Ricci Collineations for Non-Degenerate, Diagonal and Spherically Symmetric Ricci Tensors

Details Ricci Collineations for Non-Degenerate, Diagonal and Spherically Symmetric Ricci Tensors Ricci Collineations for Non-Degenerate, Diagonal and Spherically Symmetric Ricci Tensors

1999-07-23

arxiv.org/abs/gr-qc/9907075v1

Gen.Rel.Grav. 32 (2000) 285-294

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

The expression of the vector field generator of a Ricci Collineation for diagonal, spherically symmetric and non-degenerate Ricci tensors is obtained. The resulting expressions show that the time and radial first derivatives of the components of the Ricci tensor can be used to classify the collineation, leading to 64 families. Some examples illustrate how to obtain the collineation vector.

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