Iyer-Wald形式主义中广义Kerr-Schild黑洞的准局域哈密顿量
Quasi-local Hamiltonian for generalized Kerr-Schild black holes in the Iyer-Wald formalism
AI总结：
该研究基于Iyer-Wald形式主义提出广义Kerr-Schild黑洞的准局域哈密顿量，可还原Misner-Sharp质量并扩展至旋转几何，还建立了Kerr-AdS热力学的几何准局域形式。
AI中文摘要：
基于Iyer-Wald形式主义的协变相空间方法，我们提出了广义Kerr-Schild（GKS）黑洞的准局域哈密顿量。针对平坦Minkowski背景下的球对称时空计算时，该公式可还原出Misner-Sharp质量。由于此框架仅依赖GKS结构，它为Misner-Sharp质量向旋转几何的扩展提供了简洁途径。我们进一步将分析扩展至渐近反德西特（AdS）黑洞，其中自然出现了减去背景AdS能量的重整化程序。通过运用该技术，我们建立了Kerr-AdS热力学的几何准局域形式。
英文摘要：
Grounded in the covariant phase space approach of the Iyer-Wald formalism, we propose a quasi-local Hamiltonian for generalized Kerr-Schild (GKS) black holes. Evaluated for spherically symmetric spacetimes over a flat Minkowski background, our formulation recovers the Misner-Sharp mass. Because this framework relies solely on the GKS structure, it provides a straightforward extension of the Misner-Sharp mass to rotating geometries. We further extend our analysis to asymptotically anti-de Sitter (AdS) black holes, where a renormalization procedure to subtract the background AdS energy naturally emerges. By employing this technique, we establish a geometric quasi-local formulation of Kerr-AdS thermodynamics.
