2005/06/30 by T. Fischer, Thomas Fischer, Stefan Horatschek +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #gr-qc
paper · pdf · doi:10.1111/j.1365-2966.2005.09629.x
published as Mon.Not.Roy.Astron.Soc.364:943-947,2005 · 6 pages, 4 figures, added material and one new reference
arxiv created 2005/09/02 · openalex publication_date 2005/11/03 · arxiv updated 2011/05/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 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 quasi-stationary transition to the extreme Kerr black hole.