Thermodynamic and optical behaviors of quintessential Hayward-AdS black holes

Abstract

Motivated by Dark Energy (DE) activities, we study certain physical behaviors of the quintessential Hayward-AdS black holes in four dimensions. We generalize some physical properties of the ordinary Hayward-AdS black holes without the dark sector. We elaborate a study in terms of the new quantities [Formula: see text] and [Formula: see text] parametrizing the dark sector moduli space. We investigate the effect of such parameters on certain thermodynamic and optical aspects. To show the quintessential thermodynamic behaviors, we first reconsider the critical properties of the ordinary solutions. We find that the equation of state predicts a universal ratio given by [Formula: see text], which is different than the universal one appearing for Van der Waals fluids. Considering the quintessential solutions and taking certain values of the DE state parameter [Formula: see text], we observe that the new ratio depends on the DE scalar field intensity [Formula: see text]. In certain regions of the moduli space, we show that this ratio can be factorized using two terms describing the absence and the presence of the dark sector. Then, we analyze also the DE effect on the heat engines. For the optical aspect, we study the influence of DE on the shadows using one-dimensional real curves. Finally, we discuss the associated energy emission rate, using the dark sector.