Conformastationary disk-haloes in Einstein-Maxwell gravity
classification
🌀 gr-qc
keywords
solutionconformastationarydisk-haloeseinstein-maxwellequationslaplaceasymptoticallybehaviour
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An exact solution of the Einstein-Maxwell field equations for a conformastationary metric with magnetized disk-haloes sources is worked out in full. The characterization of the nature of the energy momentum tensor of the source is discussed. All the expressions are presented in terms of a solution of the Laplace's equation. A "generalization" of the Kuzmin solution of the Laplace's equations is used as a particular example. The solution obtained is asymptotically flat in general and turns out to be free of singularities. All the relevant quantities show a reasonable physical behaviour.
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