Fermi gas and modified gravity

Abstract

We derive the equations of state of Fermi gas by maximizing the Fermi-Dirac entropy in modified gravity in relativistic and non-relativistic case. It will be demonstrated that the microphysics must depend on a given theory of gravity in order to consistently describe a physical system at a statistical equilibrium state.

11 pages, a few references added, accepted to Phys. Rev. D

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Cited by in corpus (20)

• Metric-affine effects in crystallization processes of white dwarfs
• Compact stellar structures in Weyl geometric gravity
• Fermi equation of state with finite temperature corrections in quantum space-times approach: Snyder model vs GUP case
• 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 White Dwarf Stars in Palatini $f(R)$ Gravity
• Constraining Palatini gravity with GR-independent equations of state for neutron stars
• Cooling process of substellar objects in scalar-tensor gravity
• Matter really does matter, or Why $f(R,\mathrm{Matter})$ type theories are significant for gravitational physics and cosmology
• Palatini $f(R)$ gravity tests in the weak field limit: Solar System, seismology and galaxies
• Crystallized white dwarf stars in scalar-tensor gravity
• Propagation and lensing of gravitational waves in Palatini $f(\hat{R})$ gravity
• Application of Kaluza-Klein Theory in Modeling Compact Stars: Exploring Extra Dimensions
• Effects of modified gravity on microscopic properties and cooling timescale of white dwarfs
• Bose-Einstein Condensate and Liquid Helium He${}^4$: Implications of GUP and Modified Gravity Correspondence
• White dwarf cooling in $f(R,T)$ gravity
• White Dwarf Envelops and Temperature Corrections in Exponential $f(T)$ Gravity
• Refining Bounds for Snyder and GUP Models through Seismic Wave Analysis
• Neutron Stars in Scalar Torsion Theories with Nonminimal Coupling