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 con- formal 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 indepen- dent 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.
Highlights
An inextendible CH [1,2,3]
We investigate the strong cosmic censorship for the Dirac field in the higher dimensional Reissner-Norstrom-de Sitter black hole
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
Summary
We shall derive an explicit expression of the above Dirac equation in a D-dimensional RN black hole with the mass and charge parameter M and Q in the de Sitter space of radius L ds. By generalizing the conformal transformation [26,27,28] to include the electric charge and electric potential as follows gab. With this in mind, we can consider the equivalent Dirac equation in the following conformally transformed background ds. Where ∇/ 2 is the Dirac operator associated with the two-dimensional spacetime ds. ∇/ Σ is the Dirac operator on (D − 2)-dimensional unit sphere ΣD−2.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
