
    150 −180
    180
    30
    −30
    60
    −60
    90
    −90
    90
    Ackermann+15,
    1501.0605
    Gamma-ray sky observed by Fermi LAT is
    dominated by blazars
    FSRQs: flat spectrum radio quasars
    BL Lac objects
    AGNs of unknown type
    non-blazar AGNs

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  12. “Modern” times

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  13. Keplerian rotation curves: signature of motion
    around a central mass

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  14. Keplerian rotation curves: signature of motion
    around a central mass
    v =
    r
    GM
    r

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  15. SUPERMASSIVE BLACK HOLE OF M87 581
    sitions of the slit during the observations compared with the Ha
    ] N II image of the M87 disk from the WFPC2 archive. The gray levels are
    d 40% of the nuclear peak in the outer region. The nucleus has been rescaled to be displayed within this range of values. North is up and east is
    n, geometric distortion is also induced on the slit and dispersion directions by the spectrographic mirror and the
    distortion in the dispersion direction was determined by tracing the spectra of two stars taken in the core of the
    globular cluster. These stars are ^130 pixels apart and almost at the opposite extremes of the slit. The distortion
    t direction was determined by tracing the brightness distribution along the slit of the planetary nebula NGC 6543
    es. Ground-based observations (Perez, Cuesta, Axon, & Robinson, in preparation) indicate that the distortion
    TABLE 1
    LOG OF OBSERVATIONS
    Integration Time
    Target Data Set Date (1996) (s) Format Description
    M87 . . . . . . . . . . . . . X3E40101T Jul 25 297 1024 ] 512 Interactive acq.
    M87 . . . . . . . . . . . . . X3E40102T Jul 25 2169 1024 ] 512 Spectrum =POS1
    M87 . . . . . . . . . . . . . X3E40103T Jul 25 600 1024 ] 512 Internal Ñat
    M87 . . . . . . . . . . . . . X3E40104T Jul 25 600 1024 ] 512 Internal dark
    M87 . . . . . . . . . . . . . X3E40105T Jul 25 2169 1024 ] 512 Spectrum 1 =NUC
    M87 . . . . . . . . . . . . . X3E40106T Jul 25 600 1024 ] 512 Internal Ñat
    M87 . . . . . . . . . . . . . X3E40107T Jul 25 2169 1024 ] 512 Spectrum =POS2
    M87 . . . . . . . . . . . . . X3E40108T Jul 25 600 1024 ] 512 Internal Ñat
    M87 . . . . . . . . . . . . . X3E40109T Jul 25 2597 1024 ] 512 Spectrum 2 =NUC
    M87 . . . . . . . . . . . . . X3E4010AT Jul 25 600 1024 ] 512 Internal Ñat
    M87 . . . . . . . . . . . . . X3E4010BT Jul 25 2597 1024 ] 512 Spectrum 3 =NUC
    M87 . . . . . . . . . . . . . X3E4010CT Jul 25 600 1024 ] 512 Internal Ñat
    M87 . . . . . . . . . . . . . X3E4010DT Jul 25 2597 1024 ] 512 Spectrum 4 =NUC
    No. 2, 1997 SUPERMASSIVE BLACK HOLE OF M87
    FIG. 12.ÈBest Ðts of the observed rotation curve with the Keplerian thin disk model. The solid line corresponds to cpix \ 22
    km s~1 and the dotted line to cpix \ 22.7,
    1.73 ] 109 M
    _
    , h
    \ 0¡
    .7, i \ 49¡V
    sys
    \ 1204 b \ 0A
    .06, M
    BH
    (sin i)2 \ 1.68 ] 109 M
    _
    km s~1 (s
    2 \ 1.73). The residuals are computed for the former set of values and the error bars on the velocity are the square ro
    1274
    eq. (9).
    Macchetto+97, ApJ
    Keplerian
    rotation
    curve
    Kinematics of gaseous disk in giant elliptical
    galaxy M87 mapped with HST
    M = 3 ⇥ 109 M
    v =
    r
    GM
    r

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  16. VLBA radio observations of water maser in NGC
    4258: thin gas disk following Keplerian motion
    Kormendy & Ho 2013, ARA&A
    M = 3.6 ⇥ 107 M
    Myioshi+95, Nature
    Observer’s view
    Top view
    High
    Bowl
    0.1 pc
    0.1 pc
    –1
    1,200
    1,000
    800
    600
    0
    0 20,000 40,000
    NGC 4258
    Keplerian rotation curve
    60,000 80,000
    1 2 3 4
    Impact parameter (mas)
    r/rS
    (km s–1)
    5 6 7 8 9
    Redshifted masers
    Blueshifted masers
    Systemic masers
    a
    b
    ded by Universidade de Sao Paulo (USP) on 04/30/15. For personal use only.
    2-Kormendy ARI 24 July 2013 12:27
    Observer’s view
    Top view
    High
    Bowl
    0.1 pc
    0.1 pc
    –1
    1,200
    1,000
    800
    600
    400
    200
    0
    0.1 0.2 0.3
    0.0
    0
    0 20,000 40,000
    NGC 4258
    Keplerian rotation curve
    60,000 80,000
    1 2 3 4
    Impact parameter (mas)
    r/rS
    r (pc)
    Velocity (km s–1)
    5 6 7 8 9
    Redshifted masers
    Blueshifted masers
    Systemic masers
    a
    b

