Cosmic Censorship of Rotating Anti-de Sitter Black Hole

TL;DR

This paper investigates whether rotating anti-de Sitter black holes can be overspun by particle absorption, and finds that cosmic censorship remains valid as the horizon persists after absorption.

Contribution

It provides a detailed analysis of extremal rotating anti-de Sitter black holes under particle absorption, confirming the validity of cosmic censorship in this context.

Findings

The black hole's mass increases more than its angular momentum during particle absorption.

The outer horizon of the black hole remains intact after absorption.

Cosmic censorship holds for rotating anti-de Sitter black holes under the studied conditions.

Abstract

We test the validity of cosmic censorship in the rotating anti-de Sitter black hole. For this purpose, we investigate whether the extremal black hole can be overspun by the particle absorption. The particle absorption will change the mass and angular momentum of the black hole, which is analyzed using the Hamilton-Jacobi equations consistent with the laws of thermodynamics. We have found that the mass of the extremal black hole increases more than the angular momentum. Therefore, the outer horizon of the black hole still exists, and cosmic censorship is valid.