Radiation of Charged Black Holes and Modified Dispersion Relation

TL;DR

This paper explores how a modified dispersion relation affects the thermodynamics and decay of charged black holes in higher-dimensional universes, revealing new corrections and faster decay rates compared to traditional Hawking radiation.

Contribution

It introduces a novel analysis of charged black hole thermodynamics incorporating a modified dispersion relation, extending the study to spacetimes with multiple horizons and comparing with quantum gravity models.

Findings

Entropy, temperature, and heat capacity receive new corrections.

Charged black holes have fewer degrees of freedom and decay faster.

The emission rate analysis includes a logarithmic prefactor and dimension-charge relations.

Abstract

We investigate the effects of a modified dispersion relation proposed by Majhi and Vagenas on the Reissner-Nordstrom black hole thermodynamics in a universe with large extra dimensions. It is shown that entropy, temperature and heat capacity receive new corrections and charged black holes in this framework have less degrees of freedom and decay faster compared to black holes in the Hawking picture. We also study the emission rate of black hole and compare our results with other quantum gravity approaches. In this regard, the existence of the logarithmic prefactor and the relation between dimensions and charge are discussed. This procedure is not only valid for a single horizon spacetime but it is also valid for the spacetimes with inner and outer horizons.