On superstatistics and black hole quasinormal modes

Abstract

It is known that one can determine that lowest value of spin is $j_{min}=1$, by using the quasinormal modes of black holes, the Bekenstein-Hawking entropy and Boltzmann-Gibbs statistics. In this paper, to determine $j_{min}$, we have used non extensive entropies that depend only on the probability (known as Obregon's entropies and have been derived from superstatistics), as well as non extensive entropies that have free parameters . We find that $j_{min}$ depends on the area and the non extensive parameter. In particular, for the non extensive entropies that only depend on the probability and 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.Comment: 8 pages, 4 figure