White Dwarfs (WDs) – Set Galactic gravitational wave foreground – eLISA verification binaries – Progenitors of Galactic exotica: merged WDs and subdwarfs, AM CVn systems,
discussed today have pure hydrogen atmospheres (DA) – 4/5 of WDs are DA; strong gravitational settling • Estimate WD masses from observed Balmer line profiles: Teff /log(g) He-Core WDs CO-Core WDs ONe-Core WDs Mass Distribution of Known White Dwarfs
Brown et al. 2012, ApJ, 744, 142 T eff = 10,540 ± 170 K log(g) = 6.01 ± 0.06 P orb = 87.996 ± 0.006 min K 1 = 508 ± 4 km s-‐‑1 M 2 > 1.10 M¤ if M 1 = 0.17 M¤ t merge < 170 Myr J1741+6526: An 88-min WD+WD binary
A&A, 557, A19 • Two low-mass WDs of different masses often cross the same points in a T eff —log(g) diagram • There is a non-uniqueness to using T eff ,log(g) for ELM WD mass
ApJ, 750, L28 Hermes et al. 2013, ApJ, 765, 102 Hermes et al. 2013, MNRAS, 436, 3573 Kilic et al. 2015, MNRAS, 446, 26 • CNO flashes erode the hydrogen layer mass of ELM WDs • An observational test would come from pulsating WDs: asteroseismology • Since October 2011 we discovered the first five pulsating low-mass,
WD • dP/dt ~ 4 x 10-15 s s-1 • Main pulsation modes: – P1 = 215.2 s – P2 = 304.1 s – P3 = 270.5 s • Can multiply the star’s frequencies by 300,000 to convert to audible range: Kepler et al. 2005, ApJ, 634, 1311 target comparison
ELM WD with the shortest-period variability • Main pulsation modes: – P1 = 1262.7 s – P2 = 1184.1 s • Scaling frequencies by 300,000 to an audible range: Hermes et al. 2013, MNRAS, 436, 3573 target comparison
ELM WD with the longest-period variability • Main pulsation modes: – P1 = 4181 s – P2 = 3252 s – P3 = 6229 s • Scaling frequencies by 300,000 to an audible range: target comparison Hermes et al. 2013, MNRAS, 436, 3573
2013, ApJ, 765, 102 • Main pulsation modes: – P1 = 2258.5 s – P2 = 2539.7 s – P3 = 1884.6 s – P4 = 2855.7 s – P5 = 1792.9 s • Scaling frequencies by 300,000 to an audible range: target comparison
currently only able to qualitatively match the periods to WD models • Near to having a large grid of He-core WD models with different hydrogen layer masses to perform asteroseismology Van Grootel et al. 2013, ApJ, 762, 57 MH /M* = 10-4 MH /M* = 10-2 J1840 J1518 J1518 J1112 Theoretical periods for ell=1 g-modes modes vs. Observed Periods
some metal pollution • Metals should settle out of the high-surface-gravity atmosphere very quickly (of order days) • Consensus: Metals are from accreted, tidally disrupted debris • Abundances match bulk
± 0.013 R¤ i = 86.9 ± 0.4 deg P orb = 5.90724895(41) hr -‐‑20 v rot = 50+30 km s-‐‑1 P rot = 2.3+2.0 hr Hermes et al. 2014, MNRAS, 444, 1674 • Prot < Porb but not yet formally significant • Direct test of tidal synchronization! -‐‑1.0
et al. 2012, ApJ, 757, L21 P orb = 765.20644(95) s K 1 = 616.9 ± 5.0 km s-‐‑1 i = 86.3 ± 1.0 deg T eff,1 = 16,340 ± 260 K M 1 = 0.252 ± 0.04 M¤ T eff,2 = 10,370 ± 360 K M 2 = 0.50 ± 0.04 M¤ J0651+2844: A 12.75-min WD+WD Binary
faster than the 7.75-hr Hulse-Taylor binary pulsar, which was the first indirect detection of gravitational radiation (1993 Nobel prize in physics) Weisberg et al. 2010, ApJ, 722, 1030 J0651+2844 PSR B1913+16 dP/dt = -0.283 ms/yr dP/dt = -0.076 ms/yr Orbital Decay in J0651+2844
• General Relativity: Any mass in nonuniform, nonspherical motion emits gravitational radiation • Ripples in space-time caused by gravitational radiation carry away energy • This is an energy leak and acts
in J0651+2844 – Additional angular momentum is lost from the orbit to spin-up the WDs to remain synchronized, leading to >5% faster rate of orbital decay (e.g., Piro 2011, ApJ, 740, L53; Fuller & Lai 2012, MNRAS, 421, 426) The Fate of the WDs in J0651+2844
(WDs) constrain the endpoints of stellar and binary evolution • “Low-Mass White Dwarfs Need Friends” – Close companions provide many ways to observationally constrain systems • Pulsations allow us a new way to explore He-Core, ELM WD Interiors • ELM WDs provide a unique test for tidal effects on binary inspiral • The first directly detected gravitational waves and confirmed EM counterpart systems will likely be ELM WDs D. Berry, GSFC!