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  Relativistic Dyson Rings and Their Black Hole Limit

Ansorg, M., Kleinwächter, A., & Meinel, R. (2003). Relativistic Dyson Rings and Their Black Hole Limit. The Astrophysical Journal Letters, 582(2), L87-L90. doi:10.1086/367632.

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Ansorg, Marcus1, Author
Kleinwächter, Andreas, Author
Meinel, Reinhard, Author
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: In this Letter, we investigate uniformly rotating, homogeneous, and axisymmetric relativistic fluid bodies with a toroidal shape. The corresponding field equations are solved by means of a multidomain spectral method, which yields highly accurate numerical solutions. For a prescribed, sufficiently large ratio of inner to outer coordinate radius, the toroids exhibit a continuous transition to the extreme Kerr black hole. Otherwise, the most relativistic configuration rotates at the mass-shedding limit. For a given mass density, there seems to be no bound to the gravitational mass as one approaches the black hole limit and a radius ratio of unity.

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 Dates: 2003-01
 Publication Status: Issued
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 Identifiers: eDoc: 367497
DOI: 10.1086/367632
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Title: The Astrophysical Journal Letters
  Alternative Title : Astrophys. J. Letters
Source Genre: Journal
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Pages: - Volume / Issue: 582 (2) Sequence Number: - Start / End Page: L87 - L90 Identifier: -