Quasinormal modes and phase structure of regular AdS Einstein–Gauss–Bonnet black holes

Abstract

In this paper, we present an exact regular black hole solution in Einstein–Gauss–Bonnet coupled with nonlinear matter fields. It is a generalization of a regular Einstein–Gauss–Bonnet black hole in [Formula: see text] [Formula: see text] spacetime. The causal structure of the obtained solution identifies with Boulware–Deser black hole solution, except for the curvature singularity at the center. It incorporates the Boulware–Deser black holes in the absence of deviation parameters. We also study the thermodynamic properties of the solution that satisfies a modified first law of thermodynamics. Furthermore, we discuss the stability of the obtained black hole solution and, in this regard, a double phase transition occurs. Within this context, we find that phase transition exists at the point where the heat capacity diverges and, incidentally, the temperature attains the maximum value. We discuss the fluid nature of the black hole also exhibiting critical points. The quasinormal modes of the black hole solution and their dependencies on Gauss–Bonnet coupling and deviation parameters are also analyzed in terms of null geodesics.

Thermodynamics, phase structure and quasinormal modes for AdS Heyward massive black hole

“…If the QNM is positive the BH is unstable and if negative the BH is stable. To study the QNMs and QNFs of the obtained solution (19) using the scalar field perturbation [93][94][95][96][97]:…”

“…where the + ve (-ve) signature in the (44) corresponding to the ingoing (outgoing) wave at the ∞. We use the second-order WKB approximation to study the QNMs and QNFs of the obtained black hole solution 19 The WKB relation is [93][94][95][96][97][98][99]…”

“…where V 0 is the height of the barrier and V ″ 0 is the second derivative of the potential concerning the tortoise coordinate. We use the WKB formula in large l limit [93][94][95][96][97][98][99] to obtain QNFs. The numerical value of QNM and QNF for different values of graviton mass is depicted in table 4.…”

“…studied the P − v criticality and critical exponent of the BH, which is the same as the van der Walls system [78]. Furthermore, many interesting phenomenon are observed such as superfludity [79], phase transition [80][81][82][83], efficiency of heat engine [84][85][86], Joule Thomson effect [87,88]. Motivated by this work, we obtain the new AdS BH solutions with the NED in the framework of massive gravity.…”

Thermodynamics and optical properties of phantom AdS black holes in massive gravity

“…The significance of this issue is in general to reach the relationship between gravitational waves and shadows of black holes, the two amazing achievements in the new century. The study connecting the real part of the QNMs and the shadow radius has been explored for the static [125,126] and the rotating spacetime [127] and has been also applied to different black holes [128][129][130][131].…”