Modified dispersion relations and black hole physics

TL;DR

This paper explores how modified energy-momentum relations in doubly special relativity influence black hole properties, leading to potential black hole remnants that could serve as dark matter candidates.

Contribution

It introduces a new formulation of dispersion relations and analyzes their effects on black hole temperature, entropy, and Hawking radiation near the Planck scale.

Findings

Modified dispersion relations alter black hole temperature and entropy.

These modifications significantly impact Hawking radiation for small black holes.

Black holes may not fully evaporate, leaving stable remnants as dark matter candidates.

Abstract

A modified formulation of energy-momentum relation is proposed in the context of doubly special relativity. We investigate its impact on black hole physics. It turns out that such modification will give corrections to both the temperature and the entropy of black holes. In particular this modified dispersion relation also changes the picture of Hawking radiation greatly when the size of black holes approaching the Planck scale. It can prevent black holes from total evaporation, as a result providing a plausible mechanism to treat the remnant of black holes as a candidate for dark matter.