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  17. VLBA radio observations of water maser in NGC
    4258: thin gas disk following Keplerian motion

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  18. ESO
    Journey to Our Galactic Center

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  19. 10 light-days = 260 billion km
    Ghez, Schödel, Genzel et al.
    central mass =
    4 million solar masses
    Resolved stellar dynamics around Our Galactic
    Center with Keck observations

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  20. black
    hole
    Our Galactic Center hosts the nearest
    supermassive black hole: Sagittarius A*
    Ghez, Schödel, Genzel et al.
    central mass =
    4 million solar masses
    10 light-days = 260 billion km

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  21. Using stars as test particles to probe the central
    mass: stellar kinematics
    van den Bosch+12, Nature
    relation16 predicts a black-hole mass of 2.4 3 109M8
    , so the measured
    value is almost one order of magnitude higher, or a 2.1-s.d. outlier
    relative to the intrinsic scatter in the M.
    –s relation1.
    Apart from NGC 1277, NGC 4486B9 and
    to lie significantly above the relations, and a
    known to lie significantly below the relatio
    know if these over-massive and under-mass
    the tails of a relatively narrow distribution o
    properties, or if they demonstrate non-un
    more black-hole measurements, including th
    pact galaxies with high velocity dispersions, w
    the cause of the black-hole/galaxy connectio
    –300
    –200
    –100
    0
    100
    200
    300
    V (km s–1)
    a 17 × 109M
    O
    black hole
    1 × 108M
    O
    black hole
    NGC 1277
    100
    200
    300
    400
    σ (km s–1)
    Seeing
    b
    –0.2
    0.0
    0.2
    h
    3
    c
    –6 –4 –2 0 2 4 6
    x (kpc)
    –0.2
    0.0
    0.2
    d
    .
    .
    h
    4
    we construct a three-dimensional luminous-mass model of the stars by
    107
    108
    109
    1010
    1011
    Black-hole mass (M
    O
    )
    NGC
    NGC 4486B
    Ref. 8
    Ref. 19
    Ref. 16
    Mass–luminosity
    .
    Modeling:
    Disentangle
    gravitational contribution
    of host galaxy vs central
    “invisible” mass
    Every galaxy with a
    bulge has a
    supermassive invisible
    object in its center

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  22. 60 80 100 200 300 400
    Velocity dispersion / km s-1
    106
    107
    108
    109
    1010
    M
    BH
    / M
    sun
    Elliptical / classical bulge
    Pseudo-bulge
    , AGN
    , Quiescent
    Galaxies somehow coevolve with their central
    black holes: the M-σ relation
    Woo+13
    central black hole
    host galaxy property

