False Vacuum Decay in Rotating BTZ Spacetimes

TL;DR

This paper investigates vacuum decay processes in rotating BTZ black hole spacetimes, revealing how black hole parameters influence decay rates and the resulting changes in black hole mass and horizon area.

Contribution

It provides a detailed analysis of vacuum decay in rotating BTZ spacetimes, highlighting the effects of black hole mass and angular momentum on nucleation rates and decay dynamics.

Findings

Nucleation rate dominated by static shell bounce solutions

Decay rate decreases with black hole mass

Decay rate increases with angular momentum

Abstract

We analyse vacuum decay in rotating BTZ black hole spacetimes with the thin wall approximation. Possible parameter regions for the vacuum decay are clarified. We find that the nucleation rate is dominated by the bounce solution with the static shell configuration. The nucleation rate of the static shell decreases with the mass of the initial black hole. For a larger/smaller value of the initial black hole, the nucleation rate can be smaller/larger than that of the Coleman De Luccia vacuum decay in the pure AdS spacetime. Through the vacuum decay, the black hole gains its mass and loses the horizon area. We also find that the nucleation rate increases with increasing the angular momentum of the spacetime.