Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe

GR: Gravitation und Relativitätstheorie

GR 1: Klassische Allgemeine Relativit
ätstheorie

GR 1.4: Vortrag

Montag, 20. März 2000, 15:15–15:35, W B321

Differentiell rotierende Scheiben — •Marcus Ansorg1 and Reinhard Meinel21Friedrich-Schiller-Universität Jena, Fakultät für Mathematik und Informatik, Graduiertenkolleg, Ernst-Abbe-Platz 4, 07743 Jena, Germany — 2Friedrich-Schiller-Universität Jena, Theoretisch-Physikalisches Institut, Max-Wien-Platz 1, 07743 Jena, Germany

We present a three-parameter family of solutions to the stationary axisymmetric Einstein equations that describe differentially rotating disks of dust. They have been constructed by generalizing the Neugebauer-Meinel solution of the problem of a rigidly rotating disk of dust. The solutions correspond to disks with angular velocities depending monotonically on the radial coordinate; both decreasing and increasing behaviour is exhibited.
In general, the solutions are related mathematically to Jacobi’s inversion problem and can be expressed in terms of Riemann theta functions. A particularly interesting two-parameter subfamily represents Bäcklund transformations to appropriate seed solutions of the Weyl class. Reference: gr-qc/9910045

100% | Bildschirmansicht | English Version | Kontakt/Impressum/Datenschutz
DPG-Physik > DPG-Verhandlungen > 2000 > Dresden