Stability and Anti-evaporation of the Schwarzschild-de Sitter Black Holes in Bigravity

TL;DR

This paper investigates the stability and anti-evaporation phenomena of Schwarzschild-de Sitter black holes within bigravity, concluding that anti-evaporation does not occur at the classical level under certain conditions.

Contribution

It demonstrates the classical stability of Nariai space-time in bigravity and clarifies the absence of anti-evaporation effects in this context.

Findings

Anti-evaporation does not occur classically in bigravity.

Existence of Nariai space-time as a background solution.

Conditions for asymptotically de Sitter space-time.

Abstract

We study the stability under the perturbation and the related anti-evaporation of the Nariai space-time in bigravity. If we impose specific condition for the solutions and parameters, we obtain asymptotically de Sitter space-time, and show the existence of the Nariai space-time as a background solution. Considering the perturbation around the Nariai space-time up to first order, we investigate the behavior of black hole horizon. We show that the anti-evaporation does not occur on the classical level in the bigravity.