TY - JOUR
T1 - The Impact of White Dwarf Luminosity Profiles on Oscillation Frequencies
AU - Timmes, Francis
AU - Townsend, Richard H.D.
AU - Bauer, Evan B.
AU - Thoul, Anne
AU - Fields, C. E.
AU - Wolf, William M.
N1 - Funding Information:
We thank Noemi Giammichele for discussions and for generously sharing detailed WD template model profiles, Steve Kawaler for communications and insights, and the anonymous referee for suggestions that improved this Letter. This project was supported by NSF under the SI2 program (ACI-1663684, ACI-1663688, ACI-1663696), the AAG program (AST-1716436) and grant PHY-1430152 for the PFC “Joint Institute for Nuclear Astrophysics—Center for the Evolution of the Elements” (JINA-CEE). C.E.F. was supported by a Ford Foundation Predoctoral Fellowship, an NSF GRFP Fellowship (DGE1424871), and a Edward J. Petry Graduate Fellowship from MSU. A.T. is supported as a Research Associate at the Belgian Scientific Research Fund (F.R.S-FNRS). This research made extensive use of the SAO/NASA Astrophysics Data System (ADS).
Publisher Copyright:
© 2018. The American Astronomical Society.
PY - 2018/11/10
Y1 - 2018/11/10
N2 - KIC 08626021 is a pulsating DB white dwarf (WD) of considerable recent interest, and the first of its class to be extensively monitored by Kepler for its pulsation properties. Fitting the observed oscillation frequencies of KIC 08626021 to a model can yield insights into its otherwise-hidden internal structure. Template-based WD models choose a luminosity profile where the luminosity is proportional to the enclosed mass , Lr ∝ Mr, independent of the effective temperature T eff. Evolutionary models of young WDs with T eff 25,000 K suggest that neutrino emission gives rise to luminosity profiles with L r M r. We explore this contrast by comparing the oscillation frequencies between two nearly identical WD models: one with an enforced luminosity profile, and the other with a luminosity profile determined by the star's previous evolution history. We find that the low-order g-mode frequencies differ by up to ≃70 μHz over the range of Kepler observations for KIC 08626021. This suggests that by neglecting the proper thermal structure of the star (e.g., accounting for the effect of plasmon neutrino losses), the model frequencies calculated by using an profile may have uncorrected, effectively random errors at the level of tens of μHz. A mean frequency difference of 30 μHz, based on linearly extrapolating published results, suggests a template model uncertainty in the fit precision of ≃12% in WD mass, ≃9% in the radius, and ≃3% in the central oxygen mass fraction.
AB - KIC 08626021 is a pulsating DB white dwarf (WD) of considerable recent interest, and the first of its class to be extensively monitored by Kepler for its pulsation properties. Fitting the observed oscillation frequencies of KIC 08626021 to a model can yield insights into its otherwise-hidden internal structure. Template-based WD models choose a luminosity profile where the luminosity is proportional to the enclosed mass , Lr ∝ Mr, independent of the effective temperature T eff. Evolutionary models of young WDs with T eff 25,000 K suggest that neutrino emission gives rise to luminosity profiles with L r M r. We explore this contrast by comparing the oscillation frequencies between two nearly identical WD models: one with an enforced luminosity profile, and the other with a luminosity profile determined by the star's previous evolution history. We find that the low-order g-mode frequencies differ by up to ≃70 μHz over the range of Kepler observations for KIC 08626021. This suggests that by neglecting the proper thermal structure of the star (e.g., accounting for the effect of plasmon neutrino losses), the model frequencies calculated by using an profile may have uncorrected, effectively random errors at the level of tens of μHz. A mean frequency difference of 30 μHz, based on linearly extrapolating published results, suggests a template model uncertainty in the fit precision of ≃12% in WD mass, ≃9% in the radius, and ≃3% in the central oxygen mass fraction.
KW - stars: evolution
KW - stars: individual (KIC 08626021)
KW - stars: interiors
KW - stars: oscillations
KW - white dwarfs
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U2 - 10.3847/2041-8213/aae70f
DO - 10.3847/2041-8213/aae70f
M3 - Article
AN - SCOPUS:85056705703
VL - 867
JO - Astrophysical Journal Letters
JF - Astrophysical Journal Letters
SN - 2041-8205
IS - 2
M1 - L30
ER -