White dwarf massradius relation in theories beyond general relativity
Abstract
We explore the internal structures of the white dwarfs in two different modified theories of gravity: (i) scalartensorvector gravity and (ii) beyond Horndeski theories of $G_3$ type. The modification of the gravitational force inside the white dwarf results in the modification of the mass and radius of the white dwarf. We use observational data from various astrophysical probes including $\textit{Gaia}$ to test the validity of these two classes of modified theories of gravity. We update the constraints on the parameters controlling the deviation from general relativity (and Newtonian gravity in the weak field limit) as : $0.007 \le \alpha$ for the scalartensorvector gravity and $0.08 \le \gamma \le 0.007$ for the beyond Horndeski theories of $G_3$ type. Finally, we demonstrate the selection effect of the astrophysical data on the tests of the nature of gravity using white dwarf massradius relations specially in cases where the number of datapoints are not many.
 Publication:

arXiv eprints
 Pub Date:
 January 2023
 DOI:
 10.48550/arXiv.2301.08677
 arXiv:
 arXiv:2301.08677
 Bibcode:
 2023arXiv230108677A
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  Astrophysics of Galaxies
 EPrint:
 8 pages, 6 figures