发表机构
Center for Joint Quantum Studies, Department of Physics, School of Science, Tianjin University（天津大学理学院物理系联合量子研究中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究在弦论启发的爱因斯坦-麦克斯韦-狄拉顿理论中，通过解生成技术构造了均匀磁场下史瓦西黑洞的精确静态解，并推广至多场情形，得到与Toda方程相关的解析电真空解。
AI 中文摘要
我们通过标准解生成技术，在卡鲁扎-克莱因（KK）理论中获得了外部均匀磁场下的克尔黑洞。以此作为出发点，我们在一般弦论启发的爱因斯坦-麦克斯韦-狄拉顿（EMD）理论中构造了描述浸没在外部均匀磁场中的史瓦西黑洞的精确静态解，从而将静态克尔-贝尔托蒂-罗宾逊（KBR）解嵌入到EMD理论的通用框架中。我们还在EMD理论中构造了涉及电场和磁场的电真空解，并将系统推广到包含多个麦克斯韦场和狄拉顿场。这些运动方程可以约化为类Toda方程，使我们能够获得与所有秩为2的李群相关的Toda方程对应的解析电真空解。我们进一步构造了浸没在这些电真空中的史瓦西黑洞的精确解。
英文摘要
We obtain the Kerr black hole in an external uniform magnetic field in the Kaluza-Klein (KK) theory via a standard solution-generating technique. Using this as our starting point, we construct exact static solutions describing a Schwarzschild black hole immersed in the external uniform magnetic field in general string-inspired Einstein-Maxwell-dilaton (EMD) theories, thereby embedding the static Kerr-Bertotti-Robinson (KBR) solution into the general framework of EMD theories. We also construct electrovacuum solutions involving both electric and magnetic fields in EMD theories and generalize the system to include mutltiple Maxwell fields and dilatons. These equations of motion can be reduced to Toda-like equations, allowing us to obtain analytic electrovacua associated with Toda equations of all rank-2 Lie groups. We further construct exact solutions of a Schwarzschild black hole immersed in these electrovacua.
Comments22 pages, no figures
