quintessence 场下 Rastall-大质量引力中带电黑洞的热力学稳定性与几何热力学
Thermodynamic stability and geometric thermodynamics of charged black holes in Rastall-massive gravity under quintessence
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中文总结 AI 辅助
本研究在 quintessence 场下的 Rastall-大质量引力框架中推导带电黑洞解，分析其热力学稳定性，建立光子轨道与相变的关联，并用热力学几何验证了临界行为的一致性。
中文摘要 AI 辅助
本文在渐近平直时空内，结合 Rastall 引力与大质量引力的框架，推导了嵌入 quintessence 场的新型带电黑洞解。我们将与 quintessence 场结构性质相关的积分常数解释为热力学变量，并探究了多个极限情形以阐明模型参数的作用。接着，我们分析了平直时空下带电黑洞的热力学性质与稳定性，其中 quintessence 场的状态参数为 ω_q = -2/3。我们详细研究了各参数如何影响小黑洞与大黑洞之间的相变，特别建立了 impact parameter 与不稳定圆光子轨道和热力学相变之间的关联，分析表明光子球可观测量可显著提供黑洞热力学临界相变的间接观测信号。总体而言，得益于 quintessence 参数的有效贡献，我们发现整体热力学行为基本类似带电 RN-AdS 黑洞，具有与范德瓦尔斯流体相似的热学特征。最后，我们使用 Quevedo 度量通过热力学几何验证了上述结果，表明标准热力学导出的临界行为与几何热力学描述完全一致，其相结构与发散点与热容、吉布斯自由能分析所得结果完全吻合。
英文摘要
In the present paper, we derive a new charged black hole solution embedded in a quintessence field within a framework combining the Rastall and massive gravity in an asymptotically flat spacetime. We interpret the integration constant associated with the structural properties of the quintessence field as a thermodynamical variable. In this context, several limiting cases have been explored with the aim to shed light on the role of the model parameters. Then, we analyse the thermodynamic properties and stability of the charged black holes in flat spacetime, where the quintessence field is characterized by the state parameter \( ω_q = -2/3 \). Detailed studies are perfomed to see how the various parameters affect phase transitions between small and large black holes. In particular, we establish a connection between the impact parameter and unstable circular photon orbits with the thermodynamic phase transitions. Our analysis suggest that the photon sphere observables could remarkably provide an indirect observational signature of black hole thermodynamic critical transitions. Generally, thanks to the effective contribution of the quintessence parameter, we found that the overall thermodynamic behavior basically resembles that of the charged RN--AdS black hole with thermal features analogous to of a Van der Waals fluid ones. Finally, we have checked these findings using thermodynamic geometry with the Quevedo metric. Our results showed that the critical behaviour derived from the standard thermodynamics is fully consistent with geothermodynamics description, where the phase structure and divergence points exactly coincide with those identified from heat capacity and Gibbs free energy analyses.
