Thermodynamics of black hole in $D$-dimensional $f(R)$ theory

Abstract

We consider whether the new horizon-first law works in higher-dimensional $f(R)$ theory. We firstly obtain the general formulas to calculate the entropy and the energy of a general spherically-symmetric black hole in $D$-dimensional $f(R)$ theory. For applications, we compute the entropies and the energies of some black hokes in some interesting higher-dimensional $f(R)$ theories.

arXiv comment9 pages, no figure

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Cited by in corpus (3)

• $(2+1)$-Dimensional Black Holes in $f(R,\varphi )$ Gravity
• Calculating the Hawking Temperatures of Conventional Black Holes in the f(R) Gravity Models with the RVB Method
• Black holes in $f(R)$ gravity coupled to nonlinear electromagnetic fields