Test fields cannot destroy extremal de Sitter black holes

TL;DR

This paper proves that test fields cannot destroy extremal Kerr-Newman-de Sitter black holes by identifying the correct energy definition in such spacetimes.

Contribution

It determines the proper timelike Killing vector for energy in Kerr-Newman-de Sitter spacetime and uses it to show extremal black holes cannot be destroyed by test fields.

Findings

Test fields cannot destroy extremal Kerr-Newman-de Sitter black holes

Proper energy definition is crucial for analyzing black hole stability

The proof applies to extremal black holes in de Sitter space

Abstract

We determine the timelike Killing vector field that gives the correct definition of energy for test fields propagating in a Kerr-Newman-de Sitter spacetime, and use this result to prove that test fields cannot destroy extremal Kerr-Newman-de Sitter black holes.