McVittie's Legacy: Black Holes in an Expanding Universe
High Energy Physics - Theory
2010-07-29 v3 Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Abstract
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.
Keywords
Cite
@article{arxiv.1003.4777,
title = {McVittie's Legacy: Black Holes in an Expanding Universe},
author = {Nemanja Kaloper and Matthew Kleban and Damien Martin},
journal= {arXiv preprint arXiv:1003.4777},
year = {2010}
}
Comments
23 pages, plain LaTeX, 2 .pdf figures, v3: the finite ingoing time proof improved and generalized, conclusions unchanged