Stability of BTZ black strings

Abstract

We study the dynamical stability of the BTZ black string against fermonic and gravitational perturbations. The BTZ black string is not always stable against these perturbations. There exist threshold values for $m^2$ related to the compactification of the extra dimension for fermonic perturbation, 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 non-trivial stability behavior qualitatively agrees with that predicted by a thermodynamical argument, showing that the BTZ black string phase is not the privileged stable phase.

9 pages, revised version to appear in Phys. Rev. D

References in corpus (23)

• The Black Hole in Three Dimensional Space Time
• Quasi-Normal Modes of Stars and Black Holes
• Black Strings and p-Branes are Unstable
• Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
• Scalar, electromagnetic and Weyl perturbations of BTZ black holes: quasi normal modes
• The Instability of Charged Black Strings and p-Branes
• The evolution of unstable black holes in anti-de Sitter space
• Choptuik Scaling and Quasinormal Modes in the AdS/CFT Correspondence
• Classical and Thermodynamic Stability of Black Branes
• Exact Description of Black Holes on Branes II: Comparison with BTZ Black Holes and Black Strings
• Quasinormal modes of Reissner-Nordstr$\ddot{o}$m Anti-de Sitter Black Holes
• Instabilities of Black Strings and Branes
• Black string instabilities in anti-de Sitter space
• Quasinormal behavior of massless scalar field perturbation in Reissner-Nordstrom anti-de Sitter spacetimes
• Stable Black Strings in Anti-de Sitter Space
• Stability and the negative mode for Schwarzschild in a finite cavity
• Support of dS/CFT correspondence from space-time perturbations
• Support of dS/CFT correspondence from perturbations of three dimensional spacetime
• Quasinormal modes in the background of charged Kaluza-Klein black hole with squashed horizons
• Counter-examples to the correlated stability conjecture
• Instabilities of Near-Extremal Smeared Branes and the Correlated Stability Conjecture
• Gyrating Strings: A new instability of black strings?
• Instabilities of D-brane Bound States and Their Related Theories

Cited by in corpus (17)

• Thermodynamic stability of charged BTZ black holes: Ensemble dependency problem and its solution
• Rotating Black String with Nonlinear Source
• Looking at the Gregory-Laflamme instability through quasi-normal modes
• Classical stability of BTZ black hole in new massive gravity
• Quasinormal modes and stability of a five-dimensional dilatonic black hole
• Charged Dirac perturbations on Reissner-Nordström-Anti-de Sitter spacetimes: quasinormal modes with Robin boundary conditions
• Gregory-Laflamme instability of BTZ black hole in new massive gravity
• Semiclassical Einstein equations from holography and boundary dynamics
• Quasinormal ringing on the brane
• Stability of the warped black string with nontrivial topology in five-dimensional Anti-de Sitter spacetime
• Quasinormal Modes in Generalized Nariai Spacetimes
• Stability of the massive graviton around a BTZ black hole in three dimensions
• On the Time Times Temperature Bound
• The Dirac equation in D-dimensional spherically symmetric spacetimes
• Gravitational Instabilities of Uniform Black Strings in AdS
• The Thermodynamic Properties of Warped Taub-NUT AdS Black String
• Configuration entropy and instability of accelerating black hole in AdS