Thermodynamic approach to field equations in Lovelock gravity and f(R) gravity revisited

Abstract

The first law of thermodynamics at black hole horizons is known to be obtainable from the gravitational field equations. A recent study claims that the contributions at inner horizons should be considered in order to give the conventional first law of black hole thermodynamics. Following this method, we revisit the thermodynamic aspects of field equations in the Lovelock gravity and f(R) gravity by focusing on two typical classes of charged black holes in the two theories.

arXiv comment10 pages, no figures; v2: clarifications and references added, to appear in Int. J. Mod. Phys. D

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Cited by in corpus (5)

• Charged Black Hole Solutions in Gauss-Bonnet-Massive Gravity
• Noncommutative geometry inspired black holes in Rastall gravity
• Emergent cosmic space in Rastall theory
• Phase transition of charged black holes in massive gravity through new methods
• Thermal stability of a special class of black hole solutions in F(R) gravity