Thermodynamics and weak cosmic censorship conjecture of an AdS black hole with a monopole in the extended phase space

Abstract

The first law of black hole thermodynamics in the extended phase space is prevailing recently. However, the second law as well as the weak cosmic censorship conjecture has not been investigated extensively. In this paper, we investigate the laws of thermodynamics and the weak cosmic censorship conjecture of an AdS black hole with a global monopole in the extended phase space under a charged particle absorption. It is shown that the first law of thermodynamics is valid, while the second law is violated for the extremal and near-extremal black holes. Moreover, we find the weak cosmic censorship conjecture is valid only for the extremal black hole, but is violable for the near-extremal black hole. It is different from the previous results where the high order corrections were neglected.

8 pages, accepted by Chinese Physcis C

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• Thermodynamics with pressure and volume of 4D Gauss-Bonnet AdS Black Holes under the scalar field
• The Weak Cosmic Censorship Conjecture in Hairy Kerr Black Holes
• Testing thermodynamic laws and weak cosmic censorship conjecture of conformal anomaly corrected AdS black hole
• Thermodynamics with pressure and volume of black holes based on two assumptions under scalar field scattering
• Stability of horizon with pressure and volume of d-dimensional charged AdS black holes with cloud of strings and quintessence
• Thermodynamics and overcharging problem in the extended phase spaces of charged AdS black holes with cloud of strings and quintessence under charged particle absorption