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arxiv: gr-qc/0409108 · v1 · submitted 2004-09-28 · 🌀 gr-qc · astro-ph

Exact Relativistic Static Charged Perfect Fluid Disks

classification 🌀 gr-qc astro-ph
keywords diskschargedfluidperfectstaticchargeconditionconstruct
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Using the well-known ``displace, cut and reflect'' method used to generate disks from given solutions of Einstein field equations, we construct static charged disks made of perfect fluid based on the Reissner-Nordstr\"{o}m solution in isotropic coordinates. We also derive a simple stability condition for charged and non charged perfect fluid disks. As expected, we find that the presence of charge increases the regions of instability of the disks.

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