被 quintessence 包围的 Vaidya-Bonnor 黑洞中的霍金辐射与二阶量子修正热力学及黑洞残余形成
Hawking Radiation and Second-Order Quantum Corrected Thermodynamics with Black Hole Remnant Formation in a Vaidya-Bonnor Black Hole Surrounded by Quintessence
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中文总结 AI 辅助
本研究针对被 quintessence 包围的 Vaidya-Bonnor 黑洞，借助 Hamilton-Jacobi 隧穿形式推导相关物理量，发现 quintessence 与量子修正可提升热力学稳定性并促成稳定黑洞残余形成。
中文摘要 AI 辅助
本研究探讨被 quintessence 包围的 Vaidya-Bonnor 黑洞的霍金辐射与二阶量子修正热力学。在 Hamilton-Jacobi 隧穿形式框架内，将 quintessence 场视为微扰贡献，推导了事件视界、隧穿概率及霍金温度的解析表达式。随后获取并分析了经典热力学量，包括熵、热容、焓、亥姆霍兹自由能与吉布斯自由能。通过对贝肯斯坦-霍金熵进行对数和逆熵修正，引入量子热涨落，得到二阶修正热力学量，并详细研究其对热稳定性及相变的影响。此外，推导了量子修正后的残余半径与残余质量的解析表达式，结果表明 quintessence 与量子修正的共同作用可阻止黑洞完全蒸发，促成稳定残余的形成；两者均能提升热力学稳定性，且显著促进稳定黑洞残余的形成。
英文摘要
In this work, we investigate Hawking radiation and second order quantum corrected thermodynamics of a Vaidya-Bonnor black hole surrounded by quintessence. Within the Hamilton-Jacobi tunneling formalism, analytical expressions for the event horizons, tunneling probability, and Hawking temperature are derived by treating the quintessence field as a perturbative contribution. The classical thermodynamic quantities, including entropy, heat capacity, enthalpy, Helmholtz free energy, and Gibbs free energy, are then obtained and analyzed. Quantum thermal fluctuations are incorporated through logarithmic and inverse-entropy corrections to the Bekenstein-Hawking entropy, leading to second-order corrected thermodynamic quantities. Their effects on thermal stability and phase transitions are examined in detail. Furthermore, analytical expressions for the quantum-corrected remnant radius and remnant mass are derived, showing that the combined effects of quintessence and quantum corrections can prevent complete black hole evaporation and lead to the formation of a stable remnant. Our results show that both quintessence and higher-order quantum corrections enhance thermodynamdymic stability and significantly favor the formation of stable black hole remnants.
