Entropy Balance Equation of Spacetime Thermodynamics in f(R) Gravity

Abstract

We study spacetime thermodynamics for non-equilibrium processes. We first generalize the formulation of spacetime thermodynamics by using an observer outside the horizon. Then we construct the entropy balance equation of spacetime thermodynamics for non-equilibrium processes in f(R) gravity. The coefficients of the expansion and shear terms are equal to the viscosities of the black hole membrane paradigm, and a new entropy production term appears.

15 pages, 3 figures; Revised argument

References in corpus (5)

• Thermodynamics in $F(R)$ gravity with phantom crossing
• F(R) gravity equation of state
• Hydrodynamics of spacetime and vacuum viscosity
• The thermodynamic structure of Einstein tensor
• The Black Hole Membrane Paradigm in f(R) Gravity

Cited by in corpus (11)

• Thermodynamics of cosmological horizons in $f(T)$ gravity
• LCDM Model in f(T) Gravity: Reconstruction, Thermodynamics and Stability
• Horizon entropy and higher curvature equations of state
• An Exponential F(R) Dark Energy Model
• Thermodynamic properties of modified gravity theories
• Mechanical laws of the Rindler horizon
• Non-equilibrium thermodynamics of gravitational screens
• Stability of Schwarzschild-$f(R)$ gravity thin-shell wormholes
• Gravitational Energy, Local Holography and Non-equilibrium Thermodynamics
• Thermodynamics in Little Rip cosmology in the framework of a type of f(R,T) gravity
• The Einstein equation of state as the Clausius relation with an entropy production