On Black Hole Stability in Critical Gravities

Details On Black Hole Stability in Critical Gravities On Black Hole Stability in Critical Gravities

2011-04-13

arxiv.org/abs/1104.2623v2

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, minor corrections, further comments and references added

Scientific paper

We consider extended cosmological gravities with Ricci tensor and scalar squared terms in diverse dimensions. These theories admit solutions of Einstein metrics, including the Schwarzschild-Tangherlini AdS black holes, whose mass and entropy vanish at the critical point. We perform linearized analysis around the black holes and show that in general the spectrum consists of the usual spin-2 massless and ghost massive modes. We demonstrate that there is no exponentially-growing tachyon mode in the black holes. At the critical point, the massless spin-2 modes have zero energy whilst the massive spin-2 modes are replaced by the log modes. There always exist certain linear combination of massless and log modes that has negative energy. Thus the stability of the black holes requires that the log modes to be truncated out by the boundary condition.

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