Detection of the Temperature Dependence of the White Dwarf Mass-Radius Relation with Gravitational Redshifts

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Main Authors: Crumpler, Nicole R., Chandra, Vedant, Zakamska, Nadia L., Pallathadka, Gautham Adamane, Arseneau, Stefan, Fusillo, Nicola Gentile, Hermes, J. J., Badenes, Carles, Chakraborty, Priyanka, Gänsicke, Boris T., Schmidt, Stephen P.
Format: Preprint
Published: 2024
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author Crumpler, Nicole R.
Chandra, Vedant
Zakamska, Nadia L.
Pallathadka, Gautham Adamane
Arseneau, Stefan
Fusillo, Nicola Gentile
Hermes, J. J.
Badenes, Carles
Chakraborty, Priyanka
Gänsicke, Boris T.
Schmidt, Stephen P.
author_facet Crumpler, Nicole R.
Chandra, Vedant
Zakamska, Nadia L.
Pallathadka, Gautham Adamane
Arseneau, Stefan
Fusillo, Nicola Gentile
Hermes, J. J.
Badenes, Carles
Chakraborty, Priyanka
Gänsicke, Boris T.
Schmidt, Stephen P.
contents Models predict that the well-studied mass-radius relation of white dwarf stars depends on the temperature of the star, with hotter white dwarfs having larger masses at a given radius than cooler stars. In this paper, we use a catalog of 26,041 DA white dwarfs observed in Sloan Digital Sky Survey Data Releases 1-19. We measure the radial velocity, effective temperature, surface gravity, and radius for each object. By binning this catalog in radius or surface gravity, we average out the random motion component of the radial velocities for nearby white dwarfs to isolate the gravitational redshifts for these objects and use them to directly measure the mass-radius relation. For gravitational redshifts measured from binning in either radius or surface gravity, we find strong evidence for a temperature-dependent mass-radius relation, with warmer white dwarfs consistently having greater gravitational redshifts than cool objects at a fixed radius or surface gravity. For warm white dwarfs, we find that their mean radius is larger and mean surface gravity is smaller than those of cool white dwarfs at 5.2σ and 6.0σ significance, respectively. Selecting white dwarfs with similar radii or surface gravities, the significance of the difference in mean gravitational redshifts between the warm and cool samples is >6.1σ and >3.6σ for measurements binned in radius and surface gravity, respectively, in the direction predicted by theory. This is an improvement over previous implicit detections, and our technique can be expanded to precisely test the white dwarf mass-radius relation with future surveys.
format Preprint
id arxiv_https___arxiv_org_abs_2412_14331
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Detection of the Temperature Dependence of the White Dwarf Mass-Radius Relation with Gravitational Redshifts
Crumpler, Nicole R.
Chandra, Vedant
Zakamska, Nadia L.
Pallathadka, Gautham Adamane
Arseneau, Stefan
Fusillo, Nicola Gentile
Hermes, J. J.
Badenes, Carles
Chakraborty, Priyanka
Gänsicke, Boris T.
Schmidt, Stephen P.
Solar and Stellar Astrophysics
Astrophysics of Galaxies
Models predict that the well-studied mass-radius relation of white dwarf stars depends on the temperature of the star, with hotter white dwarfs having larger masses at a given radius than cooler stars. In this paper, we use a catalog of 26,041 DA white dwarfs observed in Sloan Digital Sky Survey Data Releases 1-19. We measure the radial velocity, effective temperature, surface gravity, and radius for each object. By binning this catalog in radius or surface gravity, we average out the random motion component of the radial velocities for nearby white dwarfs to isolate the gravitational redshifts for these objects and use them to directly measure the mass-radius relation. For gravitational redshifts measured from binning in either radius or surface gravity, we find strong evidence for a temperature-dependent mass-radius relation, with warmer white dwarfs consistently having greater gravitational redshifts than cool objects at a fixed radius or surface gravity. For warm white dwarfs, we find that their mean radius is larger and mean surface gravity is smaller than those of cool white dwarfs at 5.2σ and 6.0σ significance, respectively. Selecting white dwarfs with similar radii or surface gravities, the significance of the difference in mean gravitational redshifts between the warm and cool samples is >6.1σ and >3.6σ for measurements binned in radius and surface gravity, respectively, in the direction predicted by theory. This is an improvement over previous implicit detections, and our technique can be expanded to precisely test the white dwarf mass-radius relation with future surveys.
title Detection of the Temperature Dependence of the White Dwarf Mass-Radius Relation with Gravitational Redshifts
topic Solar and Stellar Astrophysics
Astrophysics of Galaxies
url https://arxiv.org/abs/2412.14331