Phase structure of the Born–Infeld–anti-de Sitter black holes probed by non-local observables

Abstract

With the non-local observables such as two point correlation function and holographic entanglement entropy, we probe the phase structure of the Born-Infeld-anti-de Sitter black holes. For the case bQ > 0.5, where b is the BornInfeld parameter and Q is the charge of the black hole, the phase structure is found to be similar to that of the Van der Waals phase transition, namely the black hole undergoes a first order phase transition and a second order phase transition before it reaches a stable phase. While for the case bQ < 0.5, a new phase branch emerges besides the Van der Waals phase transition. For the first order phase transition, the equal area law is checked, and for the second order phase transition, the critical exponent of the heat capacity is obtained. All these results are found to be the same as that observed in the entropy-temperature plane.

AdS Black Hole with Phantom Scalar Field

“…It was found that the entanglement entropy can characterize the related phase transition for a charged AdS black hole. Further studies on holographic entanglement entropy and its relation to phase transition have been done for various AdS black holes in [35][36][37][38]. For the AdS phantom black hole presented in this paper, we will further show such a relation which keeps valid even for the case with the Ricci flat horizon black hole.…”

Strong cosmic censorship for a scalar field in a Born-Infeld–de Sitter black hole

“…The BI black hole solution in (A)dS space was first obtained in [45,46]. Since then, various aspects of BI black holes have been extensively investigated, e.g., the thermodynamics and phase structure [47][48][49][50][51][52], the holographic models [53][54][55][56][57][58][59][60]. Specifically, the Weak Cosmic Censorship (WCC) has recently been studied in a BI black hole [61,62], where it was found that there may exist some counterexamples to WCC.…”

Influence of inhomogeneities on holographic mutual information and butterfly effect

“…(4.16), we can see that if the denominator in the integrand vanishes, i.e., 1 + H −2 f r 2 = 0, the shift h diverges. Since H is a conserved quantity, the above equation can be readily transformed to 17) in which, r crit is the critical position that makes the shift h divergent. For instance, in the case of Q = 0.6 and m = 0.6, a physical solution to eq.…”

“…[5,6]. Among these studies, one interesting thing is to adopt the HEE to probe the thermalization process or phase transitions in the strongly coupled systems [7][8][9][10][11][12][13][14][15][16][17].…”