Configurational entropy of antide Sitter black holes
Abstract
Recent studies indicate that the configurational entropy is an useful tool to investigate the stability and (or) the relative dominance of states for diverse physical systems. Recent examples comprise the connection between the variation of this quantity and the relative fraction of light mesons and glueballs observed in hadronic processes. Here we develop a technique for defining a configurational entropy for an AdSSchwarzschild black hole. The achieved result corroborates consistency with the HawkingPage phase transition. Namely, the dominance of the black hole configurational entropy will be shown to increase with the temperature. In order to verify the consistency of the new procedure developed here, we also consider the case of black holes in flat spacetime. For such a black hole, it is known that evaporation leads to instability. The configurational entropy obtained for the flat space case is thoroughly consistent with the physical expectation. In fact, we show that the smaller the black holes, the more unstable they are. So, the configurational entropy furnishes a reliable measure for stability of black holes.
 Publication:

Physics Letters B
 Pub Date:
 April 2017
 DOI:
 10.1016/j.physletb.2017.02.031
 arXiv:
 arXiv:1612.03289
 Bibcode:
 2017PhLB..767..386B
 Keywords:

 Configurational entropy;
 Gaugegravity correspondence;
 AdSSchwarzschild black holes;
 HawkingPage transition;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 7 pages, 4 figures