二阶偏离电真空的动态黑洞的熵
The entropy of dynamical black holes deviating from electrovacuum in second order
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中文总结 AI 辅助
研究爱因斯坦 - 麦克斯韦理论中动态黑洞熵，从静态电真空背景出发微扰构建表观视界并推导其面积至二阶，引入修正正则能量，在特定条件下熵与表观视界面积成正比至二阶且满足第二定律，无零能量条件时需额外假设。
中文摘要 AI 辅助
我们研究爱因斯坦 - 麦克斯韦理论中动态黑洞的熵。从具有分叉Killing视界的静态电真空背景出发，在高斯零坐标中微扰构建表观视界，并将其横截面面积推导至二阶。在协变相空间形式体系内，引入修正的正则能量，它包含外部物质的贡献，并通过平衡定律与熵的二阶变化自然相关。在零能量条件和渐近静态条件下，熵与表观视界面积成正比至二阶且满足第二定律。若无零能量条件，建立此面积定律需要额外假设。
英文摘要
We study the entropy of dynamical black holes in Einstein--Maxwell theory. Starting from a stationary electrovacuum background with a bifurcate Killing horizon, the apparent horizon is constructed perturbatively in Gaussian null coordinates, and the area of its cross section is derived to second order. Within the covariant phase space formalism, we introduce a modified canonical energy that incorporates contributions from external matter and is naturally related to the second-order variation of the entropy through the balance law. Under the null energy condition and the asymptotic stationary condition, the entropy is proportional to the area of the apparent horizon up to second-order and satisfies the second law. Without the null energy condition, establishing this area law requires additional assumptions.
发表机构
- University of Science and Technology of China（中国科学技术大学）
- Peng Huanwu Center for Fundamental Theory（彭桓武理论物理中心）
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