Metric-affine effects in crystallization processes of white dwarfs

Abstract

We analyze the effects of modified gravity on specific heats of electrons and ions, Debye temperature, crystallization process, and cooling mechanism in white dwarfs. We derive the Lane-Emden-Chandrasekhar equation and relate it to the cooling process equations for Palatini $f(R)$ gravity. Moreover, for the first time in the literature, we show that the gravity model plays a crucial role not only in the mass and size of the white dwarf, but also affects their internal properties. We further demonstrate that modified gravity can decrease the cooling age significantly.

10 pages with 8 figures; version accepted for publication in PRD

References in corpus (17)

• The type Ia supernova SNLS-03D3bb from a super-Chandrasekhar-mass white dwarf star
• f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
• The underluminous Type Ia Supernova 2005bl and the class of objects similar to SN 1991bg
• Magnetic fields in isolated and interacting white dwarfs
• A highly magnetised and rapidly rotating white dwarf as small as the Moon
• On the 1/c Expansion of f(R) Gravity
• Modified Einstein's gravity as a possible missing link between sub- and super-Chandrasekhar type Ia supernovae
• Stability criterion for white dwarfs in Palatini $f(R)$ gravity
• Fermi gas and modified gravity
• Maximal Masses of White Dwarfs for Polytropes in $R^2$ Gravity and Theoretical Constraints
• Structure of Compact Stars in R-squared Palatini Gravity
• Gravitational wave in f(R) gravity: possible signature of sub- and super-Chandrasekhar limiting mass white dwarfs
• Metric-affine gravity effects on terrestrial (exo-)planets profiles
• Weak-field limit of $f(R)$ gravity to unify peculiar white dwarfs
• White dwarf binaries Across the H-R Diagram
• Do we need dense matter equation of state in curved spacetime for neutron stars?
• Cooling Process of White Dwarf Stars in Palatini $f(R)$ Gravity

Cited by in corpus (18)

• Unveiling Phase Space Modifications: A Clash of Modified Gravity and the Generalized Uncertainty Principle
• Planetary seismology as a test of modified gravity proposals
• Early evolution of fully convective stars in scalar-tensor gravity
• Cooling process of substellar objects in scalar-tensor gravity
• Constraining fundamental parameters in modified gravity using Gaia-DR2 massive white dwarf observation
• Palatini $f(R)$ gravity tests in the weak field limit: Solar System, seismology and galaxies
• Screening Mechanisms on White Dwarfs: Symmetron & Dilaton
• Propagation and lensing of gravitational waves in Palatini $f(\hat{R})$ gravity
• Crystallized white dwarf stars in scalar-tensor gravity
• White dwarf structure in $f(R,T,L_m)$ gravity: beyond the Chandrasekhar mass limit
• Bose-Einstein Condensate and Liquid Helium He${}^4$: Implications of GUP and Modified Gravity Correspondence
• Effects of modified gravity on microscopic properties and cooling timescale of white dwarfs
• Structural Implications of the Chameleon Mechanism on White Dwarfs
• Refining fundamental constants with white dwarfs: machine learning informed constraints on fine-structure constant and proton-to-electron mass ratio
• White dwarf cooling in $f(R,T)$ gravity
• Non-relativistic stellar structure in higher-curvature gravity: systematic construction of solutions to the modified Lane-Emden equations
• White Dwarf Envelops and Temperature Corrections in Exponential $f(T)$ Gravity
• Refining Bounds for Snyder and GUP Models through Seismic Wave Analysis