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  23. Schimoia, …, Nemmen+12
    The Astrophysical Journal, 748:145 (12pp), 2012 April 1 Schimoia et al.
    Figure 1. Acquisition image from 2010 August 15, where we illustrate the
    locations of the 1.
    ′′0 × 1.
    ′′0 extraction windows for the nucleus and stellar
    population spectra. The square labeled A represents the nuclear extraction
    window, while squares B and C represent the extranuclear ones, from which we
    obtained the spectrum of the underlying stellar population.
    (A color version of this figure is available in the online journal.)
    continuum to the corresponding value at the nucleus) thus
    Figure 2. Observation from 2010 August 15. Top: nuclear spectrum (region A of
    Figure 1). Middle: stellar population obtained from averaging the spectra from
    regions B and C in Figure 1. Bottom: nuclear spectrum after the subtraction of
    the stellar population.
    blue continuum we need the FC continuum to contribute with
    at least 15%–20% of the flux at 5800 Å. We thus can say that a
    possible FC contribution to the nuclear spectrum is lower than
    20% of the continuum flux at 5800 Å. We consider this value
    an upper limit, as a comparison between the stellar continuum
    from our spectra and the AGN continuum obtained in the work
    of Nemmen et al. (2006) shows that the stellar continuum in our
    FWHM ≈ 10000 km/s
    center distance of the ring (from 1
    ¼ 1300 to 450) could
    lead to the observed increase in the separation of the two
    peaks, R
    ÀB
    . Such a dramatic change in the physical loca-
    tion of a given volume of gas could not occur on a timescale
    of 5 yr, however, as we noted in x 4.1. Rather, the emission
    properties of the ring must have changed, so that the radius
    of maximum emission became smaller. Therefore, to pro-
    duce a self-consistent and physically plausible scenario for
    the entire set of observations, we were led to revise the
    model parameters. This revision represents a refinement of
    earlier models, which is possible only after following the
    variability of the line profile over a baseline of 10 yr. We
    now propose that the ring has always had a smaller inner
    radius of 1
    ¼ 450 (and now resembles a disk more than a
    ring) and that the increasing width of the profile is due to a
    change in emissivity such that, in more recent epochs, the
    inner regions of the disk make a more significant relative
    contribution to the total line emission. This picture is also
    consistent with the observational result that the flux of the
    broad line is decreasing, as discussed above.
    To explain the increasing separation between the two
    peaks, we experimented with several emissivity laws. We
    found that we could best reproduce the observations with a
    broken power law, such that inside a radius q the power-
    law index is q1
    ¼ À1 and outside this radius q2
    ¼ 1. This
    means that the emissivity increases with radius from 1 to q
    and then decreases with radius beyond q. These q-values
    are also physically motivated: in the ‘‘ saturation ’’ region,
    the increase in emissivity is due to the increase in the area of
    the ring, while beyond q, the decrease can be understood as
    due to both the drop-off in the intensity of the radiation field
    as rÀ2 and the increase of the emitting area as r.
    In this parameterization of the disk emissivity, varying
    the ‘‘ break radius ’’ q
    allows us to reproduce the shifts of
    the blue and red peaks. In particular, allowing the break
    radius to decrease with time shifts the region of maximum
    emission closer to the center and results in an increase in the
    separation between the two peaks. At the same time, since
    2 Nov. 91
    5 Oct. 92
    5 Jan. 94
    6 Dec. 94
    24 Jan. 96
    24 Sep. 97
    6400 6600 6800
    0
    1
    2
    3
    4
    Fig. 7.—Fits of the elliptical-disk model to the profiles from 1991
    November to 1997 September obtained by changing only 0 (the
    orientation of the disk relative to the line of sight) and q (the radius of the
    peak of the emissivity law). The values of these parameters are listed in
    Table 3.
    Storchi-Bergmann,
    Nemmen+03
    Broad, mildly relativistic emission lines in the
    optical

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  24. Tanaka+95, Nature
    Broad, relativistic velocities from X-ray emission
    lines: produced within a few Schwarzschild radii
    FWHM ≈ 100.000 km/s

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  25. Broad, relativistic velocities from X-ray emission
    lines: produced within a few Schwarzschild radii

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  26. Black Holes

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  27. A few classics on general relativity and black
    holes

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  28. Event horizon

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  29. s of light rays become
    rved close to the
    a black hole. As the
    pproached, a light
    be aimed within an
    y narrow cone in order
    ing dragged into the
    Schwarzschild radii a
    med light beam can
    ack hole indefi nitely.
    zon, the escape cone
    no light rays emit-
    is radius can avoid
    ed into the black hole.
    rom just outside the
    ild radius would reach
    bserver with a large
    nd a clock near the hole
    ear to run slow.
    Begelman & Rees

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  30. Para a Terra virar um
    buraco negro:
    Raio = 1 cm

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  31. Buraco negro com a massa
    do Sol: 300000 MTerra
    Raio = 3 km

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  32. Thorne
    Radii of different objects with M = 1.2 MSun. Black
    holes are the most compact objects in nature
    white dwarf
    neutron
    star
    black hole

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  33. General relativistic effects: Observer
    approaches a Schwarzschild black
    hole, keep in communication with
    another observer far away

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  34. STSCI

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  35. -1.0 -0.5 0.0 0.5 1.0
    j =
    a
    M
    1.0
    1.2
    1.4
    1.6
    1.8
    2.0
    R+
    Event horizon radius as a function of spin

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  36. Kerr black holes drag space around them within a
    region called ergosphere
    frame-dragging or Lense-Thirring effect

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  37. Depiction of the ergosphere (static limit)

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  38. Thorne

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  39. View Slide

  40. Goldstein
    Effective potential for the central force problem
    in Newtonian physics

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  41. Misner, Thorne & Wheeler
    Effective potential for orbits around a
    Schwarzschild black hole

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  42. Black holes have an innermost “danger zone”:
    particles cannot orbit anymore for rRisco
    j = a/M = 0

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  43. Black holes have an innermost “danger zone”:
    particles cannot orbit anymore for rRisco = RH
    j = a/M = 1

