Corrections to entropy and thermodynamics of charged black hole using generalized uncertainty principle

摘要

Recently, there has been much attention devoted to resolving the quantumcorrections to the Bekenstein-Hawking (black hole) entropy, which relates theentropy to the cross-sectional area of the black hole horizon. Usinggeneralized uncertainty principle (GUP), corrections to the geometric entropyand thermodynamics of black hole will be introduced. The impact of GUP on theentropy near the horizon of three types of black holes; Schwarzschild,Garfinkle-Horowitz-Strominger and Reissner-Nordstr\"om is determined. It isfound that the logarithmic divergence in the entropy-area relation turns to bepositive. The entropy $S$, which is assumed to be related to horizon'stwo-dimensional area, gets an additional terms, for instance $2\, \sqrt{\pi}\,\alpha\, \sqrt{S}$, where $\alpha$ is the GUP parameter.