Einstein-ModMax理论中的精确多黑洞时空
Exact multiblack hole spacetimes in Einstein-ModMax theory
AI总结：
本研究在Einstein-ModMax理论框架下推导了多带电黑洞的精确解，分析了非极端与极端情形的解特性，利用对偶不变性得到磁荷及双子推广解，还构造了带正宇宙学常数的多黑洞解。
摘要：
本文提出了在最小耦合于爱因斯坦引力的非线性电动力学（NLE）模型中，描述多个带电黑洞（BH）的精确解。该NLE模型为ModMax理论，因其具有与标准（线性）电动力学共有的对偶性和共形不变性而备受关注。在非极端情形下，该解存在锥形奇点，与Einstein-Maxwell理论中的多Reissner-Nordström解类似。在极端情形下，该解在事件视界上及视界外是正则的；它与Majumdar-Papapetrou解等距，不过由于屏蔽效应，单个黑洞的荷质比非幺正。利用ModMax的电磁对偶不变性，还得到了带磁荷的推广解和双子推广解。最后，我们构造了具有正宇宙学常数的多黑洞解。
英文摘要：
Exact solutions describing multiple, electrically charged black holes (BHs) in a model of nonlinear electrodynamics (NLE) minimally coupled to Einstein's gravity are presented. The NLE model is ModMax theory, that has attracted much attention due to its duality and conformal invariance, features shared with standard (linear) electrodynamics. In the nonextremal case, the solution has conical singularities, similarly to the multi Reissner-Nordström solution in Einstein-Maxwell theory. In the extremal case the solution is regular on and outside the event horizon; it is isometric to the Majumdar-Papapetrou solution, although the individual BHs have a nonunitary charge to mass ratio, due to screening effects. Using the ModMax electromagnetic duality invariance, magnetically charged and dyonic generalizations are also obtained. Finally, we construct multi-BH solutions with a positive cosmological constant.
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