Note on cosmic censorship

Details Note on cosmic censorship Note on cosmic censorship

May 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17..499t&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 17, May 1985, p. 499-507.

Astronomy and Astrophysics

Astronomy

5

Cosmology, Relativity, Singularity (Mathematics), Space-Time Functions, Black Holes (Astronomy), Curvature, Geodesic Lines, Schwarzschild Metric, Theorems

Scientific paper

A number of recent theorems by Krolak (1983) and Newman (1983) purport to prove cosmic censorship by showing that strong-curvature singularities must be hidden behind horizons. It is shown that the 'null strong-curvature' condition which Newman imposes on certain classes of null geodesics to restrict curvature growth in the space-time does not hold in many physically realistic space-times: it is not satisfied by any null geodesic in the relevant class in any open Friedmann cosmological model, nor does it hold for any null geodesic in the relevant class in maximal Schwarzschild space. More generally it is argued that the singularity predicted by the Penrose singularity theorem is unlikely to be of the type eliminated by Newman. Thus the Newman theorems are probably without physical significance. The Krolak theorems, although based on a physically significant definition of strong curvature singularity, are mathematically invalid, and this approach cannot be used to obtain a cosmic-censorship theorem.

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