Weak-field limit of f(R) gravity to unify peculiar white dwarfs

Kalita, Surajit; Sarmah, Lupamudra

doi:10.1016/j.physletb.2022.136942

Weak-field limit of f(R) gravity to unify peculiar white dwarfs

Jan 28, 2022

10 pages

Published in:

Phys.Lett.B 827 (2022) 136942

Published: Apr 10, 2022

e-Print:

2201.12210 [gr-qc]

DOI:

10.1016/j.physletb.2022.136942 (publication)

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Abstract: (Elsevier B.V.)

In recent years, the idea of sub- and super-Chandrasekhar limiting mass white dwarfs (WDs), which are potential candidates to produce under- and over-luminous type Ia supernovae, respectively, has been a key interest in the scientific community. Although researchers have proposed different models to explain these peculiar objects, modified theories of Einstein's gravity, particularly

f (R)

gravity with R being the scalar curvature, seem to be one of the finest choices to explain both the regimes of these peculiar WDs. It was already shown that considering higher-order corrections to the Starobinsky model with two parameters, the structure of sub- and super-Chandrasekhar progenitor WDs can be explained self consistently. It is also well-known that WDs can be considered Newtonian objects because of their large size. In this paper, we derive the weak-field limit of

f (R)

gravity, which turns out to be the higher-order correction to the Poisson equation. Later, we use this equation to obtain the structures of sub- and super-Chandrasekhar limiting mass WDs at various central densities incorporating just one model parameter.

Note:

10 pages with 1 figure; accepted for publication in Physics Letters B

Modified gravity
White dwarfs
Chandrasekhar limit

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