AI 中文总结
该研究在黑洞内部几何中推导了局部动力学第一定律，定义了Kasner势与响应系数并经检验，为无需外部几何即可研究黑洞内部动力学提供了自洽方法。
AI 中文摘要
我们在连接事件视界与类Kasner奇点的宇宙学解所支配的内部几何中，得到了局部动力学第一定律。通过在视界与近奇点几何间计算Iyer-Wald恒等式，我们定义了Kasner势与输运响应系数，并分别用精确解和数值解对该第一定律进行了检验。我们的形式体系提供了一种自洽方法，无需借助外部几何与渐近荷即可研究内部动力学，或为探究内部动力学的相结构提供新途径。
英文摘要
We obtain a local first law of dynamics within the interior geometries that are governed by cosmological solutions connecting the event horizon and the Kasner-like singularity. Evaluating the Iyer-Wald identity between the horizon and near-singularity geometries, we define a Kasner potential and transported response coefficients. We test the first law by both exact and numerical solutions. Our formalism provides a self-consistent approach to study the interior dynamics without having to appeal to the outside geometry and the asymptotic charges. It may provide a new approach to study the phase structures of the interior dynamics.
Comments15 pages, 1 figure (with 4 subfigures)
