发表机构
Indian Institute of Engineering Science and Technology, Shibpur（印度理工学院希布尔分校）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在 $f(R,G,T)$ 引力框架下，通过各向异性流体包围的黑洞近似解，研究了其热力学性质，发现正的比热表明黑洞热力学稳定，不会经历热不稳定性。
AI 中文摘要
本文在 $f(R, G, T)$ 引力框架下推导了一个近似的黑洞度规，其中黑洞被各向异性流体作为物质源所包围。这种方法使我们能够研究各向异性压力对黑洞结构的影响。然后，我们考虑了各种类型的物质场，研究了该近似解的热力学性质。我们分析了每种情况下的热力学量，如 Wald 熵、霍金温度和比热。在检查比热后，我们发现这些黑洞在热力学上是稳定的，正的比热值表明其稳定性。这一结果表明，在这些条件下，黑洞不会经历热不稳定性，从而确保了它们的长期存在性。
英文摘要
In this literature, we derive an approximate black hole metric within the \( f(R, G, T) \) gravity framework, where the black hole is surrounded by an anisotropic fluid as the matter source. This approach allows us to study the influence of anisotropic pressures on the black hole structure. We then investigate the thermodynamic properties of the approximate solution, considering various types of matter fields. We analyze the thermodynamic quantities such as Wald's entropy, Hawking temperature, and specific heat for each case. After examining the specific heat, we find that the black holes are thermodynamically stable, with positive specific heat values indicating stability. This result suggests that the black holes under these conditions do not undergo thermal instability, ensuring their long-term viability.
