Stability criterion for white dwarfs in Palatini $f(R)$ gravity

Abstract

Recent observations of several peculiar over- and under-luminous type Ia supernovae infer indirect evidence for the violation of the Chandrasekhar mass-limit by suggesting the existence of super- and sub-Chandrasekhar limiting mass white dwarfs. In an attempt to explain these phenomena in the context of general relativistic extensions, we study these objects in Palatini $f(R)$ gravity. We obtain the super- and sub-Chandrasekhar limiting masses as well as the dynamical instability criteria for white dwarfs in the given gravitational theory. We further demonstrate that the conventional positivity condition $\partial M/\partial {\rho }_{\text{c}}>0$ with $M$ being the WD's mass with central density ${\rho }_{\text{c}}$, is also a valid criterion for stability in Palatini gravity.

12 pages with 4 figures; version accepted for publication in Phys. Rev. D

References in corpus (18)

• Gravitational-wave sensitivity curves
• The type Ia supernova SNLS-03D3bb from a super-Chandrasekhar-mass white dwarf star
• Extreme neutron stars from Extended Theories of Gravity
• f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
• Science with the TianQin Observatory: Preliminary results on Galactic double white dwarf binaries
• The underluminous Type Ia Supernova 2005bl and the class of objects similar to SN 1991bg
• 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
• Curvature scalar instability in f(R) gravity
• Inflation in $f(R,T)$ Gravity
• Radial oscillations and stability of compact stars in $f(R,T)=R+2\beta T$ gravity
• Equivalence of inflationary models between the metric and Palatini formulation of scalar-tensor theories
• Modified Einstein's gravity as a possible missing link between sub- and super-Chandrasekhar type Ia supernovae
• Cooling process of brown dwarfs in Palatini f(R) gravity
• Emergence of dynamical dark energy from polynomial $f(R)$ theory in Palatini formalism
• Gravitational wave in f(R) gravity: possible signature of sub- and super-Chandrasekhar limiting mass white dwarfs
• Extended Theories of Gravity with Generalized Energy Conditions

Cited by in corpus (7)

• Anisotropic Spheres Via Embedding Approach in $f(R,\varphi ,X)$ Gravity
• Weak-field limit of $f(R)$ gravity to unify peculiar white dwarfs
• White dwarfs in regularized 4D Einstein-Gauss-Bonnet gravity
• Cooling Process of White Dwarf Stars in Palatini $f(R)$ Gravity
• Refining fundamental constants with white dwarfs: machine learning informed constraints on fine-structure constant and proton-to-electron mass ratio
• Identifying highly magnetized white dwarfs: A dimensionality reduction framework for estimating magnetic fields
• Massive Neutron Stars and White Dwarfs as Noncommutative Fuzzy Spheres