Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-02-24
Mon.Not.Roy.Astron.Soc.355:682-688,2004
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
8 pages, colour figures, v3: minor additions including one reference, accepted by MNRAS
Scientific paper
10.1111/j.1365-2966.2004.08371.x
By means of a highly accurate, multi-domain, pseudo-spectral method, we investigate the solution space of uniformly rotating, homogeneous and axisymmetric relativistic fluid bodies. It turns out that this space can be divided up into classes of solutions. In this paper, we present two new classes including relativistic core-ring and two-ring solutions. Combining our knowledge of the first four classes with post-Newtonian results and the Newtonian portion of the first ten classes, we present the qualitative behaviour of the entire relativistic solution space. The Newtonian disc limit can only be reached by going through infinitely many of the aforementioned classes. Only once this limiting process has been consummated, can one proceed again into the relativistic regime and arrive at the analytically known relativistic disc of dust.
Ansorg Marcus
Fischer Theodore
Kleinwächter Andreas
Meinel Reinhard
Petroff David
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