Relativistic Dyson Rings and Their Black Hole Limit

Details Relativistic Dyson Rings and Their Black Hole Limit Relativistic Dyson Rings and Their Black Hole Limit

2002-11-12

arxiv.org/abs/gr-qc/0211040v2

Astrophys.J.582:L87,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 1 table, 5 figures, v2: some discussion and two references added, accepted for publication in Astrophys. J. Lett

Scientific paper

10.1086/367632

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 multi-domain 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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