论文标题
黑洞被薄磁盘包围:完全相对论的解决方案
Black hole encircled by a thin disk: fully relativistic solution
论文作者
论文摘要
我们给出一个完整的度量标准,描述了一个静态和轴对称薄盘的重力场,而没有径向压力围绕Schwarzschild黑洞。磁盘密度曲线在天体物理上是现实的,从地平线到径向无穷大,但在这两个位置都迅速掉落。度量函数表示为有限的Legendre多项式。解决方案的主要优点是(i)磁盘没有边缘,因此它们的字段无处不在(在地平线外),并且(ii)所有非平凡的度量函数均分析和封闭形式提供。我们检查并说明黑洞的基本特性 - 磁盘空间时间。
We give a full metric describing the gravitational field of a static and axisymmetric thin disk without radial pressure encircling a Schwarzschild black hole. The disk density profiles are astrophysically realistic, stretching from the horizon to radial infinity, yet falling off quickly at both these locations. The metric functions are expressed as finite series of Legendre polynomials. Main advantages of the solution are that (i) the disks have no edges, so their fields are everywhere regular (outside the horizon), and that (ii) all non-trivial metric functions are provided analytically and in closed forms. We examine and illustrate basic properties of the black-hole -- disk space-times.