Analysis of black hole thermodynamics with a new higher order generalized uncertainty principle

Hassan Hassanabadi,Won Sang Chung,Elham Maghsoodi

doi:10.1140/epjc/s10052-019-6871-8

Abstract

This research explores a unified expression for the black hole thermodynamics in the presence of a special generalized uncertainty principle (GUP). We have considered a heuristic analysis versus behavior of a particle which is absorbed by the black hole. Then we investigate the thermodynamic properties of the topological charged black hole under the consideration of GUP and we obtain the GUP-corrected temperature, entropy and heat capacity and we compare the behaviors of the usual temperature and the corrected temperature for the charged black hole in the spherical horizon case.

Highlights

The generalized uncertainty principle (GUP) raised of quantization of gravity is an adequate tool for describing black holes and their thermodynamic properties
By considering quantum gravity effects, thermodynamic quantities of black hole may be changed for example we can observe the temperature and entropy have corrected via GUP
GUP influences on the temperature, the entropy and the heat capacity

Summary

Introduction

The generalized uncertainty principle (GUP) raised of quantization of gravity is an adequate tool for describing black holes and their thermodynamic properties. By considering quantum gravity effects, thermodynamic quantities of black hole may be changed for example we can observe the temperature and entropy have corrected via GUP. [51], a heuristic method is introduced for investigating the usual form of GUP effects on the thermodynamics of a static black hole. This simple form of GUP has satisfied minimal length while it does not show the maximal momentum. Owing to our considered structure, the main purpose is to investigate the effects of the special form GUP on thermodynamics of the topological charged black hole. 4 we have calculated the GUP-corrected thermodynamic quantities of the charged black hole and discuss their properties.

Introduce a new higher order GUP

Black hole thermodynamics

A class of static and spherically black holes

Summery and numerical results

Findings

Conclusions