A metric inside collapsing matter

Details A metric inside collapsing matter A metric inside collapsing matter

Jun 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984fiz....27q..97g&link_type=abstract

Fizika (ISSN 0021-3411), vol. 27, June 1984, p. 97-103. In Russian.

Mathematics

Cosmology, Gravitational Collapse, Matter (Physics), Schwarzschild Metric, Cosmic Dust, Singularity (Mathematics)

Scientific paper

For an exact self-similar solution for the case of a spatially homogeneous dust-like sphere, a metric inside matter is identified and the existence of a map with complex time, whereto matter retreats at the stage of compression and wherefrom it reemerges at the stage of expansion, is demonstrated. The existence of such a map indicates a complex topology and violates the main assumption of topological singularity theorems, i.e., the existence of capture surfaces. The possibility of the transition from compression to expansion without a singularity of the infinite density type is examined.

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