Strong cosmic censorship for the Dirac field in the higher dimensional Reissner-Nordstrom--de Sitter black hole

Abstract

We investigate the strong cosmic censorship for the Dirac field in the higher dimensional Reissner-Norstrom--de Sitter black hole. To achieve this, we first use the conformal transformation trick to massage the Dirac equation to a pair of coupled equations in a meticulously chosen orthonormal basis and derive the criterion on the quasinormal modes for the violation of the strong cosmic censorship, which turns out to be independent of the spacetime dimension. Then we apply the Crank-Nicolson method to evolve our Dirac equation in the double null coordinates and extract the low-lying quasinormal modes from the evolution data by the Prony method. It is shown for the spacetime dimension $D=4,5,6$ under consideration that although the strong cosmic censorship is violated by the perturbation from the neutral Dirac field in the near-extremal black hole, the strong cosmic censorship can be restored when the charge of the Dirac field is increased beyond a critical value. The closer to the extremal limit the black hole is, the larger the critical charge of the Dirac field is.

version to appear in JHEP

References in corpus (5)

• Quasinormal modes and Strong Cosmic Censorship
• Mining information from binary black hole mergers: a comparison of estimation methods for complex exponentials in noise
• Instability of higher dimensional charged black holes in the de-Sitter world
• Strong Cosmic Censorship in higher-dimensional Reissner-Nordström-de Sitter spacetime
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• Strong Cosmic Censorship in Einstein-Maxwell-Scalar-Gauss-Bonnet Theory
• Strong cosmic censorship conjecture for a charged BTZ black hole
• Quasinormal modes of Plebański-Demiański black hole in the near-Nariai regime
• Overdamped quasibound states inside a Schwarzschild black hole
• Numerical computation of electromagnetically sourced nonlinear tails
• Linear stability of charged warm holes