ADDENDUM: Construction of codimension 1 immersions of spacetime: the exceptional case

Details ADDENDUM: Construction of codimension 1 immersions of spacetime: the exceptional case ADDENDUM: Construction of codimension 1 immersions of spacetime: the exceptional case

Dec 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005cqgra..22.5407e&link_type=abstract

Classical and Quantum Gravity, Volume 22, Issue 24, pp. 5407-5409 (2005).

Computer Science

Scientific paper

The Frobenius theorem was used in Edelen (2003 Class. Quantum Grav. 20 3661) to obtain a general body of results for the immersion of spacetime in flat spaces of higher dimension. This addendum completes those results for the exceptional case of immersions of codimension 1 where the Frobenius theorem need not be applied. Local actions of the Poincaré groups SO(2, 3)triangleleftT(5) or SO(1, 4)triangleleftT(5) are used to obtain immersions of spacetime of codimension 1 that involve six arbitrary functions of the four immersion parameters and an arbitrary constant. Explicit calculations are given for several cases.

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