https://doi.org/10.1140/epjc/s10052-019-7416-x
Regular Article - Theoretical Physics
Strong cosmic censorship in charged de sitter spacetime with scalar field non-minimally coupled to curvature
1
School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China
2
College of Physical Science and Technology, Center for Gravitation and Cosmology, Yangzhou University, Yangzhou, 225009, China
3
School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai, 200240, China
* e-mail: gh710105@gmail.com
Received:
1
August
2019
Accepted:
20
October
2019
Published online:
5
November
2019
We examine the strong cosmic censorship in the Reissner–Nordstrom–de Sitter (RN-dS) black hole by investigating the evolution of a scalar field non-minimally coupled to the curvature. We find that for the stable RN-dS black hole, with the increase of the coupling parameter, the violation of the strong cosmic censorship occurs at a larger critical charge ratio. But such an increase of the critical charge is suppressed by the increase of the cosmological constant. Different from the minimal coupling situation, it is possible to accommodate 
in the near extremal black hole when the scalar field is non-minimally coupled to curvature. 
here is defined as 
where 
is the surface gravity of Cauchy horizon and 
is the frequency of quasinormal modes. The increase of the cosmological constant can allow to be satisfied for even smaller value of the coupling parameter. The existence of implies that the resulting curvature can continuously cross the Cauchy horizon.
© The Author(s), 2019
