Thermal dimensional reduction and black hole evaporation

TL;DR

This paper investigates how quantum gravity-induced changes in thermal dimensions, modeled via modified dispersion relations, influence black hole geometry and thermodynamics, with a focus on the case where thermal dimensions reduce to two.

Contribution

It introduces a framework to analyze the effects of thermal dimension reduction on black hole properties using modified dispersion relations and Kiselev's solution.

Findings

Thermal dimension reduction alters black hole evaporation rates.

The case of two thermal dimensions shows significant thermodynamic changes.

Modified dispersion relations impact black hole geometry and thermodynamics.

Abstract

We analyze how a quantum-gravity-induced change in the number of thermal dimensions (through a modified dispersion relation) affects the geometry and the thermodynamics of a charged black hole. To that end we resort to Kiselev's solution as the impact such modifications have on the evaporation rate of the black hole becomes more clear. As an application, we study the case for which the thermal dimension is reduced to two.