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  Equilibrium configurations of homogeneous fluids in general relativity

Ansorg, M., Fischer, T., Kleinwächter, A., Meinel, R., Petroff, D., & Schöbel, K. (2004). Equilibrium configurations of homogeneous fluids in general relativity. Monthly Notices of the Royal Astronomical Society, 355(3), 682-688. doi:10.1111/j.1365-2966.2004.08371.x.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-4FDE-3 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-4FDF-1
Genre: Journal Article

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1365-2966.pdf (Publisher version), 361KB
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 Creators:
Ansorg, Marcus1, Author
Fischer, Thomas, Author
Kleinwächter, Andreas, Author
Meinel, Reinhard, Author
Petroff, David, Author
Schöbel, K., Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: 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.

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 Dates: 2004-10
 Publication Status: Issued
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 Identifiers: eDoc: 367490
DOI: 10.1111/j.1365-2966.2004.08371.x
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Title: Monthly Notices of the Royal Astronomical Society
  Alternative Title : Mon. Not. R. Astr. Soc.
Source Genre: Journal
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Pages: - Volume / Issue: 355 (3) Sequence Number: - Start / End Page: 682 - 688 Identifier: -