Geometric extension through Schwarzschild R = 0

Details Geometric extension through Schwarzschild R = 0 Geometric extension through Schwarzschild R = 0

Dec 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990mnras.247..651l&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 247, Dec. 15, 1990, p. 651-661.

Statistics

Computation

8

Cosmology, Gravitational Collapse, Klein-Gordon Equation, Schwarzschild Metric, Space-Time Functions, Computational Astrophysics, Minkowski Space, Singularity (Mathematics), Topology

Scientific paper

A very simple conservation theorem pertaining to embeddings of Tolman solutions into flat space has been found which, in nonsingular regions of space-time, follows from Einstein's equations and the equations that define the embedding. If the conservation is extended to cover the singular 'surface' r = 0, it furnishes the requisite physical and geometrical supplement to Einstein's equations at the singularity; by thus bridging the singular region, a unique extension is found beyond the singularity. The passage of an extended particle through the singularity is illustrated by a classical toy model that demonstrates both the expected crushing and the emergence into extended space.

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