Classical Stability of the BTZ Black Hole in Topologically Massive Gravity
Danny Birmingham, Susan Mokhtari, Ivo Sachs
TL;DR
This paper proves the classical stability of the BTZ black hole in topologically massive gravity by solving perturbation equations exactly and showing no unstable modes exist for all Chern-Simons couplings.
Contribution
It provides an exact solution to linearized perturbations and confirms stability across all coupling values, advancing understanding of black hole stability in modified gravity.
Findings
No unstable modes found for any Chern-Simons coupling
Exact solutions to perturbation equations obtained
BTZ black hole is classically stable in this theory
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.
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