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Register a new userOn the nature of Renyi modified entropy and the Incomplete statistics approach in black holes thermodynamics
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In this work we have investigated the effects of the two highlighted nongaussian entropies which are the modified Renyi entropy and the so-called Incomplete statistics in the analysis of the thermodynamics of black holes (BHs). We have obtained the equipartition theorems and after that we obtained the heat capacities for both approaches. Depending on the values of both $lambda-$parameter and $M$, the BH mass, relative to a modified Renyi entropy and, depending on the values of the $q-$parameter and $M$, the Incomplete entropy can determine if the BH has an unstable thermal equilibrium or not for each model.
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Considering corrections produced by modified dispersion relations on the equation of state parameter of radiation, we study the induced black hole metric inspired by Kiselevs ansatz, thus defining a deformed Reissner-Nordstr{o}m metric. In particular, we consider thermodynamic properties of such a black hole from the combined viewpoints of the modified equation of state parameter and the phenomenological approach to the quantum gravity problem called rainbow gravity.
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