The regularity of static spherically cylindrically and plane symmetric spacetimes at the origin

Details The regularity of static spherically cylindrically and plane symmetric spacetimes at the origin The regularity of static spherically cylindrically and plane symmetric spacetimes at the origin

Sep 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994gregr..26..917l&link_type=abstract

General Relativity and Gravitation, Volume 26, Issue 9, pp.917-925

Physics

7

Scientific paper

We find the necessary and sufficient conditions for the regularity of all scalar invariants polynomial in the Riemann tensor at the origin of spherically, cylindrically and plane symmetric static spacetimes under the assumption that the metric functions are sufficiently smooth there. These conditions turn out to be simple enough to allow a check for regularity by inspection.

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