Vacuum decay and bubble nucleation in the anti-de Sitter black holes

TL;DR

This paper investigates how anti-de Sitter black holes influence vacuum decay and bubble nucleation, showing that black holes can catalyze these processes with rates depending on black hole parameters.

Contribution

It provides a detailed calculation of tunneling rates for vacuum decay in AdS black hole spacetimes, highlighting the black hole's role as a catalyst.

Findings

Black holes act as sources of inhomogeneities that catalyze vacuum decay.

Tunneling rates vary with black hole parameters, with RNAdS black holes having the highest rate to the minimal mass state.

Numerical results quantify the influence of black hole properties on bubble nucleation.

Abstract

We study the vacuum decay and the bubble nucleation in the anti-de Sitter black holes. In the bubble nucleation spacetime, the interior and the exterior of the bubble wall are described by two anti-de Sitter black hole spacetimes with different cosmological constants. We calculate the Euclidean action of the bubble nucleation spacetime and give the numerical results of the tunneling rates for different cases. It is shown that the black hole can act as a source of inhomogeneities and catalyze the vacuum decay and the bubble nucleation in the anti-de Sitter spacetime. For the RNAdS black holes, the tunneling rate to the final RNAdS black hole with the minimum critical mass is the highest among all the possible tunneling channels.