Bonn 2001 – wissenschaftliches Programm

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GR: Gravitation und Relativitätstheorie

GR 7: Klassische Allgemeine Relativit
ätstheorie

GR 7.2: Fachvortrag

Dienstag, 27. März 2001, 14:30–14:45, VII

Differentially rotating disks of dust: Arbitrary rotation law — •Marcus Ansorg — Max-Wien-Platz 1, 07743 Jena

In this talk, solutions to the Ernst equation are investigated that depend on two real analytic functions defined on the interval [0,1]. These solutions are introduced by a suitable limiting process of Baecklund transformations applied to seed solutions of the Weyl class. It turns out that this class of solutions contains the general relativistic gravitational field of an arbitrary differentially rotating disk of dust, for which a continuous transition to some Newtonian disk exists. It will be shown how for given boundary conditions (i.e. proper mass density or angular velocity of the disk) the gravitational field can be approximated in terms of the above solutions. Furthermore, particular examples will be discussed, including disks with a realistic profile for the angular velocity and more exotic disks possessing two spatially separated ergoregions.