Abstract
New ideas in cosmology that have become popular in recent years include matter production, inflation and bubbles in the early Universe. New solutions in general relativity include Friedmann/Robertson/Walker ones which start in Minkowski space, and spherically-symmetric ones with expanding, singular hypersurfaces which are spherical in ordinary space. The ideas in cosmology and the solutions which describe them are reviewed. In particular, Einstein's equations are given in forms suitable for finding other solutions; and certain recent solutions are quoted in forms suitable for working out astrophysical consequences. It is hoped that the present review will serve as a stimulus to further research in this field.
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