On rotating black holes in equilibrium in general relativity
On rotating black holes in equilibrium in general relativity
复制标题
广义相对论中平衡旋转黑洞
DOI：
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发表时间：
1990
期刊：
影响因子：
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通讯作者：
G. Weinstein
中科院分区：
文献类型：
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作者：
G. Weinstein
研究了爱因斯坦真空方程的渐近平坦轴对称定态解。它们代表处于平衡状态的旋转黑洞。该方程减少了对称轴以外的调和映射问题到双曲平面，与规定的速度爆破轴上的地图，并在无穷大的边界条件。在总角动量为零的情况下，我们证明了解的存在唯一性。
We study asymptotically flat axially symmetric stationary solutions of the Einstein vacuum equations. These represent rotating black holes in equilibrium. The equations reduce outside the axis of symmetry to a harmonic map problem into the hyperbolic plane, with prescribed rates of blow-up for the map on the axis and at infinity as boundary conditions. We prove existence and uniqueness of solutions in the case of zero total angular momentum.