Self-similar spherical voids in an expanding universe

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

DOI:https://doi.org/10.1086/162071· OSTI ID:6218552

Fillmore, J A; Goldreich, P

We derive similarity solutions which describe the evolution of spherically symmetric voids in a perturbed Einstein-de Sitter universe filled with cold, collisionless matter. The character of a solution depends upon the profile of the initial density deficit. Gradual perturbations give rise to holes within which the density rises smoothly to the background value. Steep perturbations result in voids bounded by overdense shells with sharp edges, i.e., collisionless gravitational shocks.

• Research Organization: California Institute of Technology
• OSTI ID: 6218552
• 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
COSMOLOGICAL MODELS
COSMOLOGY
DIFFERENTIAL EQUATIONS
DISTURBANCES
EQUATIONS
EQUATIONS OF MOTION
EXPANSION
FIELD THEORIES
GENERAL RELATIVITY THEORY
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
TEST PARTICLES
UNIVERSE