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Conformastatic disk-haloes in Einstein-Maxwell gravity

Published 21 Nov 2012 in gr-qc, math-ph, and math.MP | (1211.4941v2)

Abstract: We present a relativistic model describing a thin disk surrounded by a halo in presence of an electromagnetic field. The model is obtained by solving the Einstein-Maxwell equations on a particular conformastatic spacetime background and by using the distributional approach for the energy-momentum tensor. A class of solutions is obtained in which the gravitational and electromagnetic potentials are completely determined by a harmonic function only. A particular solution is given that is asymptotically flat and singularity-free, and satisfies all the energy conditions.

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