Abstract
Local spherically symmetric inhomogeneities are matched to a spatially flat Robertson-Walker background with pressure. In the cases in which the background evolves to an Einstein–de Sitter dust universe, the interior metrics tend with time either to the vacuum Schwarzschild solution or to the spatially flat Tolman dust metrics. The whole construction may be interpreted as the history of the dust-filled ‘‘Swiss cheese’’ models.
- Received 13 May 1987
DOI:https://doi.org/10.1103/PhysRevD.36.2915
©1987 American Physical Society