Abstract
We investigate the stability of an (Schwarzschild) black hole obtained from the gravity. It is difficult to carry out the perturbation analysis around the black hole because the linearized Einstein equation is fourth order in gravity. In order to resolve this difficulty, we transform gravity into the scalar-tensor theory by introducing two auxiliary scalars. In this case, the linearized curvature scalar becomes a scalaron, showing that all linearized equations are second order, which are the same equations for the massive Brans-Dicke theory. It turns out that the black hole is stable against the external perturbations if the scalaron does not have a tachyonic mass.
- Received 3 March 2011
DOI:https://doi.org/10.1103/PhysRevD.83.124009
© 2011 American Physical Society