Trapped surfaces as boundaries for the constraint equations
Trapped surfaces as boundaries for the constraint equations
复制标题
捕获表面作为约束方程的边界
DOI：
10.1088/0264-9381/22/4/c01
复制
发表时间：
2004
影响因子：
3.5
通讯作者：
S. Dain
中科院分区：
文献类型：
--
作者：
S. Dain
研究了作为内边界的囚禁面对爱因斯坦真空约束方程的影响。捕获面条件可以写成这些方程的非线性边界条件。在适当的假设下，我们证明了该边值问题在外部区域内解的存在唯一性。我们还讨论了这一结果的研究黑洞碰撞的相关性。
Trapped surfaces are studied as inner boundary for the Einstein vacuum constraint equations. The trapped surface condition can be written as a nonlinear boundary condition for these equations. Under appropriate assumptions, we prove the existence and uniqueness of solutions in the exterior region for this boundary value problem. We also discuss the relevance of this result for the study of black-hole collisions.