Weak cosmic censorship conjecture and thermodynamics in quintessence AdS black hole under charged particle absorption *

Abstract

Considering the cosmological constant as the pressure, we mainly study the laws of thermodynamics and weak cosmic censorship conjecture in the Reissner-Nordström-AdS black hole surrounded by quintessence dark energy under charged particle absorbtion. The first law of thermodynamics is found to be valid as a particle is absorbed by the black hole. The second law however is found to be violated for the extremal and near-extremal black holes since the entropy of these black hole decrease. Moreover, we find that the extremal black hole do not change it configuration in the extended phase space, implying that the weak cosmic censorship conjecture is valid. Remarkably, the near-extremal black hole can be overcharged beyond the extremal condition under charged particle absorption. That is, the cosmic censorship conjecture could be violated for the near-extremal black hole in the extended phase space. To make a comparison, we also discuss the first law, second law as well as the weak cosmic censorship conjecture in the normal phase space, and find that all of them are valid in this case.

Proof of the weak cosmic censorship conjecture for several extremal black holes

“…The metric for the spherically symmetric Reissner-Nordström-AdS black hole surrounded by quintessence dark energy is given by [16]…”

“…where r + , Φ, S and T are the radius, electric potential, entropy and Hawking temperature of the event horizon. For fixed Λ and a, we have the first law of thermodynamics [16,17,18]…”

Phase Structures and Transitions of Quintessence Surrounding RN Black Holes in a Grand Canonical Ensemble

“…Quintessence modes were studied in [55,56], thermodynamics including Hawking radiation, heat engine, phase transition in the holographic framework and so on were investigated in [57][58][59][60][61][62][63][64][65][66]. Especially, the phase transition of the quintessence RN-dS black hole was studied through the effective thermodynamic quantities [67].…”

Thermodynamics with pressure and volume of 4D Gauss-Bonnet AdS Black Holes under the scalar field

“…According to Wald's work, the effectiveness of WCCC has been tested in various spacetime [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. In addition, Semiz first used a complex scalar field to replace particles to test the effectiveness of WCCC, and found that the strong Kerr-Newman black hole cannot be overcharged [21].…”