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

Abstract

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, seems 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.

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

References in corpus (13)

• The type Ia supernova SNLS-03D3bb from a super-Chandrasekhar-mass white dwarf star
• The Luminous and Carbon-Rich Supernova 2006gz: A Double Degenerate Merger?
• New mass limit for white dwarfs: super-Chandrasekhar type Ia supernova as a new standard candle
• The underluminous Type Ia Supernova 2005bl and the class of objects similar to SN 1991bg
• Consistent estimates of (56)Ni yields for type Ia supernovae
• Stellar equilibrium configurations of white dwarfs in the $f(R,T)$ gravity
• $f(R)$ Gravity Inflation with String-Corrected Axion Dark Matter
• On the 1/c Expansion of f(R) Gravity
• Maximum mass of stable magnetized highly super-Chandrasekhar white dwarfs: stable solutions with varying magnetic fields
• Stability criterion for white dwarfs in Palatini $f(R)$ gravity
• One possible solution of peculiar type Ia supernovae explosions caused by a charged white dwarf
• Weak-field limit of f(R)-gravity in three and more spatial dimensions
• Gravitational wave in f(R) gravity: possible signature of sub- and super-Chandrasekhar limiting mass white dwarfs

Cited by in corpus (13)

• Tideless Traversable Wormholes surrounded by cloud of strings in $f(R)$ gravity
• Fermi gas and modified gravity
• Metric-affine effects in crystallization processes of white dwarfs
• Giant planet formation in Palatini gravity
• Early evolution of fully convective stars in scalar-tensor gravity
• Cooling Process of White Dwarf Stars in Palatini $f(R)$ Gravity
• Cooling process of substellar objects in scalar-tensor gravity
• Constraining fundamental parameters in modified gravity using Gaia-DR2 massive white dwarf observation
• Crystallized white dwarf stars in scalar-tensor gravity
• White dwarf structure in $f(R,T,L_m)$ gravity: beyond the Chandrasekhar mass limit
• White dwarf cooling in $f(R,T)$ gravity
• Refining fundamental constants with white dwarfs: machine learning informed constraints on fine-structure constant and proton-to-electron mass ratio
• Massive Neutron Stars and White Dwarfs as Noncommutative Fuzzy Spheres