给正则黑洞充电

中文摘要 AI 辅助

我们提出了一种带电正则黑洞的一般构造，作为球对称下爱因斯坦 - 麦克斯韦场方程推广的解，其中爱因斯坦张量变形为一个恒守恒张量，包含引力场的二阶导数。这种构造的一般性使我们能够定义带电时一般正则黑洞满足的场方程。评估了保证带电解正则性的条件，发现其比不带电解的正则性条件更严格。这尤其意味着巴丁和海沃德黑洞的带电版本会变得奇异。提出了带电时仍保持正则的巴丁和海沃德度规的改进版本。我们的结果表明，一般来说，使广义相对论的真空解正则化不足以在其他物理感兴趣的情况下产生正则解。还讨论了对考虑旋转和物质场等方面的现实正则黑洞构造的影响。

英文摘要

We present a general construction of charged regular black holes as solutions of a generalization of the Einstein--Maxwell field equations in spherical symmetry in which the Einstein tensor is deformed into an identically conserved tensor containing up to second derivatives of the gravitational field. The generality of the construction allows us to define the field equations satisfied by generic regular black holes when becoming charged. The conditions that guarantee regularity of charged solutions are evaluated and shown to be more stringent than the regularity conditions for uncharged solutions. This implies, in particular, that the charged versions of the Bardeen and Hayward black holes become singular. Improved versions of the Bardeen and Hayward metrics that remain regular when charged are proposed. Our results indicate that regularizing the vacuum solutions of general relativity is, in general, not enough to yield regular solutions in other situations of physical interest. The implications that follow for the construction of realistic regular black holes, in which aspects such as rotation and the presence of matter fields are taken into account, are discussed.

发表机构

• Instituto de Astrofísica de Andalucía (IAA-CSIC)（安达卢西亚天体物理研究所）
• King’s College London（伦敦国王学院）
• Southern Denmark Univ.（南丹麦大学）

机构由 AI 辅助整理，请以论文原文为准。