Abstract
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.
Keywords
PhysicsGravitational collapseUniverseGeneral relativityTheoretical physicsCosmologyGravitationEinsteinSymmetry (geometry)Circular symmetryDe Sitter universeAstrophysicsClassical mechanicsGeometry
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Publication Info
- Year
- 1984
- Type
- article
- Volume
- 281
- Pages
- 1-1
- Citations
- 518
- Access
- Closed
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Cite This
J. A. Fillmore,
Peter Goldreich
(1984).
Self-similar gravitational collapse in an expanding universe.
The Astrophysical Journal
, 281
, 1-1.
https://doi.org/10.1086/162070
Identifiers
- DOI
- 10.1086/162070