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

Abstract

By using the scattering of a scalar field, we discuss the thermodynamics and overcharging problem in a 4D Gauss-Bonnet AdS black hole in both the normal phase space and extended phase space.In the normal phase space, where the cosmological constant and Gauss-Bonnet parameter are fixed, the first law and the second law of thermodynamics are valid. In addiction, the black hole cannot be overcharged and the weak cosmic censorship conjecture is valid. In the extended phase space, where the cosmological constant and Gauss-Bonnet parameter are treated as the thermodynamic variables, the first law is still valid. However, the second law is indefinite. Moreover, after the scattering of the scalar field, the extremal black hole cannot be overcharged and the near-extremal black hole can be overcharged.

Stability of horizon with pressure and volume of d-dimensional charged AdS black holes with cloud of strings and quintessence

“…First, the object of our explore is the behaviour of the function (50), for different values of a in the case of da = 0.9, dα = 0.6, α = 0.01, which are represented by Fig. 3 and Table I, Table II, Table III and Table IV.…”

“…It is important that the time interval for particles crossing the event horizon for the weak cosmic censorship conjecture [46][47][48]. And further developed by others [49][50][51][52][53][54][55][56][57][58][59][60][61][62] In addition, various investigations have been conducted on the conjecture for not only black holes of Einstein's theory of gravity, but also anti-de Sitter (AdS), lower-dimensional, and higher-dimensional black holes [63][64][65][66][67][68][69][70][71]. From the research results, this conjecture and the laws of thermodynamics have great relevance.…”

Joule-Thomson expansion of Reissner-Nordström-Anti-de Sitter black holes with cloud of strings and quintessence

“…For instance, Johnson creatively introduced the concept of holographic heat engine [64], which provides one way to extract mechanical work from black holes. It was explored that more researches on thermodynamic aspects of black holes, such as compressibility [65,66], critical phenomenon [67][68][69], weak cosmic censorship conjecture [70][71][72][73][74][75][76][77], and behaviour of the quasi-normal modes [78].…”

Joule-Thomson expansion of Lower-dimensional black hole

“…Subsequently, many papers have explored various thermodynamic aspects of black holes in extended phase space, such as the phase transition [17,18], the critical phenomenon [19][20][21], compressibility [22,23], heat engine efficiency [24,25], and the weak cosmic censorship conjecture [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43].…”