Hannover 2003 – wissenschaftliches Programm

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GR: Gravitation und Relativitätstheorie

GR 4: Klassische Allgemeine Relativit
ätstheorie

GR 4.4: Fachvortrag

Dienstag, 25. März 2003, 15:00–15:20, A310

Relativistic Dyson Rings and Their Black Hole Limit — •Marcus Ansorg, Andreas Kleinwächter, and Reinhard Meinel — Theoretisch-Physikalisches Institut, University of Jena, Max-Wien-Platz 1, D-07743 Jena, Germany

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. Reference: Astrophys. J. Lett., in press (gr-qc/0211040)