Classical Stability of the BTZ Black Hole in Topologically Massive Gravity
arXiv:1006.5524 · doi:10.1103/PhysRevD.82.124059
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.
11 pages
References in corpus (16)
- The Black Hole in Three Dimensional Space Time
- Geometry of the 2+1 Black Hole
- Topological Black Holes in Anti-de Sitter Space
- Chiral Gravity in Three Dimensions
- Three-Dimensional Gravity Revisited
- The Instability of Charged Black Strings and p-Branes
- Stability of Higher-Dimensional Schwarzschild Black Holes
- Instability in cosmological topologically massive gravity at the chiral point
- Gravitational instability in higher dimensions
- Cosmological Topologically Massive Gravitons and Photons
- Asymptotically anti-de Sitter spacetimes in topologically massive gravity
- AdS_3/LCFT_2 - Correlators in Cosmological Topologically Massive Gravity
- Quasi-Normal Modes in Topologically Massive Gravity
- The Curious Case of Null Warped Space
- Stability of Topological Black Holes
- Quasi-Normal Modes for Logarithmic Conformal Field Theory
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- Dilatonic BTZ black holes with power-law field
- Thermodynamic stability of charged BTZ black holes: Ensemble dependency problem and its solution
- Holographic applications of logarithmic conformal field theories
- Classical stability of BTZ black hole in new massive gravity
- Simulation of geodesic trajectory of charged BTZ black holes in massive gravity
- Stability of warped AdS3 black holes in Topologically Massive Gravity under scalar perturbations
- Thermodynamic Stability of Warped AdS3 Black Holes
- Dynamical Black Holes in 2+1 Dimensions
- Thermodynamic Stability of the Stationary Lifshitz Black Hole of New Massive Gravity
- Statistical entropy of a BTZ black hole in topologically massive gravity
- Spin-3 quasinormal modes of BTZ black hole
- Formation of Black Holes in Topologically Massive Gravity
- Topologically Massive Gravity from the Outside In
- Logarithmic quasinormal modes of a spin-3 field around the BTZ black hole
- Stability of the massive graviton around a BTZ black hole in three dimensions