论文标题
黑洞在de Sitter空间
Black hole gluing in de Sitter space
论文作者
论文摘要
我们构建具有良好控制的渐近行为的动力学多黑孔空间，作为Einstein真空方程的解决方案，具有正宇宙常数。我们通过将Schwarzschild-de保姆或Kerr-De Sitter粘合到Blackter Space的未来保形边界的邻域，在黑洞参数的某些平衡条件下，将其实现。鉴于我们在未来的保形边界上遇到的散射数据，我们给出了直接求解爱因斯坦方程的独立处理。构造的主要步骤是用于无微量对称2张量的线性发散方程的解。这与弗里德里希（Friedrich）对爱因斯坦方程的散射问题的分析密切相关。
We construct dynamical many-black-hole spacetimes with well-controlled asymptotic behavior as solutions of the Einstein vacuum equation with positive cosmological constant. We accomplish this by gluing Schwarzschild-de Sitter or Kerr-de Sitter black hole metrics into neighborhoods of points on the future conformal boundary of de Sitter space, under certain balance conditions on the black hole parameters. We give a self-contained treatment of solving the Einstein equation directly for the metric, given the scattering data we encounter at the future conformal boundary. The main step in the construction is the solution of a linear divergence equation for trace-free symmetric 2-tensors; this is closely related to Friedrich's analysis of scattering problems for the Einstein equation on asymptotically simple spacetimes.
