Classical Stability of the BTZ Black Hole in Topologically Massive Gravity

Danny Birmingham, Susan Mokhtari, Ivo Sachs

Published 2010-06-29Version 1

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.