C Lozanovski and J Carminati 2003 Class. Quantum Grav. 20 215 doi:10.1088/0264-9381/20/1/316
C Lozanovski1 and J Carminati
Show affiliationsWe 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.
04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields
Issue 1 (7 January 2003)
Received 1 July 2002, in final form 12 November 2002
Published 16 December 2002
C Lozanovski and J Carminati 2003 Class. Quantum Grav. 20 215
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