McVittie's legacy: Black holes in an expanding universe

Journal Article · Sat May 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.104044· OSTI ID:21409756

Kaloper, Nemanja; Martin, Damien ^[1]; Kleban, Matthew ^[2]

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1. Department of Physics, University of California, Davis, California 95616 (United States)
2. CCPP, Department of Physics, New York University, New York, New York 10003 (United States)

We prove that a class of solutions to Einstein's equations--originally discovered by McVittie in 1933--includes regular black holes embedded in Friedmann-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.

• OSTI ID: 21409756
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTRONOMY AND ASTROPHYSICS
BLACK HOLES
COSMOLOGICAL CONSTANT
COSMOLOGY
DE SITTER GROUP
DE SITTER SPACE
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
LIE GROUPS
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
METRICS
SINGULARITY
SPACE
SYMMETRY GROUPS
UNIVERSE