2008/03/31 by Lihui Liu, Bin Wang · 22 citations
Mathematics · Physics and Astronomy · #BTZ black hole #Black Holes and Theoretical Physics #Black brane #Black string #Charged black hole #Classical mechanics #Compactification (mathematics) #Cosmology and Gravitation Theories #Entropy (arrow of time) #Extremal black hole #Geometry #Gravitation #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Perturbation (astronomy) #Physics #Pure mathematics #Quantum mechanics #Scalar (mathematics) #String theory #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.78.064001
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 78(6) (American Physical Society) · 9 pages, revised version to appear in Phys. Rev. D
arxiv created 2008/07/29 · openalex publication_date 2008/09/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the dynamical stability of the Banados-Teitelboim-Zanelli (BTZ) black string against fermionic and gravitational perturbations. The BTZ black string is not always stable against these perturbations. There exist threshold values for m2 related to the compactification of the extra dimension for fermionic perturbation, the scalar part of the gravitational perturbation, and the tensor perturbation, respectively. Above the threshold values, perturbations are stable; while below these thresholds, perturbations can be unstable. We find that this nontrivial stability behavior qualitatively agrees with that predicted by a thermodynamical argument, showing that the BTZ black string phase is not the privileged stable phase.