A systematic investigation of the Petrov G4 types

Details A systematic investigation of the Petrov G4 types A systematic investigation of the Petrov G4 types

May 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977jmp....18..881r&link_type=abstract

Journal of Mathematical Physics, vol. 18, May 1977, p. 881-884.

Physics

1

Cosmology, Lie Groups, Relativity, Space-Time Functions, Field Theory (Physics), Gravitational Fields, Ideal Fluids, Tensors

Scientific paper

In order to investigate exact solutions in general relativistic cosmology, one usually assumes the spacetime possesses symmetry. Here, we study exact solutions for the Petrov four-parameter Lie groups G4, acting on nonnull hypersurfaces where the energy-momentum tensor is that of a pressureless perfect fluid (a so-called 'dust'). We find that the preponderance of solutions are for a spacelike dust and, in several cases, are able to give their explicit forms. Among these are spacelike versions of previously known timelike matter cosmological models.

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