标题： 均匀磁场中的克尔黑洞：一个精确解 显示英文标题

标题： Kerr black hole in a uniform magnetic field: An exact solution

摘要： 一个在爱因斯坦引力中的新精确时空类被提出，这些时空是处于外部磁场（或电场）中的Kerr黑洞，该磁场在远处是均匀的，并沿着旋转轴方向。 这些是轴对称稳态的爱因斯坦-麦克斯韦方程解，其中法拉第张量的零方向既不与代数类型D的威耳逊张量的两个主零方向对齐（不同于Kerr-Melvin时空）。 三个物理参数分别是黑洞质量$m$、其旋转$a$和外部场值$B$。 当$B$为零时，度规直接简化为标准的Boyer-Lindquist形式的Kerr黑洞，而当$m$为零时，我们得到具有均匀麦克斯韦场的共形平坦的Bertotti-Robinson宇宙。 当$a$为零时，时空包含在Van den Bergh-Carminati解中，该解可以理解为处于磁场中的施瓦茨希尔德黑洞。 我们的非对齐麦克斯韦毛发的黑洞族——可以称为Kerr-Bertotti-Robinson（Kerr-BR）黑洞——可能在从数学相对论到相对论天体物理的各种研究中找到应用。 显示英文摘要

摘要： A new class of exact spacetimes in Einstein's gravity, which are Kerr black holes immersed in an external magnetic (or electric) field that is asymptotically uniform and oriented along the rotational axis, is presented. These are axisymmetric stationary solutions to the Einstein-Maxwell equations such that the null directions of the Faraday tensor are not aligned with neither of the two principal null directions of the Weyl tensor of algebraic type D (unlike the Kerr-Melvin spacetime). Three physical parameters are the black hole mass $m$, its rotation $a$, and the external field value $B$. For vanishing $B$ the metric directly reduces to standard Boyer-Lindquist form of the Kerr black hole, while for zero $m$ we recover conformally flat Bertotti-Robinson universe with a uniform Maxwell field. For zero $a$ the spacetime is contained in the Van den Bergh-Carminati solution which can be understood as the Schwarzschild black hole in a magnetic field. Our family of black holes with non-aligned Maxwell hair - that can be called the Kerr-Bertotti-Robinson (Kerr-BR) black holes - may find application in various studies ranging from mathematical relativity to relativistic astrophysics.