发表机构
Institute of Fundamental Physics and Quantum Technology, & School of Physical Science and Technology, Ningbo University; School of Physics, & Center for High Energy Physics, Peking University（宁波大学基础物理与量子技术研究所、物理科学与技术学院; 北京大学物理学院、高能物理中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该工作将Kerr-Bertotti-Robinson黑洞热力学推广至一般Kerr-Newman-Bertotti-Robinson族，通过协变表面电荷和正则可积性确定角动量与Christodoulou-Ruffini质量，并验证第一定律与Smarr公式。
AI 中文摘要
在这项工作中，我们将中性和特殊带电的Kerr-Bertotti-Robinson黑洞的热力学分析推广到一般的Kerr-Newman-Bertotti-Robinson族，其中电场参数和外场参数是独立的。利用协变表面电荷和正则可积性方法，我们确定了总角动量和正则质量。角动量由引力与电磁表面电荷的组合解析地得出。然而，与坐标时间平移相关的无穷小电荷在解空间中不可积，因此质量必须与更一般的对称性生成元相关联。对该生成元施加正则可积性条件，并结合零场边界条件下的Kerr-Newman质量，选取了Christodoulou-Ruffini质量并确定了相关的热力学势。第一定律和Smarr公式与通常的Kerr-Newman情形具有相同的形式，并且先前研究的两个Kerr-Bertotti-Robinson情形作为特殊极限被恢复。
英文摘要
In this work, we extend the thermodynamic analyses of the neutral and specially charged Kerr-Bertotti-Robinson black holes to the general Kerr-Newman-Bertotti-Robinson family, in which the electric and external-field parameters are independent. Using covariant surface charges and canonical integrability methods, we determine the total angular momentum and the canonical mass. The angular momentum follows analytically from the combined gravitational and electromagnetic surface charges. However, the infinitesimal charge associated with coordinate time translations is not integrable in solution space, so the mass must be associated with a more general symmetry generator. Imposing the canonical integrability conditions on this generator, together with the Kerr-Newman mass as the zero-field boundary condition, selects the Christodoulou-Ruffini mass and determines the associated thermodynamic potentials. The first law and Smarr formula take the same form as the ones in usual Kerr-Newman case, and the two previously studied Kerr-Bertotti-Robinson cases are recovered as special limits.
Comments20 pages
