100 sdBs with Porb > 1.2 d or no RV variability: rotation velocities between 5-10 km/s “< 10 km/s” Geier et al. 2010 Geier & Heber 2012 For 0.20 R¤ sdBs: Expect typical rotation periods of order 0.5-3.0 days (Tides clearly affect < 4 hrPorb )
PG 1336-018): Charpinet et al. 2008 Much faster rotation is observed for NY Vir, a synchronized sdB in a 2.42-hr binary with a 0.11-0.12 M¤ dM companion (Vuckovic+ 2007) Solid body rotation within ~50-100% of star by radius (g-modes resonate there)
2008 Balloon 090100001 Telting et al. 2012 KIC 11558725 Baran & Winans 2012 KIC 2438324 Baran & Winans 2012 KIC 10139564 Pablo et al. 2012 KIC 2991403 Pablo et al. 2012 KIC 11179657 Østensen et al. 2012 KIC 1718290 Østensen et al. 2014 KIC 10553698 Telting et al. 2014 KIC 7668647 Reed et al. 2014 KIC 10670103 Foster et al. 2015 KIC 3527751 Baran et al. 2016 KIC 7664467 Ketzer et al. 2017 EPIC 203948264 Kern et al. 2017 KIC 2697388 g-mode splittings from Kepler suggest sdB rotation periods ranging from ~7-100 days All published Kepler sdBs are subsynchronouslyrotating For those in binaries, Porb span 0.4-14 days
6 pulsating WDs (just two >3 months) K2 through Campaign 10: >1000 white dwarf candidates observed 35 more pulsating WDs K2 has given us hundreds of candidate pulsating white dwarfs to observe
s 316.8 s 345.3 s n = Number of radial nodes l = Number of vertical nodes m = Number of horizontal + vertical nodes n l = 1 n = 5 l = 1 n = 6 Prot = 0.9 ± 0.1 day Fourier transform, 75 days data white dwarf from K2 Campaign 1 200 s 500 s 1000 s We Can Decompose Pulsations into Spherical Harmonics
0.7 0.8 0.9 WD Mass (M⊙ ) 1.0 1.5 2.0 2.5 3.0 3.5 4.0 ZAMS Progenitor Mass (M⊙ ) 1 10 100 White Dwarf Rotation Period (hr) 0 2 4 6 8 10 N Kepler & K2 Kawaler (2015) 1 d 2 d 4 d Hermes et al. 2017, in prep. All <0.75 M ¤ Pulsating WDs Rotate from 0.2-5.5 days We have obtained WHT/SOAR spectra of all pulsating white dwarfs in Kepler/K2: All will be publicly available at k2wd.org Hermes et al. 2017, ApJL, 841, L2; arXiv: 1704.08690
4 6 8 10 N Kepler & K2 Kawaler (2015) • No isolated 0.6 M¤ WD rotates this fast • No accretion history in J1136+0409 • Common envelope evolution appears to have affected this WD’s rotation Hermes et al. 2015, MNRAS, 451, 1701 l = 1 modes m = +1 m = 0 m = -1 WD Rotation Affected by Common Envelope Evolution J1136+0409 Prot : 2.50.5 hr
(<0.3 M¤ ) interacted with a binary companion before helium ignition Not good comparison with sdBs, as ELM rotation is regulated by hydrogen shell flashes: Istrate et al. 2016, A&A, 595, 35
Geier & Heber 2012 Typical rotation periods >1 day from v sin i g-mode splittings from Kepler suggest sdB rotation periods ranging from ~7-100 days "All stars in our sample are slow rotators (vrot sini < 10 km/s)." ?
He-burning red giants without envelopes” Not an insane idea: Both sdBs and clump giants have g-mode period spacings of roughly 200-300 s g-modes p-modes
giants (2-3 M¤ ) rotate relatively rigidly (from detected p- and g-modes, core slightly faster than envelope), and appear to have lost most angular momentum Deheuvels et al. 2015 10 100 Secondary Clump Rotation Period (d) 0 1 2 3 4 5 6 7 8 N Deheuvels et al. 2015 Tayar et al., in prep. Jamie Tayar et al. 2017, in prep. Their core rotation rates range from ~30-180 days towards core towards surface
4 6 8 10 N Kepler & K2 Kawaler (2015) sdB cavity ~0.03-0.15 R¤ WD cavity ~0.005-0.013 R¤ 10 100 Secondary Clump Rotation Period (d) 0 1 2 3 4 5 6 7 8 N Deheuvels et al. 2015 Tayar et al., in prep. Clump RGB cavity ~0.02-0.10 R¤ 1. What is the true rotation distribution of sdBs? 2. If many sdBs are mergers, why so slow? 3. What do these distributions say about internal angular transport during the AGB? Prot : 30-180 d Prot : 7-100 d Prot : 0.2-5 d