论文标题
与标量和电磁场的任何较高曲率重力的线性化第二定律
The linearized second law for any higher curvature gravity with the scalar and the electromagnetic fields
论文作者
论文摘要
黑洞热力学的第一定律适用于任何差异不变的重力，第一定律的熵是wald熵，高度依赖于重力理论中的非微耦合相互作用。但是，WALD熵是否仍然符合第二法律。给出了在任意高阶曲率重力中遵守线性第二定律的黑洞的熵，可以将其写成带有校正项的Wald熵。这表明WALD熵通常不遵守任何高阶曲率重力的线性第二定律。当重力与物质场的相互作用包括在重力理论中时，在这种情况下，尚未获得遵守线性化第二定律的黑洞的熵。考虑到标量和电磁场的任何高阶曲率重力，从Raychaudhuri方程式中，通常可以获得遵循线性化的第二定律的熵，也可以表示为带有校正项的WALD熵。熵不包括电磁场的贡献，校正项包含重力和标量场之间最小耦合相互作用的贡献。由于满足线性化的第二定律的熵仅取决于先前研究中重力的非最小耦合相互作用，因此这一结果使我们对黑洞的熵的理解促进了与物质领域中任何重力理论中线性化的第二定律的理解。
The first law of black hole thermodynamics is suitable for any diffeomorphism invariant gravity, and the entropy in the first law is the Wald entropy which is highly dependent on the non-minimal coupling interactions in the theory of gravity. However, whether the Wald entropy still satisfies the second law needs to be investigated. The entropy of black holes obeying the linearized second law in arbitrary high-order curvature gravity is given, which can be written as the Wald entropy with correction terms. It indicates that the Wald entropy is not commonly obeying the linearized second law for any high-order curvature gravity. When the interactions of gravity with matter fields are included in the theory of gravity, the entropy of black holes obeying the linearized second law has not been obtained in this case. Considering any high-order curvature gravity with the scalar and the electromagnetic fields, from the Raychaudhuri equation, the entropy obeying the linearized second law is generally obtained, which can be expressed as the Wald entropy with correction terms as well. The entropy does not include the contribution from the electromagnetic fields, and the correction terms contain the contribution from the minimal coupling interaction between gravity and the scalar fields. Since the entropy satisfying the linearized second law depends only on the non-minimal coupling interaction of gravity in previous research, this result upends our understanding of the entropy of black holes obeying the linearized second law in any gravitational theory with matter fields.
