Mathematics – Logic
Scientific paper
Feb 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994gregr..26..225b&link_type=abstract
General Relativity and Gravitation, Volume 26, Issue 2, pp.225-232
Mathematics
Logic
Scientific paper
It is shown that Lorentzian manifolds giving rise to the radiation connection, i.e. such that the canonical connection induces a unique connection on an isotropic hypersurface, are of type D or conformally flat in Petrov classification, generalizing the Robinson-Bertotti electromagnetic universe with cosmological constant. Under an holonomy hypothesis it is deduced that the underlying space-time manifold is a direct product of two two-dimensional spaces, one of them being space-like, and the other one time-like.
Burdet Guy
Papacostas Taxiarchis
Perrin Marshall
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