2002/11/27 by M. Ansorg, A. Kleinwächter, R. Meinel · 1 voice · 3 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Pulsars and Gravitational Waves Research #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1086/367632
published as Astrophys.J.582:L87,2003 · 13 pages, 1 table, 5 figures, v2: some discussion and two references added, accepted for publication in Astrophys. J. Lett
arxiv created 2002/11/27 · openalex publication_date 2003/01/10 · arxiv updated 2010/12/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.