标题： 研究KARMA（Kerr和相对论物质周围） 显示英文标题

标题： Studying KARMA (Kerr And Relativistic Matter Around)

摘要： 我们构建了平坦和(反)德西特背景下具有非平凡物质的克尔型旋转黑洞的解系。 对所提出的黑洞模型进行的对称性论证和奇点分析固定了解的自由参数，而对流行能量条件的研究使得有可能对外部物质的构型和场内容施加约束。 时空的几何结构以北半球和南半球方向上的特殊类型奇点为特征，导致黑洞产生双极喷流。 作为在物质存在下构造非定态旋转黑洞解的第一步，我们研究了所构造度规的零角动量极限。 使用爱丁顿-芬克尔施泰因坐标使我们能够将所提出的构造推广到Vaidya型黑洞。 最后，利用纽曼-贾尼斯算法，我们找到了Kerr-Vaidya黑洞解的相应推广。 显示英文摘要

摘要： We construct series of solutions for the Kerr-type rotating black hole with non-trivial matter in flat and (A)dS backgrounds. Symmetry arguments and singularity analysis in the proposed black hole models fix the free parameters of the solutions, and the study of popular energy conditions makes it possible to impose constraints on configuration and field content of external matter. The resulted geometry of spacetimes is featured by a special type singularity in the north and south pole directions, inducing the bipolar outflow of particles from black holes. As a step toward the construction of a non-stationary rotating black hole solution in the presence of matter, we explore the zero angular momentum limit of the constructed metrics. The use of the Eddington-Finkelstein coordinates allows us to find a generalization of the proposed construction to the Vaidya-type black hole. Finally, employing the Newman-Janis algorithm, we find the corresponding generalization of the Kerr-Vaidya black hole solution.