Thermodynamics of 4D-EGB black holes in the quintessential phase space

Abstract

In this paper, we examine the 4D-EGB black holes in the quintessential phase space, where the quintessence dark energy surrounds the 4D-EGB black hole. We study the effect of quintessence dark energy on thermodynamic behavior of 4D-EGB black holes i.e. the phase transition and critical phenomena. For a specific condition, we recover the Van der Waals equation of state as the Gauss–Bonnet coupling plays the role of an effective charge. Furthermore, we study the effect of black hole on dark energy that resides near their event horizon in different process. We find that the quintessence dark energy accretes near the horizon of the black hole and we observe that the dark energy pressure sign changes from negative to positive. This behavior is analogous to the “stretched water” (Altabet et al., 2017) phenomenon in thermodynamics of ordinary materials. We call this process quintessence dark energy/stretched quintessence phase transition.