Moving Schwarzschild Black Hole and Modified Dispersion Relations

TL;DR

This paper investigates the thermodynamics of moving Schwarzschild black holes, explores the impact of modified dispersion relations, and establishes criteria to evaluate their physical viability within a relativistic framework.

Contribution

It introduces a relativistic approach to black hole thermodynamics and develops criteria to assess the plausibility of generalized dispersion relations.

Findings

Derived temperature and entropy for moving black holes.

Established invariance criteria under spacetime transformations.

Identified conditions to exclude unphysical dispersion relations.

Abstract

We study the thermodynamics of a moving Schwarzschild black hole, identifying the temperature and entropy in a relativistic scenario. Furthermore, we set arguments in a framework relating invariant geometrical quantities under global spacetime transformations and the dispersion relation of the system. We then extended these arguments in order to consider more general dispersion relations, and identify criteria to rule them out.