Kerr-AdS black hole behaviors from dark energy

Abstract

We investigate the critical behaviors of four-dimensional Kerr-AdS black holes from quintessential Dark Energy (DE) contributions. Using a moduli space, coordinated by the DE state parameter [Formula: see text] and the quintessence field intensity [Formula: see text], we deal with three different [Formula: see text]-models. By elaborating analytical formulas of relevant thermodynamical quantities denoted by [Formula: see text], we find significant similarities and distinctions. Precisely, for the [Formula: see text]-model, we show that DE contributions stabilize such black holes. For the [Formula: see text]-model, however, we get a reversed DE effect. In the [Formula: see text]-model, Kerr-AdS black holes reveal a resistance regarding the usual DE effects. Exploiting the explicit formulas of such thermodynamical quantities, we give certain physical interpretations for thermal behaviors. Although such relevant distinctions, we show that the [Formula: see text]-models involve similar universal ratios associated with certain critical thermodynamical quantities. Then, we analyze the photon orbits in the presence of DE.