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.
“…[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.…”
A short overview of black hole entropy in alternative gravitational theories is presented. Motivated by the recent attempts to explain the cosmic acceleration without dark energy, we focus on metric and Palatini f (R) gravity and on scalar-tensor theories.
“…[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.…”
A short overview of black hole entropy in alternative gravitational theories is presented. Motivated by the recent attempts to explain the cosmic acceleration without dark energy, we focus on metric and Palatini f (R) gravity and on scalar-tensor theories.
“…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.…”
In this paper we consider a model universe with large extra dimensions to obtain a modified black hole entropy-area relation. We use the generalized uncertainty principle to find a relation between the number of spacetime dimensions and the presence or vanishing of logarithmic prefactor in the black hole entropy-area relation. Our calculations are restricted to the microcanonical ensembles and we show that in the modified entropy-area relation, the microcanonical logarithmic prefactor appears only when spacetime has an even number of 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].…”
We investigate the effects to all orders in the Planck length, from a generalized uncertainty principle (GUP), on the thermodynamic parameters of radiating Schwarzschild black holes in a scenario with large extra dimensions. We show that black holes in this framework are hotter, have less degrees of freedom and decay faster compared to black holes in the Hawking picture and in the framework with GUP to leading order in the Planck length. Particularly, we show that the final stage of the evaporation process is a black hole remnant with zero entropy, zero heat capacity and non zero finite temperature. We finally compare our results with the ones obtained in the standard Hawking picture and with the generalized uncertainty principle to leading order in the Planck length.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.