Entropy of Reissner-Nordstr\"om-de Sitter black hole
General Relativity and Quantum Cosmology
2016-11-01 v1
Abstract
Based on the consideration that the black hole horizon and the cosmological horizon of Reissner-Nordstr\"om black hole in de Sitter space are not independent each other, we conjecture the total entropy of the system should have an extra term contributed from the entanglement between the two horizons, except for the sum of the two horizon entropies. Making use of the globally effective first law and the effective thermodynamic quantities, we derive the total entropy and find that it will diverge as the two horizons tends to coincide.
Keywords
Cite
@article{arxiv.1610.09886,
title = {Entropy of Reissner-Nordstr\"om-de Sitter black hole},
author = {Li-Chun Zhang and Ren Zhao and Meng-Sen Ma},
journal= {arXiv preprint arXiv:1610.09886},
year = {2016}
}
Comments
3 pages, 2 figures. In the published version, there are some errors in the equations (13-15). We correct them in this version. The conclusion is not affected