Locally Discretely Isotropic Space-Times

Details Locally Discretely Isotropic Space-Times Locally Discretely Isotropic Space-Times

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet.1976m&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

Ellis and MacCallum have found discrete symmetries in Bianchi metrics which leave invariant the null-geodesies equation2. The symmetries are in principle observable and can be used to constrain cosmological models. Following this discovery, it was shown by Schmidt5 that, given a perfect fluid space-time (ST), if the Riemann tensor and its first three derivatives are invariant under the discrete group that arises in class A Bianchi metrics then, the space-time is homogeneous. Here we give a short report (with longer version in3) on how a generalization of Schmidt's result can be obtained by excluding the assumption of a perfect fluid and by lowering the number of derivatives of Rabcd imposed to be invariant under the discrete group. We adopt the 1 + 3 formalism but we do not assume the dynamics of general relativity. Our arguments will be purely geometric...

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