Thermodynamics and weak cosmic censorship conjecture in Reissner-Nordstrom anti-de Sitter black holes with scalar field

The thermodynamics and weak cosmic censorship conjecture in Reissner-Nordstrom anti-de Sitter black holes are investigated by the scattering of the scalar field. The first law of thermodynamics in the nonextremal Reissner-Nordstrom 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 not equal q phi, it becomes a near-extremal black hole with new mass and charge. (C) 2019 The Author(s). Published by Elsevier B.V.