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Journal of High Energy Physics

, 2019:186 | Cite as

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

  • Xiaoyi Liu
  • Stijn Van Vooren
  • Hongbao ZhangEmail author
  • Zhen Zhong
Open Access
Regular Article - Theoretical Physics

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.

Keywords

Black Holes Classical Theories of Gravity Spacetime Singularities 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  • Xiaoyi Liu
    • 1
  • Stijn Van Vooren
    • 2
  • Hongbao Zhang
    • 1
    • 2
    Email author
  • Zhen Zhong
    • 1
  1. 1.Department of PhysicsBeijing Normal UniversityBeijingChina
  2. 2.Theoretische NatuurkundeVrije Universiteit Brussel, and The International Solvay InstitutesBrusselsBelgium

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