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arxiv: 1211.4941 · v2 · pith:U2EAS4EZnew · submitted 2012-11-21 · 🌀 gr-qc · math-ph· math.MP

Conformastatic disk-haloes in Einstein-Maxwell gravity

classification 🌀 gr-qc math-phmath.MP
keywords conformastaticeinstein-maxwellelectromagneticmodelobtainedparticularapproachasymptotically
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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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