Uniformly Rotating Rings in General Relativity

Details Uniformly Rotating Rings in General Relativity Uniformly Rotating Rings in General Relativity

2005-06-21

arxiv.org/abs/gr-qc/0506105v2

Mon.Not.Roy.Astron.Soc.364:943-947,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, 4 figures, added material and one new reference

Scientific paper

10.1111/j.1365-2966.2005.09629.x

In this paper, we discuss general relativistic, self-gravitating and uniformly rotating perfect fluid bodies with a toroidal topology (without central object). For the equations of state describing the fluid matter we consider polytropic as well as completely degenerate, perfect Fermi gas models. We find that the corresponding configurations possess similar properties to the homogeneous relativistic Dyson rings. On the one hand, there exists no limit to the mass for a given maximal mass-density inside the body. On the other hand, each model permits a quasistationary transition to the extreme Kerr black hole.

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