发表机构
Beijing Normal University; University of Chinese Academy of Sciences; Institute of Theoretical Physics, Chinese Academy of Sciences（北京师范大学; 中国科学院大学; 中国科学院理论物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文利用Iyer-Wald形式，将耦合常数提升为动力学标量场并引入辅助规范场，推导扩展黑洞热力学第一定律，证明热力学体积独立于辅助场且与先前结果一致，并在视界上验证了其表达式。
AI 中文摘要
通过将Iyer-Wald形式应用于引力系统的修正拉格朗日形式，其中原始拉格朗日形式中出现的耦合常数（如宇宙学常数）通过引入相应的辅助规范场被提升为动力学标量场，我们推导了扩展黑洞热力学的第一定律，其中作为耦合常数共轭热力学变量的热力学体积独立于辅助规范场，且与之前通过暴力改变耦合常数所获得的结果完全相同。此外，进一步表明这些体积也可以用辅助规范场表示并在黑洞视界上求值，从而验证了先前文献中提出的建议。
英文摘要
By applying the Iyer-Wald formalism to the modified Lagrangian form for the gravitational system, where the coupling constants appearing in the original Lagrangian form, such as the cosmological constant, are promoted to the dynamical scalar fields by introducing the corresponding auxiliary gauge fields, we derive the first law of the extended black hole thermodynamics, where the resulting thermodynamic volumes as the conjugate thermodynamic variables to the coupling constants are nevertheless independent of the auxiliary gauge fields and exactly the same as those obtained before via varying the coupling constants by brute force. In addition, it is further shown that such volumes can also be expressed in terms of the auxiliary gauge fields and evaluated on the black hole horizon, validating the proposal made in the previous literature.
Comments7 pages, version to appear in PLB
