McVittie的遗产：膨胀宇宙中的黑洞
McVittie's Legacy: Black Holes in an Expanding Universe
摘要：
本文证明了爱因斯坦方程的一类解--最初由G. C. McVittie在1933年提出的宇宙学-包括嵌入在Friedman-Robertson-Walker宇宙学中的规则黑洞。如果宇宙学在后期被一个正的宇宙学常数所支配，则度规在黑洞视界内外和远离大爆炸奇点的任何地方都是正则的，并且解在未来和视界附近渐近于Schwarzschild-de Sitter几何。对于没有正宇宙学常数的解，可能的视界是弱零奇点。
英文摘要：
We prove that a class of solutions to Einstein's equations---originally discovered by G. C. McVittie in 1933---includes regular black holes embedded in Friedman-Robertson-Walker cosmologies. If the cosmology is dominated at late times by a positive cosmological constant, the metric is regular everywhere on and outside the black hole horizon and away from the big bang singularity, and the solutions asymptote in the future and near the horizon to the Schwarzschild-de Sitter geometry. For solutions without a positive cosmological constant the would-be horizon is a weak null singularity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
