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.

Topology of Hayward-AdS black hole thermodynamics

“…In this section, we study the topological classes of the quintessential Hayward-AdS black hole. So with respect to the presence of the quintessence DE field requires that the metric function f(r) of the Hayward-AdS black hole should be modified as follows [57],…”

“…where the above equation is the metric function in the existence of dark energy. with respect to equation (11), one can obtain the exact solution of the Hayward AdS black hole in the presence of the quintessential field [57,58]. The black hole mass M can be obtained by solving the constraint f (r) = 0.…”

Light trajectories and thermal shadows casted by black holes in a cavity

“…Hawking and Page (HP) have provided theoretically an evidence for the existence of transitions in the phase space of the (non-rotating uncharged) Schwarzschild-AdS black hole. A first order phase transition in the charged (non-rotating) Reissner Nordstrom-AdS (RN-AdS) black hole space-time has been studied in different backgrounds including Dark Energy (DE) and Dark Matter (DM) [21,35,36]. The effect of such a dark sector on the optical aspect has been also investigated for different backgrounds.…”

“…The effect of such a dark sector on the optical aspect has been also investigated for different backgrounds. In this way, the shadows and the deflection angle of the light rays by black holes in arbitrary dimensions have been discussed in [13,[21][22][23]. The effect of DE and the space-time dimension on the involved optical quantities has been inspected.…”

“…Since the elaboration of such an image and the associated data by EHT, various works dealing with the geometric properties of the black hole shadows have been proposed by examining the involved sizes and shapes [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. In four dimensions, it has been shown that the non-rotating black hole solutions exhibit a perfect circular geometry where the size can be controlled by parameters such as the charge [8,21,22]. For the rotating black holes, however, the circular configuration is deformed and distorted generating non trivial shapes including D and cardioid ones [23][24][25][26].…”