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

2010/04/30 by Shaoyu Yin, Bin Wang, Robert Mann +4 · 3 citations
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Combinatorics #Cosmology and Gravitation Theories #De Sitter universe #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Schwarzschild radius #Spacetime #Spacetime topology #String (physics) #String theory #Theoretical physics #Topology (electrical circuits) #Universe #de Sitter–Schwarzschild metric #hep-th

paper · pdf · doi:10.1103/physrevd.82.064025

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 82(6) (American Physical Society) · 15 pages and 3 figures, revised version to appear in Phys. Rev. D

arxiv created 2010/08/17 · openalex publication_date 2010/09/20 · arxiv updated 2015/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• The phase transition between caged black holes and black strings
• Stability of BTZ black strings
• Black strings andp-branes are unstable
• Black holes in general relativity
• Black string solutions with negative cosmological constant
• PHASES OF HIGHER DIMENSIONAL BLACK HOLES
• Pair production of topological anti-de Sitter black holes
• Instabilities of black strings and branes
• Black holes with unusual topology
• Instability of Reissner-Nordström black holes in de Sitter backgrounds
• Evolution of a massless scalar field in Reissner-Nordström anti–de Sitter spacetimes
• Thermodynamics of black holes in anti-de Sitter space
• Axisymmetric Black Hole Has Only Two Degrees of Freedom
• Stability of a Schwarzschild Singularity
• The large N limit of superconformal field theories and supergravity