AI 中文总结
该研究在协变有效哈密顿框架下，通过逆构造推导得带电荷和宇宙学常数的闵氏核正则黑洞解，其正则化参数低于临界值时展现出可修改AdS热力学相结构的相变。
AI 中文摘要
在协变有效哈密顿框架内，我们采用逆构造推导无奇异物质的闵氏核正则黑洞的引力哈密顿约束，随后通过耦合球对称约化的麦克斯韦场并加入宇宙学常数扩展该约束。所得带电反德西特（AdS）和德西特（dS）解具有规范无关性，且当正则化参数为零时退化为雷斯纳-诺德斯特龙-反德西特（RN-AdS）黑洞。电荷与宇宙学常数可保留闵氏核：度规在中心趋近闵氏几何，克雷奇曼标量在中心为零，时空呈现多视界结构。聚焦于AdS背景，我们研究黑洞热力学：当正则化参数低于临界值时，该模型展现出跨热力学量的一致特征相变，表明闵氏核正则化可在保留中心正则性的同时，相对于RN-AdS基准修改AdS热力学相结构。
英文摘要
Within a covariant effective Hamiltonian framework, we employ an inverse construction to derive the gravitational Hamiltonian constraint for a Minkowski-core regular black hole without invoking exotic matter. We then extend the constraint by coupling it to a spherically reduced Maxwell field and including a cosmological constant. The resulting charged anti-de Sitter (AdS) and de Sitter (dS) solution is gauge independent and reduces to the Reissner--Nordström--AdS (RN-AdS) black hole when the regularization parameter vanishes. Electric charge and a cosmological constant preserve the Minkowski core: the metric approaches the Minkowski geometry at the center, the Kretschmann scalar vanishes there, and the spacetime exhibits a multi-horizon structure. Focusing on AdS backgrounds, we investigate the black hole thermodynamics. For a regularization parameter below a critical value, the model exhibits a phase transition with consistent signatures across these thermodynamic quantities, demonstrating that Minkowski-core regularization can preserve center regularity while modifying the AdS thermodynamic phase structure relative to the RN-AdS benchmark.
