Quantum-Corrected Black Hole Thermodynamics in Extra Dimensions

TL;DR

This paper explores how quantum gravitational effects, modeled via the Generalized Uncertainty Principle, modify black hole thermodynamics in extra-dimensional universes, highlighting black hole radiation primarily in four dimensions and the potential for remnants as dark matter.

Contribution

It introduces a generalized GUP framework to analyze black hole thermodynamics in large extra dimensions, revealing new insights into black hole radiation and remnants.

Findings

Black holes radiate mainly on the four-dimensional brane.

Existence of black hole remnants as dark matter candidates.

Quantum corrections significantly alter thermodynamic properties.

Abstract

Bekenstein-Hawking formalism of black hole thermodynamics should be modified to incorporate quantum gravitational effects. Generalized Uncertainty Principle(GUP) provides a suitable framework to perform such modifications. In this paper, we consider a general form of GUP to find black hole thermodynamics in a model universe with large extra dimensions. We will show that black holes radiate mainly in the four-dimensional brane. Existence of black holes remnants as a possible candidate for dark matter is discussed.