Thermodynamics and weak cosmic censorship conjecture in the Kerr-AdS black hole

Abstract

We investigate the laws of thermodynamics and weak cosmic censorship conjecture in the normal and extended phase space of a Kerr-AdS black hole by analyzing the energy-momentum relation of the absorbed fermion dropping into the horizon. In the normal phase space, the first law, second law as well as the weak cosmic censorship conjecture are found to be valid in all the initial states of the black hole. However, in the extended phase space, although the first law and weak cosmic censorship conjecture are still valid, the second law becomes more subtle. We find that the validity or violation of the second law depends on the spin parameter, the radius of the AdS spacetime, and their variations. In addition, in the extended phase space, the configurations of the extremal and near-extremal Kerr-AdS black holes are unchanged as the fermions are absorbed since the final and initial states are the same.

21 pages, 2 figures; References added; Version compatible with NPB

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• Thermal Stability, P-V Criticality and Heat Engine of Charged Rotating Accelerating Black Holes
• The weak cosmic censorship conjecture and thermodynamics in the quintessence AdS black hole under charge particle absorption
• No Violation of the Second Law in Extended Black Hole Thermodynamics
• Cosmic Censorship for AdS${}_5$-Kerr
• Thermodynamics with pressure and volume of 4D Gauss-Bonnet AdS Black Holes under the scalar field
• Revisiting the Second Law and Weak Cosmic Censorship Conjecture in High-Dimensional Charged-AdS Black Hole: an Additional Assumption
• Testing thermodynamic laws and weak cosmic censorship conjecture of conformal anomaly corrected AdS black hole
• Testing the weak cosmic censorship conjecture for extremal magnetized Kerr-Newman black holes
• General mass formulas for charged Kerr-AdS black holes
• Weak cosmic censorship conjecture in BTZ black holes with scalar fields
• Stability of horizon with pressure and volume of d-dimensional charged AdS black holes with cloud of strings and quintessence