Cosmic censorship and conformal transformations

Details Cosmic censorship and conformal transformations Cosmic censorship and conformal transformations

Oct 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16..943n&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 16, Oct. 1984, p. 943-953.

Physics

4

Big Bang Cosmology, Cauchy Problem, Conformal Mapping, Naked Singularities, Space-Time Functions, Convergence, Hyperbolic Functions, Null Zones, Reissner-Nordstrom Solution, Theorems

Scientific paper

A new definition of a nakedly singular space-time is proposed. Conformal transformations of general, vacuum space-times are considered for conformal factors which are proper mappings into (0, infinity). A space-time generated in this manner which is null convergent on the future Cauchy development of a partial Cauchy surface is shown to be not nakedly singular relative to that surface in the sense of the chosen definition. If the conformal factor is bounded from above then the untransformed, vacuum space-time is similarly not nakedly singular. A censorship theorem for null convergent, conformally flat space-times is obtained as a corollary to the principal result.

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