1107.3677 (Kengo Maeda et al.)

Inhomogeneous charged black hole solutions in asymptotically anti-de
Sitter spacetime    [PDF]

Kengo Maeda, Takashi Okamura, Jun-ichirou Koga

We investigate static inhomogeneous charged planar black hole solutions of
the Einstein-Maxwell system in an asymptotically anti-de Sitter spacetime.
Within the framework of linear perturbations, the solutions are numerically and
analytically constructed from the Reissner-Nordstr\"{o}m-AdS black hole
solution. The perturbation analysis predicts that the Cauchy horizon always
disappears for any wavelength perturbation, supporting the strong cosmic
censorship conjecture. For extremal black holes, we analytically show that an
observer freely falling into the black hole feels infinite tidal force at the
horizon for any long wavelength perturbation, even though the Kretschmann
scalar curvature invariant remains small.

View original: http://arxiv.org/abs/1107.3677