Analysis of black hole thermodynamics under Generalized uncertainty principle from the doubly special relativity

2019/01/26 by E. Maghsoodi, H. Hassanabadi, Maghsoodi, E. +3
Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.1901.10305

arxiv created 2019/01/26 · arxiv updated 2019/01/30

Abstract

In this paper, we investigate effect of the generalized uncertainty principle (GUP) under the doubly special relativity (DSR) on the thermodynamics properties of the topological charged black hole in Anti-de Sitter (AdS) space only in the spherical horizon case have. Our study is based on a heuristic analysis of a particle which is captured by the black hole. We also report here some results of a usual analytical computation. However, we obtain the black hole thermodynamic properties as familiar concepts such as temperature, entropy and heat capacity under DSR-GUP. we also compare our both analytical results. Beside we discuss the behavior of the corrected thermodynamic properties vs. changes of black hole characteristics under different condition.

Related

• Quantum black hole in the generalized uncertainty principle framework
• Thermodynamics of Einstein-Gauss-Bonnet Black Holes under the Generalized Uncertainty Principle
• Thermodynamics of a class of regular black holes with a generalized uncertainty principle
• Thermodynamics of a black hole based on a generalized uncertainty principle
• Phase transitions of GUP-corrected charged AdS black hole