Gravitational instability of simply rotating AdS black holes in higher dimensions

Abstract

We study the stability of AdS black hole holes rotating in a single two plane for tensor-type gravitational perturbations in $D>6$ space-time dimensions. First, by an analytic method, we show that there exists no unstable mode when the magnitude $a$ of the angular momentum is smaller than $r_h^2/R$ where $r_h$ is the horizon radius, and $R$ is the AdS curvature radius. Then, by numerical calculations of quasinormal modes, using the separability of the relevant perturbation equations, we show that an instability occurs for rapidly rotating black holes with $a>r_h^2/R$, although the growth rate is tiny (of order $10^{-12}$ of the inverse horizon radius). We give numerical evidences indicating that this instability is caused by superradiance.

17 pages

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Cited by in corpus (4)

• Instability of higher dimensional charged black holes in the de-Sitter world
• Stability of Lovelock Black Holes under Tensor Perturbations
• Instabilities of Kerr-AdS_5 x S^5 Spacetime
• Bifurcation of Plasma Balls and Black Holes to Lobed Configurations