Thermodynamics and weak cosmic censorship conjecture in the charged RN-AdS black hole surrounded by quintessence under the scalar field

Abstract

In this paper, we study the thermodynamics and the weak cosmic censorship conjecture of the RN-AdS black hole surrounded by the quintessence under the scattering of a charged complex scalar field. With scalar field scattering, the variation of the black hole is calculated in the extended and normal phase spaces. In the extended phase space, the cosmological constant and the normalization parameter are considered as thermodynamic variables, and the first law of thermodynamics is valid, but the second law of thermodynamics is not valid. In the normal phase space, the cosmological constant and the normalization parameter are fixed, and the first and second laws of thermodynamics can also be satisfied. Furthermore, the weak cosmic censorship conjecture is both valid in the extended and normal phase spaces.

No evidence for violation of the second law in extended black hole thermodynamics

“…It then follows that the second law could be violated. This is the argument in [10], which was then repeated in many subsequent follow-up works [11][12][13][14][15][16][17][18][19][20]. Our point of view is that this violation of the second law is not physical, and should be taken as a reductio ad absurdum of the assumption that the infalling particle changes the internal energy by E = dU .…”

“…Since the horizon area is interpreted as the entropy in black hole thermodynamics, this would mean that the second law has been violated. This result has received much attention lately and has been calculated to occur in a wide variety of black holes, going beyond general relativity and/or with various matter sources [11][12][13][14][15][16][17][18][19][20]. Notably, the case without electrical charge but with rotation, i.e.…”

Cosmic censorship, massless fermionic test fields, and absorption probabilities

“…Following Wald various thought experiments were constructed to test the validity of cosmic censorship. These thought experiments involve perturbations of the black holes with both test particles , and fields [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]. There were also attempts to incorporate quantum effects [44][45][46][47][48][49][50], and test the validity of cosmic censorship for asymptotically anti-de Sitter cases [51][52][53][54][55][56][57][58].…”

Weak cosmic censorship conjecture in BTZ black holes with scalar fields *

“…When initial data are non-generic, naked singularities can be developed [21,22,23,24,25,26,27]. Other tests of the WCCC are referred to [28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54] and the references in them.…”