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Thermodynamics and weak cosmic censorship conjecture in Reissner-Nordstr$\ddot{o}$m anti-de Sitter black holes with scalar field
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abstract
The thermodynamics and weak cosmic censorship conjecture in Reissner-Nordstr$\ddot{o}$m anti-de Sitter black holes are investigated by the scattering of the scalar field. The first law of thermodynamics in the non-extremal Reissner-Nordstr$\ddot{o}$m anti-de Sitter black hole is recovered by the scattering. The increase of the horizon radius indicates that the singularity is not naked in this black hole. For the near-extremal and extremal black holes, the validity is tested by the minimum values of the function $f$ at their final states. It is found that both of the near-extremal and extremal black holes can not be overcharged. When $\omega=q\phi$, the final state of the extremal black hole is still an extremal black hole. When $\omega\neq q\phi$, it becomes a near-extremal black hole with new mass and charge.
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Cited by 1 Pith paper
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Thermodynamics and weak cosmic censorship conjecture with pressure in the rotating BTZ black holes
For charged rotating BTZ black holes, the paper reports that the weak cosmic censorship conjecture holds without pressure but can be violated in the extended phase space with pressure if the AdS radius is allowed to vary.
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