Heuristic extension of the Schwarzschild metric

Details Heuristic extension of the Schwarzschild metric Heuristic extension of the Schwarzschild metric

Jun 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982amjph..50..508e&link_type=abstract

American Journal of Physics, Volume 50, Issue 6, pp. 508-513 (1982).

Physics

Exact Solutions

Scientific paper

The Schwarzschild solution of Einstein's equations of gravitation has several singularities. It is known that the singularity at r = 2Gm/c2 is only apparent, a result of the coordinates in which the solution was found. Paradoxical results occuring near the singularity show the system of coordinates is incomplete. We introduce a simple, two-dimensional metric with an apparent singularity that makes it incomplete. By a straightforward, heuristic procedure we extend and complete this simple metric. We then use the same procedure to give a heuristic derivation of the Kruskal system of coordinates, which is known to extend the Schwarzschild manifold past its apparent singularity and produce a complete manifold.

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