Nonexistence of axially symmetric, stationary solution of Einstein Vacuum Equation with disconnected symmetric event horizon
Nonexistence of axially symmetric, stationary solution of Einstein Vacuum Equation with disconnected symmetric event horizon
复制标题
不存在对称事件视界的爱因斯坦真空方程的轴对称平稳解
DOI：
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发表时间：
1991
期刊：
影响因子：
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通讯作者：
G. Tian
中科院分区：
文献类型：
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作者：
Y. Li;G. Tian
在这篇短文中，我们证明了如果爱因斯坦真空方程的一个轴对称的、渐近平坦的定常解允许一个互换事件视界分量的对合，那么至少两个事件视界之间的力一定是正的。证明是基于这样一个观察，即在这种情况下，力可以表示为带正被积的线积分。
In this short note, we prove that if an axially symmetric, asymptotically flat, stationary solution of the Einstein Vacuum Equation admits an involution interchanging the components of the event horizons, then the force between at least two of the event horizons must be positive. The proof is based on an observation that in this case the force can be expressed as a line integral with positive integrand.