Conformal symmetry inheritance with cosmological constant.

Details Conformal symmetry inheritance with cosmological constant. Conformal symmetry inheritance with cosmological constant.

Dec 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992jmp....33.4002t&link_type=abstract

Journal of Mathematical Physics, Vol. 33, No. 12, p. 4002 - 4007

Mathematics

Mathematical Physics

2

Scientific paper

A study is made of space-times satisfying the Einstein field equations with a nonzero cosmological constant and admitting a conformal Killing vector (CKV), ξa, which is such that the Lie derivative of the energy-momentum tensor in the direction of ξa is zero. This condition is necessary, but not sufficient, to ensure that the physical quantities associated with the energy-momentum tensor inherit the CKV symmetry. It is shown that this condition leads to two classes of space-times, each of which may be regarded as generalizations of the de Sitter space-times. The possible physical interpretations of these models are discussed.

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