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

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Abstract

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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Authors and Affiliations

  1. Laboratorio de Fìsica Teòrica, Departamento de Fìsica, Facultad de Ciencias, Universidad de Los Andes, Mérida, 5101, Venezuela

    G. Contreras

  2. Centro de Astrofìsica Teòrica, Departamento de Fìsica, Facultad de Ciencias, Universidad de Los Andes, Mérida, 5101, Venezuela

    L. A. Nùñez

  3. Centro Nacional de Càlculo Cientìfico, Universidad de Los Andes (CeCalCULA), Corporaciòn Parque Tecnològico de Mérida, Mérida, 5101, Venezuela

    L. A. Nùñez

  4. Centro de Astrofìsica Teòrica, Departamento de Fìsica, Facultad de Ciencias, Universidad de Los Andes, Mérida, 5101, Venezuela

    U. Percoco

Authors
  1. G. Contreras
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  2. L. A. Nùñez
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  3. U. Percoco
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Contreras, G., Nùñez, L.A. & Percoco, U. Ricci Collineations for Non-degenerate, Diagonal and Spherically Symmetric Ricci Tensors. General Relativity and Gravitation 32, 285–294 (2000). https://doi.org/10.1023/A:1001983426767

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  • DOI: https://doi.org/10.1023/A:1001983426767

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