Proper conformal symmetries of space-times with divergence-free Weyl conformal tensor.

Details Proper conformal symmetries of space-times with divergence-free Weyl conformal tensor. Proper conformal symmetries of space-times with divergence-free Weyl conformal tensor.

Aug 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993jmp....34.3582s&link_type=abstract

Journal of Mathematical Physics, Vol. 34, No. 8, p. 3582 - 3587

Mathematics

Mathematical Physics

2

Scientific paper

It has been shown that a four-dimensional space-time with divergence-free Weyl conformal curvature tensor and admitting a proper conformal symmetry is locally of type O (conformally flat) or N. The latter case has been studied in terms of null sectional curvature. Finally, a physical characterization of general relativistic perfect fluid space-times with divergence-free Weyl conformal tensor has been presented and moreover it is shown that such fluid space-times admitting a proper conformal symmetry are conformally flat.

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