Self-similar perturbations of a Friedmann universe

Journal Article · Sat Sep 01 04:00:00 EDT 1990 · Astrophysical Journal; (USA)

DOI:https://doi.org/10.1086/169125· OSTI ID:6480954

Carr, B J; Yahil, A ^[1]

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1. Queen Mary College, London (England) New York State Univ., Stony Brook (USA)

The present analysis of spherically symmetric self-similar solutions to the Einstein equations gives attention to those solutions that are asymptotically k = 0 Friedmann at large z values, and possess finite but perturbed density at the origin. Such solutions represent nonlinear density fluctuations which grow at the same rate as the universe's particle horizon. The overdense solutions span only a narrow range of parameters, and resemble static isothermal gas spheres just within the sonic point; the underdense solutions may have arbitrarily low density at the origin while exhibiting a unique relationship between amplitude and scale. Their relevance to large-scale void formation is considered. 36 refs.

• OSTI ID: 6480954
• Journal Information: Astrophysical Journal; (USA), Journal Name: Astrophysical Journal; (USA) Vol. 360; ISSN ASJOA; ISSN 0004-637X
• Country of Publication: United States
• Language: English

Related Subjects

640106* -- Astrophysics & Cosmology-- Cosmology
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COSMOLOGICAL MODELS
COSMOLOGY
DENSITY
DISTRIBUTION
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
GALAXIES
MASS DISTRIBUTION
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
PHYSICAL PROPERTIES
SPATIAL DISTRIBUTION
UNIVERSE
VOIDS