Celestial spheres, light cones, and cuts.

Details Celestial spheres, light cones, and cuts. Celestial spheres, light cones, and cuts.

Jan 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993jmp....34..315l&link_type=abstract

Journal of Mathematical Physics, Vol. 34, No. 1, p. 315 - 319

Mathematics

Mathematical Physics

4

Scientific paper

The embedding of celestial spheres in N, the space of null geodesics of a strongly causal space-time, M is studied, with particular attention to the contact form on N. The algebraic topology of the embedding is also considered. Light cone cuts with (partial) Cauchy surfaces are examined, by regarding N (or appropriate submanifolds of it) as a bundle over S and projecting down. Finally, a means of reconstructing the original space-time (up to a conformal factor in the metric) from the cuts of light cones with a Cauchy surface is given.

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