Entropy as logarithmic term of the central charge and modified Friedmann equation in AdS/CFT correspondence
General Relativity and Quantum Cosmology
2023-06-30 v1 High Energy Physics - Theory
Abstract
This paper is about the extended thermodynamics of AdS black holes and its relation to CFT thermodynamics. The logarithmic term of the central charge is interpreted as black hole entropy. We have obtain a modified Friedmann equation from the Smarr formula. We find that the AdS radius is the critical shadow radius. We obtain the Hawking-Bekenstein formula with logarithmic corrections, which depends on the central charge. The real gas in AdS is a dual of an ideal gas in CFT. This work can be extended to the AdS-Kerr black holes.
Keywords
Cite
@article{arxiv.2306.16426,
title = {Entropy as logarithmic term of the central charge and modified Friedmann equation in AdS/CFT correspondence},
author = {M. Bousder and E. Salmani and H. Ez-Zahraouy},
journal= {arXiv preprint arXiv:2306.16426},
year = {2023}
}
Comments
22 pages, 4 figures