Black holes thermodynamics to all orders in the Planck length in extra dimensions

TL;DR

This paper explores how quantum gravity effects, modeled via a generalized uncertainty principle, influence the thermodynamics of black holes in extra dimensions, revealing faster decay, hotter temperatures, and stable remnants.

Contribution

It extends black hole thermodynamics to all orders in the Planck length within extra-dimensional scenarios, incorporating a generalized uncertainty principle.

Findings

Black holes are hotter and decay faster.

Final remnants have zero entropy and heat capacity.

Comparison with standard Hawking radiation shows significant differences.

Abstract

We investigate the effects to all orders in the Planck length, from a generalized uncertainty principle, on the thermodynamic parameters of radiating Schwarzschild black holes in a scenario with large extra dimesions. We show that black holes in this framework are hotter, decay faster and are less classical objects. Particularly, we show that the final stage of the radiation process is a black hole remnant with zero entropy, zero heat capacity and non zero finite temperature. We finally compare our results with the ones obtained in the standard Hawking picture and with the generalized uncertainty principle to leading order in the Planck length.