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arxiv: gr-qc/9812068 · v1 · submitted 1998-12-18 · 🌀 gr-qc · astro-ph

Relativistic dust disks and the Wilson-Mathews approach

classification 🌀 gr-qc astro-ph
keywords approachapproximatefullrelativisticwilson-mathewsaccuracyapproximationcomparative
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Treating problems in full general relativity is highly complex and frequently approximate methods are employed to simplify the solution. We present comparative solutions of a infinitesimally thin relativistic, stationary, rigidly rotating disk obtained using the full equations and the approximate approach suggested by Wilson & Mathews. We find that the Wilson-Mathews method has about the same accuracy as the first post-Newtonian approximation.

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