Emparan Roberto, Reall Harvey S
Theory Division, CERN, CH-1211 Geneva 23, Switzerland.
Phys Rev Lett. 2002 Mar 11;88(10):101101. doi: 10.1103/PhysRevLett.88.101101. Epub 2002 Feb 21.
The vacuum Einstein equations in five dimensions are shown to admit a solution describing a stationary asymptotically flat spacetime regular on and outside an event horizon of topology S1xS2. It describes a rotating "black ring." This is the first example of a stationary asymptotically flat vacuum solution with an event horizon of nonspherical topology. The existence of this solution implies that the uniqueness theorems valid in four dimensions do not have simple five-dimensional generalizations. It is suggested that increasing the spin of a spherical black hole beyond a critical value results in a transition to a black ring, which can have an arbitrarily large angular momentum for a given mass.
五维真空爱因斯坦方程被证明存在一个解,该解描述了一个静态渐近平直时空,在拓扑结构为S1xS2的事件视界及其外部是正则的。它描述了一个旋转的“黑环”。这是具有非球形拓扑事件视界的静态渐近平直真空解的首个例子。该解的存在意味着在四维中有效的唯一性定理没有简单的五维推广。有人提出,将球形黑洞的自旋增加到超过一个临界值会导致向黑环的转变,对于给定质量,黑环可以具有任意大的角动量。