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  44. UO
    aim
    o 0.2 0.5 0.7 0.6 0.9 0.95 0.96 1
    mO.
    (3.12)
    Fig.3.2. Efficiency of energy release by gas accreting through a thin accretion disk onto
    a spinning black hole. The quantity plotted is 1 - em. as a function of the hole angular
    efficiency of
    energy release
    Blandford

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  45. 20 40 60 80 100
    0.15
    0.20
    0.25
    Circular speed
    M = 108 Msun
    vK/c
    R/RS
    Schwarzschild black hole

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  46. A cloud of interstellar gas is rotating slowly around its axis and
    contracting because of the attractive pull of its own gravity. As the
    cloud collapses, it rotates faster.
    The gas in the cloud’s equatorial plane moves inward more slowly
    because its rotation starts to balance the gravity. Gas above and
    below the plane falls inward much faster.
    Gravitational
    contraction
    Rotation
    Faster
    contraction
    Slower
    contraction
    galaxy. In general, galaxies do not
    tic collisions and mergers compli-
    At least some elliptical galaxies, as
    of spiral galaxies, may have arisen
    m in binary star systems when one
    compact, dense white dwarf) grav-
    companion (usually a larger, less
    considerable angular momentum
    otion of the two stars around their
    it typically cannot fall directly in-
    arf. Instead the gas ends up form-
    .
    ch shorter year than Earth—a mere
    nner parts of a disk invariably takes
    bit than does material in the outer
    al periods causes shear: bits of ma-
    stances from the center of the disk
    ox on page 54]. If some form of fric-
    erial, it tries to slow down the more
    s and speed up the more slowly or-
    ar momentum is therefore trans-
    outer regions of the disk. As a con-
    ner regions loses rotational support
    ard. The overall result is a gradual
    he central star or black hole.
    to the innermost orbit of an accre-
    avitational potential energy. Some
    into giving the material the faster
    ls inward; the rest is dissipated into
    y by the friction itself. Thus, the ma-
    very hot, emitting copious amounts
    ay radiation. The energy release can
    dable power sources.
    A cloud of interstellar gas is rotating slowly around its axis and
    contracting because of the attractive pull of its own gravity. As the
    cloud collapses, it rotates faster.
    The gas in the cloud’s equatorial plane moves inward more slowly
    because its rotation starts to balance the gravity. Gas above and
    below the plane falls inward much faster.
    Gravitational
    contraction
    Rotation
    Faster
    contraction
    Slower
    contraction
    of the stars (for example, a compact, dense white dwarf) grav-
    itationally pulls gas off its companion (usually a larger, less
    compact star). This gas has considerable angular momentum
    from the original orbital motion of the two stars around their
    common center of mass, so it typically cannot fall directly in-
    ward toward the white dwarf. Instead the gas ends up form-
    ing a disk around the dwarf.
    Just as Mercury has a much shorter year than Earth—a mere
    88 days—the material in the inner parts of a disk invariably takes
    less time to complete one orbit than does material in the outer
    parts. This gradient in orbital periods causes shear: bits of ma-
    terial at slightly different distances from the center of the disk
    slide past one another [see box on page 54]. If some form of fric-
    tion is present in the disk material, it tries to slow down the more
    rapidly orbiting inner regions and speed up the more slowly or-
    biting outer regions. Angular momentum is therefore trans-
    ported from the inner to the outer regions of the disk. As a con-
    sequence, material in the inner regions loses rotational support
    against gravity and falls inward. The overall result is a gradual
    spiraling of matter toward the central star or black hole.
    As material spirals down to the innermost orbit of an accre-
    tion disk, it must give up gravitational potential energy. Some
    of the potential energy goes into giving the material the faster
    orbital speed it gains as it falls inward; the rest is dissipated into
    heat or other forms of energy by the friction itself. Thus, the ma-
    terial in the disk can become very hot, emitting copious amounts
    of visible, ultraviolet and x-ray radiation. The energy release can
    make accretion disks formidable power sources.
    This phenomenon is what first alerted astronomers to the ex-
    istence of black holes. Black holes themselves cannot emit light,
    but the accretion disks around them can. (This general statement
    ignores the theorized Hawking radiation, an emission that
    would be undetectable for all but the smallest black holes and
    JIAN
    A cloud of interstellar gas is rotating slowly around its axis and
    contracting because of the attractive pull of its own gravity. As the
    cloud collapses, it rotates faster.
    The gas in the cloud’s equatorial plane moves inward more slowly
    because its rotation starts to balance the gravity. Gas above and
    below the plane falls inward much faster.
    Rotation
    Faster
    contraction
    Slower
    contraction
    Blaes, SciAm

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  47. Credit: ESO

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