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

Abstract

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking (black hole) entropy, which relates the entropy to the crosssectional area of the black hole horizon. Using generalized uncertainty principle (GUP), corrections to the geometric entropy and thermodynamics of black hole will be introduced. The impact of GUP on the entropy near the horizon of three types of black holes: Schwarzschild, Garfinkle-Horowitz-Strominger and Reissner-Nordström is determined. It is found that the logarithmic divergence in the entropy-area relation turns to be positive. The entropy S, which is assumed to be related to horizon's two-dimensional area, gets an additional terms, for instance 2 √ πα √ S, where α is the GUP parameter.

Tunneling Glashow-Weinberg-Salam Model Particles from Black Hole Solutions in Rastall Theory

“…The important contribution of the GUP is to remove the divergences in physics. On the other hand, GUP can be used to modify Proca equation and Klein-Gordon equation to obtain the effects of the GUP on the Hawking temperature and check if it leaves remnants [50][51][52][53]. Nozari and Mehdipour [54] have discussed BH remnants and their cosmological constraints.…”

Asymptotically charged BTZ black holes in gravity’s rainbow

“…Besides, the generalized uncertainty principle (GUP) which comes from various approaches to quantum gravity, is based on the existence of minimum measurable length scale [20][21][22][23][24][25][26]. Such minimum length scale has been applied to black hole thermodynamics [27][28][29][30][31]. From string theory point of view, it is not possible to probe spacetime below the string length scale and one can translate the minimum length scale into a maximum energy scale [32][33][34][35][36][37].…”

Corrections to the Hawking Tunneling Radiation from MDR

“…Also, it was found that black holes have a remnant in the context of MDR, GUP, NCG and Rainbow Gravity in Refs. [47][48][49][50][51][52][53]. Such remnants of black holes may be viewed as a candidate for cold dark matter.…”