Entropy and Energy of Static Spherically Symmetric Black Hole in $f(R)$ theory

Abstract

We consider the new horizon first law in $f(R)$ theory with general spherically symmetric black hole. We derive the general formulas to computed the entropy and energy of the black hole. For applications, some nontrivial black hole solutions in some popular $f(R)$ theories are investigated, the entropies and the energies of black holes in these models are first calculated.

10 pages, no picture

References in corpus (12)

• Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• Stability of Cosmological Solution in f(R) Models of Gravity
• Einstein's equations as a thermodynamic identity: The cases of stationary axisymmetric horizons and evolving spherically symmetric horizons
• Charged spherically symmetric black holes in $f(R)$ gravity and their stability analysis
• F(R) gravity equation of state
• New Energy Definition for Higher Curvature Gravities
• On the Energy Issue for a Class of Modified Higher Order Gravity Black Hole Solutions
• Horizon thermodynamics in $f(R)$ theory
• Noether Charge and Black Hole Entropy in Modified Theories of Gravity
• Horizon Thermodynamics and Gravitational Field Equations in Quasi-Topological Gravity
• Is gravity entropic force?

Cited by in corpus (3)

• Thermodynamics of black hole in $D$-dimensional $f(R)$ theory
• Black holes in $f(R)$ gravity coupled to nonlinear electromagnetic fields
• Horizon thermodynamics in $f(R,R^{\mu \nu }{R}_{\mu \nu })$ theory