Self-similar gravitational collapse in an expanding universe

Journal Article · Fri Jun 01 04:00:00 EDT 1984 · Astrophys. J.; (United States)

DOI:https://doi.org/10.1086/162070· OSTI ID:6218553

Fillmore, J A; Goldreich, P

We derive similarity solutions which describe the collapse of cold, collisionless matter in a perturbed Einstein-de Sitter universe. We obtain three classes of solutions, one each with planar, cylindrical, and spherical symmetry. Our solutions can be computed to arbitrary accuracy, and they follow the development of structure in both the linear and nonlinear regimes.

• Research Organization: California Institute of Technology
• OSTI ID: 6218553
• Journal Information: Astrophys. J.; (United States), Journal Name: Astrophys. J.; (United States) Vol. 281:1; ISSN ASJOA
• Country of Publication: United States
• Language: English

Related Subjects

640106* -- Astrophysics & Cosmology-- Cosmology
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
COSMOLOGICAL MODELS
COSMOLOGY
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
EXPANSION
FIELD THEORIES
GENERAL RELATIVITY THEORY
GRAVITATIONAL COLLAPSE
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
UNIVERSE