共形基灵引力中Schwarzschild-AdS黑洞的量子修正热力学
Quantum-corrected thermodynamics of Schwarzschild AdS black holes in conformal Killing gravity
- Yasuj University（亚苏杰大学）
- Damghan University（达姆甘大学）
- Khazar University（哈扎尔大学）
- Eastern Mediterranean University（东地中海大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
该研究在共形基灵引力框架下，结合扩展相空间与孤岛处方，分析Schwarzschild-AdS黑洞的量子修正热力学，验证了普适热力学关系对非微扰量子修正的稳定性。
AI中文摘要：
我们在扩展相空间形式体系下，研究共形基灵引力中带有非微扰熵修正的Schwarzschild-AdS黑洞。通过推导量子修正后的热容、亥姆霍兹自由能、内能和吉布斯自由能，我们表明量子修正主要在小视界半径处改变相变点和热稳定性，而大黑洞则恢复经典行为。仅当共形基灵参数$a$为正值时，才会出现范德瓦尔斯型的临界行为。应用孤岛处方，我们发现霍金辐射的纠缠熵在Page时间后达到饱和，饱和值为$S_{\text{sat}} = 2(\pi r_H^2 + \eta e^{-\pi r_H^2})$，从而恢复幺正性。更强的量子修正会提高熵阈值并延迟信息恢复。此外，我们在AdS曲率半径的极小扰动下，研究了极端极限下的普适热力学关系。我们证明量子修正参数$\eta$会完全抵消，得到稳健的普适组合$U = -r_{\text{ext}}^3 / l^3$，这表明该普适关系对熵的非微扰量子修正具有稳定性。
英文摘要：
We study Schwarzschild--AdS black holes in conformal Killing gravity with non-perturbative entropy corrections within the extended phase-space formalism. By deriving the quantum-corrected heat capacity, Helmholtz free energy, internal energy, and Gibbs free energy, we show that quantum corrections modify phase transition points and thermal stability mainly at small horizon radii, while classical behavior is recovered for large black holes. Critical behavior of van der Waals type appears exclusively for positive values of the conformal Killing parameter $a$. Applying the island prescription, we find that the entanglement entropy of Hawking radiation saturates after the Page time at $S_{\text{sat}} = 2(πr_H^2 + ηe^{-πr_H^2})$, thereby restoring unitarity. Stronger quantum corrections increase the entropy threshold and delay information recovery. Furthermore, we examine the universal thermodynamic relation in the extremal limit under a minimal perturbation of the AdS curvature radius. We prove that the quantum correction parameter $η$ cancels out completely, yielding the robust universal combination $U = -r_{\text{ext}}^3 / l^3$. This demonstrates that the universal relation remains stable against non-perturbative quantum corrections to the entropy.
