6,802 research outputs found

    Addendum: Symmetries of the energy-momentum tensor

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    In recent papers [1-3], we have discussed matter symmetries of non-static spherically symmetric spacetimes, static plane symmetric spacetimes and cylindrically symmetric static spacetimes. These have been classified for both cases when the energy-momentum tensor is non-degenerate and also when it is degenerate. Here we add up some consequences and the missing references about the Ricci tensor.Comment: 7 pages, no figure, LaTe

    Symmetries of Locally Rotationally Symmetric Models

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    Matter collineations of locally rotationally symmetric spacetimes are considered. These are investigated when the energy-momentum tensor is degenerate. We know that the degenerate case provides infinite dimensional matter collineations in most of the cases. However, an interesting case arises where we obtain proper matter collineations. We also solve the constraint equations for a particular case to obtain some cosmological models.Comment: 12 pages, accepted for publication in Int. J. of Mod. Phys.
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