From the Schwarzschild Anti de Sitter Black Hole to the Conformal Field Theory

2015/09/29 by Sefiedgar, Akram Sadat
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.1509.08696

Abstract

The emergence of the quantum gravitational effects in a very high energy regime necessitates some corrections to the thermodynamics of Black holes. In this letter, we investigate a possible modification to the thermodynamics of Schwarzschild anti de Sitter (SAdS) black holes due to rainbow gravity model. Using the correspondence between a (d+1)-dimensional SAdS black hole and a conformal filed theory in d-dimensional spacetime, one may find the corrections to the Cardy-Verlinde formula from the modified thermodynamics of the black hole. Furthermore, we show that the corrected Cardy-Verlinde formula can also be derived by redefining the Virasoro operator and the central charge.

Related

• The Conformal Version of Black Hole Thermodynamics
• Semiclassical methods in curved spacetime and black hole thermodynamics
• The Schwarzschild/CFT Correspondence: Weyl Rescaled Case
• Black Hole Thermodynamics in Harada's inspired theory of gravity: Stability, Phase Structure and Geometrothermodynamics
• Gravitational thermodynamics and universal holographic duality in dynamical spacetimes