Stability of the warped black string with nontrivial topology in five-dimensional Anti-de Sitter spacetime

TL;DR

This paper examines the stability of a novel warped black string with complex topology in five-dimensional Anti-de Sitter space, revealing instability under specific Kaluza-Klein mass conditions across all topologies.

Contribution

It introduces and analyzes the stability of a new warped black string with nontrivial topology in five-dimensional AdS space, highlighting conditions for instability.

Findings

Black string is unstable for certain Kaluza-Klein masses

Instability persists across all topological configurations

Linear gravitational perturbation analysis confirms instability

Abstract

We investigate the stability of a new warped black string with nontrivial topologies in five-dimensional Anti-de Sitter spacetime. After studying the linear gravitational perturbation, we find that this black string is unstable when the Kaluza-Klein mass falls in a certain range and the instability exists for all topological spacetimes.