Black hole dynamical evolution in a Lorentz-violating spacetime

TL;DR

This paper explores how Lorentz-violating modifications to spacetime affect black hole evolution, leading to significant deviations from standard predictions, including a slow final evaporation stage influenced by a Lorentz-violating parameter.

Contribution

It introduces a Schwarzschild-like metric with Lorentz violation, revealing novel black hole evolution dynamics and a non-zero minimum mass, differing from classical theory.

Findings

Black holes exhibit a non-zero minimum mass during evolution.

Most evaporation occurs early, followed by a stationary phase.

Final black hole death is slow, contrasting with explosive predictions.

Abstract

We consider the black hole dynamical evolution in the framework of a Lorentz-violating spacetime endowed with a Schwarzchild-like momentum-dependent metric. Large deviations from the Hawking-Bekenstein predictions are obtained, depending on the values of the Lorentz-violating parameter lambda introduced. A non-trivial evolution comes out, following mainly from the existence of a non-vanishing minimum mass: for large Lorentz violations, most of the black hole evaporation takes place in the initial stage, which is then followed by a stationary stage (whose duration depends on the value of lambda) where the mass does not change appreciably. Furthermore, for the final stage of evolution, our model predicts a sweet slow death of the black hole, whose "slowness" again depends on lambda, in contrast with the violent final explosion predicted by the standard theory.