Cosmic time functions in certain Robinson-Trautman space-times

Details Cosmic time functions in certain Robinson-Trautman space-times Cosmic time functions in certain Robinson-Trautman space-times

Mar 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980jpha...13..945m&link_type=abstract

Journal of Physics A - Mathematical and General, vol. 13, Mar. 1980, p. 945-952.

Mathematics

1

Cosmology, Relativity, Space-Time Functions, Universe, Gravitational Collapse, Metric Space, Particle Motion, Singularity (Mathematics)

Scientific paper

A class of Robinson-Trautman space-times is investigated with respect to the existence and properties of cosmic time functions and corresponding surfaces of simultaneity, partial Cauchy surfaces (PCS). The existence of a horizon-like hypersurface N generated by null curves is established. It is proved that in any connected PCS, intersecting N and approaching the curvature singularity in a certain way, the singularity appears as a point. Some counterexamples are given when these conditions do not hold, and the relation to the problem of representing particles by means of singularities is briefly discussed.

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