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Journal Article

Relativistic Dyson Rings and Their Black Hole Limit

MPS-Authors

Ansorg,  Marcus
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

L87-90.pdf
(Publisher version), 90KB

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Citation

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.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-5265-D
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.