https://doi.org/10.1140/epjc/s10052-011-1777-0
Regular Article - Theoretical Physics
Stability analysis of f(R)-AdS black holes
1
Center for Quantum Space-time, Sogang University, Seoul, 121-742, Korea
2
Institute of Basic Sciences and School of Computer Aided Science, Inje University, Gimhae, 621-749, Korea
* e-mail: ysmyung@inje.ac.kr
Received:
27
May
2011
Revised:
11
August
2011
Published online:
18
October
2011
We study the stability of the f(R)-AdS (Schwarzschild–AdS) black hole obtained from f(R) gravity. In order to resolve the difficulty of solving fourth-order linearized equations, we transform f(R) gravity into scalar–tensor theory by introducing two auxiliary scalars. In this case, the linearized curvature scalar becomes a dynamical scalaron, showing that all linearized equations are second order. Using the positivity of gravitational potentials and S-deformed technique allows us to guarantee the stability of f(R)-AdS black hole if the scalaron mass squared satisfies the Breitenlohner–Freedman bound. This is confirmed by computing quasinormal frequencies of the scalaron for the f(R)-AdS black hole.
© Springer-Verlag / Società Italiana di Fisica, 2011
