Projective differential geometry and geodesic conservation laws in general relativity. I: Projective actions.

Details Projective differential geometry and geodesic conservation laws in general relativity. I: Projective actions. Projective differential geometry and geodesic conservation laws in general relativity. I: Projective actions.

Oct 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16..921p&link_type=abstract

General Relativity and Gravitation, Volume 16, Issue 10, pp.921-942

Physics

16

General Relativity

Scientific paper

The Lagrangian structure of the geodesic equation allows an extension of classical projective geometry to one-parameter projective group actions onR×TM (whereM is the spacetime). We determine all those projective actions which arise by prolongation of oneparameter group actions onR×M. The relation between projective actions onR×TM and the equation of geodesic deviation is developed.

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