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.

arXiv comment10 pages with 8 figures; version accepted for publication in PRD

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• 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
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• 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
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