scholarly journals Strong cosmic censorship for a scalar field in a Born-Infeld–de Sitter black hole

2019 ◽  
Vol 100 (12) ◽  
Author(s):  
Qingyu Gan ◽  
Guangzhou Guo ◽  
Peng Wang ◽  
Houwen Wu
2021 ◽  
Vol 81 (11) ◽  
Author(s):  
Ming Zhang ◽  
Jie Jiang

AbstractIn this work, we first calculate equations of motion for particles in the Kerr-Sen-de Sitter black hole spacetime. Then, in the eikonal regime, we analytically obtain the quasi-normal resonant modes of massless neutral scalar field perturbation and find its imaginary part to be characterized by the surface gravity of a near-extremal Kerr-Sen-de Sitter black hole with the Cauchy horizon approaching the event horizon. We further show that the Penrose strong cosmic censorship conjecture is thus respected in this spacetime with dilaton scalar field and axion pseudoscalar field.


2019 ◽  
Vol 79 (11) ◽  
Author(s):  
Hong Guo ◽  
Hang Liu ◽  
Xiao-Mei Kuang ◽  
Bin Wang

Abstract 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 $$\beta \ge 1$$β≥1 in the near extremal black hole when the scalar field is non-minimally coupled to curvature. $$\beta $$β here is defined as $$\beta \equiv -\frac{\mathrm {Im}\;\omega }{\kappa _{-}}$$β≡-Imωκ- where $$\kappa _{-}$$κ- is the surface gravity of Cauchy horizon and $$\omega $$ω is the frequency of quasinormal modes. The increase of the cosmological constant can allow $$\beta \ge 1$$β≥1 to be satisfied for even smaller value of the coupling parameter. The existence of $$\beta \ge 1$$β≥1 implies that the resulting curvature can continuously cross the Cauchy horizon.


Author(s):  
Bogeun Gwak

Abstract We investigate the strong cosmic censorship conjecture in lukewarm Reissner–Nordström–de Sitter black holes (and Martínez–Troncoso–Zanelli black holes) using the quasinormal resonance of non-minimally coupled massive scalar field. The strong cosmic censorship conjecture is closely related to the stability of the Cauchy horizon governed by the decay rate of the dominant quasinormal mode. Here, dominant modes are obtained in the limits of small and large mass black holes. Then, we connect the modes by using the WKB approximation. In our analysis, the strong cosmic censorship conjecture is valid except in the range of the small-mass limit, in which the dominant mode can be assumed to be that of the de Sitter spacetime. Particularly, the coupling constant and mass of the scalar field determine the decay rate in the small mass range. Therefore, the validity of the strong cosmic censorship conjecture depends on the characteristics of the scalar field.


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