Classical stability of the BTZ black hole in topologically massive gravity

2010/06/29 by Danny Birmingham, Susan Mokhtari, Ivo Sachs
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1103/physrevd.82.124059

published as Phys.Rev.D82:124059,2010 · 11 pages

arxiv created 2010/06/29 · openalex publication_date 2010/12/28 · arxiv updated 2011/02/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We demonstrate the classical stability of the BTZ black hole within the context of topologically massive gravity. The linearized perturbation equations can be solved exactly in this case. By choosing standard boundary conditions appropriate to the stability problem, we demonstrate the absence of modes which grow in time, for all values of the Chern-Simons coupling.

Citations

• Black hole in three-dimensional spacetime
• Three-Dimensional Gravity Revisited
• Gravitational instability in higher dimensions
• Chiral gravity in three dimensions
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• Cosmological topologically massive gravitons and photons
• Geometry of the 2+1 Black Hole
• Topologically massive gauge theories