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.

Strong Cosmic Censorship in Einstein-Maxwell-Scalar-Gauss-Bonnet Theory

“…Later, other violations are also found on the RNdS background by the massless charged scalar field, the massless Dirac field, etc. [17][18][19][20]. Moreover, the validity of the SCC for the RNdS black hole considering the non-minimal coupled scalar field perturbation in some modified gravitational theory is also investigated [21].…”

Strong cosmic censorship in near-extremal Kerr-Sen-de Sitter spacetime

“…Although SCC has been inspected extensively for spherically black holes perturbed by scalar, fermion, electromagnetic, and gravitational field perturbations (see, for example, Refs. [20][21][22][23][24][25][25][26][27][28][29][30][31][32][33][34][35][36][37]), the investigations of the rotating cases seem to be limited [38][39][40][41][42]. Moreover, although the SCC of spacetimes in Einstein gravity has been investigated comprehensively, there is much that needs to be done in the modified gravities, being corrections to GR, following previous trials [43,44].…”

Strong cosmic censorship in near-extremal Kerr-Sen-de Sitter spacetime

“…Though the SCC has been inspected extensively for the spherically black holes perturbed by scalar, fermion, electromagnetic, and gravitational field perturbations (see, for example, Refs. [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]), the investigations of the rotating cases seem to be limited [38][39][40][41][42]. Besides, the SCC of spacetimes in Einstein gravity has been investigated comprehensively, there is much needing to be done in the modified gravities, being corrections to GR, following former trials [43,44].…”