报告题目：From Kasner Singularities to a First Law of Black-Hole Interior Dynamic

报告人：熊泽轩 博士研究生（天津大学）

报告时间：2026 年 10 月 15 日（周四）15 : 30-16 : 30

报告地点：北洋园校区 49 教 410 室

报告摘要：

In this work, we study the region between the event horizon and a spacelike Kasner-type singularity, and construct an exact first law for it. Formulated entirely with interior data, without reference to the exterior geometry or the asymptotic charges, the law applies not only to black holes but to any geometry with a horizon-to-Kasner structure. Starting from scalar-hairy black holes, we analyze the geometry inside the horizon. Furthermore, from the near-singularity geometry we extract a complete set of endpoint variables: the Kasner exponents, a dimensionful singularity parameter Ξ, a normalized scalar charge Σ_K, and a Kasner potential M_K selected by the Iyer-Wald covariant phase-space formalism.
Then, evaluating the conserved Hamiltonian variation on the event horizon and the Kasner singularity yields the exact first law: δM_K = 𝒯 δS + Φ_e δQ_e + φ_K δΣ_K. The first law is tested against exact solutions (Schwarzschild, charged Einstein-Maxwell-dilaton, and scalar-hairy black-hole) and two-parameter numerical geometries; the corresponding Smarr relations are also discussed.

报告人简介：

       熊泽轩，天津大学在读博士研究生（2025 年入学），研究方向为黑洞物理与黑洞内部结构。