In the present study, we mainly discuss the features of polytropic anti-de Sitter (PAdS) black hole solution, which can be taken into account also as a stable configuration for dark energy stars. A dark energy star is a hypothetical compact astrophysical object and it has gained astrophysical relevance in literature for several reasons, for instance, it may be another interpretation for observations of astronomical black hole candidates. The idea basically points out that falling matter is transformed into dark energy (or vacuum energy), as the matter falls through the event horizon. In the first step of our investigation, assuming thermodynamical parameters of the asymptotically AdS black hole are identical to those introduced for the generalized polytropic gas, we obtain an exact solution for the metric function describing interior domain of the PAdS black hole. Then, we investigate the physical features of intermediate (shell) region. Subsequently, we describe physical properties like energy conditions and hydrostatic equilibrium via mathematical calculations as well as graphical analyses. In the final step, because black holes can be naturally regarded as a thermal device, we focus on a heat engine process for the PAdS black hole and obtain an analytical expression for the efficiency in terms of entropy and temperature.

在本研究中，我们主要讨论多方反德西特 (PAdS) 黑洞解的特征，它也可以作为暗能量星的稳定配置考虑在内。暗能量星是一种假设的致密天体物理天体，由于多种原因，它在文学中获得了天体物理相关性，例如，它可能是对天文黑洞候选者观测的另一种解释。这个想法基本上指出，当物质落入事件视界时，落下的物质会转化为暗能量（或真空能量）。在我们研究的第一步中，假设渐近 AdS 黑洞的热力学参数与为广义多方气体引入的参数相同，我们获得了描述 PAdS 黑洞内部域的度量函数的精确解。然后，我们研究中间（壳）区域的物理特征。随后，我们通过数学计算和图形分析来描述能量条件和流体静力平衡等物理特性。在最后一步，由于黑洞可以自然地被视为热装置，我们重点研究 PAdS 黑洞的热机过程，并从熵和温度方面获得效率的解析表达式。