Black hole mechanics in effective field theory

黑洞力学定律是黑洞和热力学之间联系的重要组成部分，在量子引力研究中起着核心作用。这些定律的通常证明对于与物质相耦合的广义相对论是成立的。然而，它是已知的，GR只是一个有效的场理论，受到更高的导数校正。因此，扩展黑洞力学定律以纳入这种修正是很重要的。第一部法律已经做到了这一点。该项目旨在将这一成功扩展到黑洞力学第二定律，即，在具有高阶导数修正的理论中找到满足第二定律的动态黑洞熵的定义。

The laws of black hole mechanics are an important part of the connection between black holes and thermodynamics that plays a central role in quantum gravity research. The usual proofs of these laws hold for general relativity coupled to matter. However it is known that GR is just an effective field theory, subject to higher derivative corrections. Therefore it is important to extend the laws of black hole mechanics to incorporate such corrections. This has been achieved for the first law. This project aims to extend this success to the second law of black hole mechanics, i.e., to find a definition of dynamical black hole entropy satisfying a second law in theories with higher derivative corrections.