Abstract

It is known that using Boltzmann-Gibbs statistics, Bekenstein-Hawking entropy SHB, and the quasinormal modes of black holes, one finds that the lowest value of spin is jmin=1. In this paper, we determine jmin, using non-extensive entropies that depend only on the probability (known as Obregon's entropies and have been derived from superstatistics). We also calculate jmin for a set of non-extensive entropies that have free parameters and are written in terms of SBH. We find that jmin depends on the area and the non-extensive parameter.For the non-extensive entropies that only depend on the probability, we find that the modification is only present for micro black holes. For classical black holes the results are the same as for the Boltzmann-Gibbs statistics.

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