Purely magnetic locally rotationally symmetric spacetimes

Computer Science

Scientific paper

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Scientific paper

We consider all purely magnetic, locally rotationally symmetric (LRS) spacetimes. It is shown that such spacetimes belong to either LRS class I or III by the Ellis classification. For each class the most general solution is found exhibiting a disposable function and three parameters. A Segré classification of purely magnetic LRS spacetimes is given together with the compatibility requirements of two general energy-momentum tensors. Finally, implicit solutions are obtained, in each class, when the energy-momentum tensor is a perfect fluid.

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