Corrections to the entropy in higher order gravity

Abstract

Thermal corrections to the entropy of black holes in the Lovelock gravity are calculated. As the thermodynamic behavior of the black holes of this theory falls into two classes, the thermodynamic quantities are computed in each case. Finally, the logarithmic prefactors are obtained in two different limits.

Black Hole Entropy in Scalar-Tensor and ƒ(R) Gravity: An Overview

“…[120,123,122,124,125,126,127,128] for discussions in the context of metric f (R) gravity. We have not discussed studies of the Bekenstein-Hawking entropy in Lovelock [55,57,50,129,130] and Gauss-Bonnet [48,49,50,51] gravity, or in theories with Lorentz violation in which thermodynamical considerations have been claimed to allow for the possibility of perpetual motion machines of the second kind [131]-see also [132,133]. This claim has been reconsidered and shown to be invalid in tensor-vector-scalar (TeVeS) theories in Ref.…”

On the existence of the logarithmic correction term in black hole entropy-area relation

“…They have argued that this observation implies the necessity for including the canonical corrections in the quantum formulation of the black hole entropy. There are other literatures considering logarithmic corrections to the black hole entropyarea relation(see for example [6][7][8]), but there is no explicit statement about the exact value of this prefactor and specially its dependence to spacetime dimensionality. There are several questions about the value of this prefactor.…”

Black hole thermodynamics to all orders in the Planck length in extra dimensions

“…The inert character of the BHR, besides gravitational interactions, renders this object a serious candidate to explain the origin of dark matter [54,55]. Particular attention has also been devoted to the computation of the entropy and to the sub-leading logarithmic correction [56][57][58][59][60][61][62][63][64]. The phenomenological properties of black holes in the framework of the ADD model with GUP have also been recently studied [26,65].…”