论文标题
Schwarzschild Spacetime的静态球形对称爱因斯坦-Vlasov分叉
Static spherically symmetric Einstein-Vlasov bifurcations of the Schwarzschild spacetime
论文作者
论文摘要
我们构建了一个由Schwarzschild时空分叉的爱因斯坦 - 维拉索夫系统的静态和球形对称解的单参数家族。构造的解决方案具有对物质的空间支撑的特性，是一个有限的球形对称壳，位于远离黑洞。我们的证明主要是基于对一组捕获的时型测量学的分析，以及在Schwarzschild附近的静态势能的有效势能。这为在黑洞真空漫位附近建造Einstein-Vlasov系统的静态解决方案提供了另一种方法。
We construct a one-parameter family of static and spherically symmetric solutions to the Einstein-Vlasov system bifurcating from the Schwarzschild spacetime. The constructed solutions have the property that the spatial support of the matter is a finite, spherically symmetric shell located away from the black hole. Our proof is mostly based on the analysis of the set of trapped timelike geodesics and of the effective potential energy for static spacetimes close to Schwarzschild. This provides an alternative approach to the construction of static solutions to the Einstein-Vlasov system in a neighbourhood of black hole vacuum spacetimes.
