Thermodynamic and Optical Behaviors of Quintessential Hayward-AdS Black Holes

TL;DR

This paper explores how dark energy influences the thermodynamic and optical properties of quintessential Hayward-AdS black holes, revealing new ratios and behaviors that differ from classical black hole models.

Contribution

It generalizes the thermodynamic and optical properties of Hayward-AdS black holes by incorporating dark energy parameters, introducing new ratios and analyzing their effects.

Findings

The universal ratio for ordinary Hayward-AdS black holes is modified by dark energy parameters.

The DE scalar field intensity affects the thermodynamic ratios and optical shadow characteristics.

Dark energy influences the energy emission rate and heat engine efficiency of 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 $c$ and $\omega_q$ 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 ordinary solutions. We find that the equation of state predicts a universal ratio given by $\chi_0=\frac{P_cv_c}{T_c}=\frac{27-3\sqrt{6}}{50}$, 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 $\omega_q$, we observe that the new ratio depends on the DE scalar field intensity $c$. 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.