Karlsruhe 2011 – wissenschaftliches Programm
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GR: Fachverband Gravitation und Relativitätstheorie
GR 13: Klassische Allgemeine Relativitätstheorie II
GR 13.1: Vortrag
Donnerstag, 31. März 2011, 18:45–19:05, 20.40: 101
Approximation of the exterior gravitational field of rotating neutron stars — •Christian Teichmüller1, Markus B. Fröb2, and Fabian Maucher3 — 1Theoretisch-Physikalisches Institut, University of Jena, Max-Wien-Platz 1, 07743 Jena, Germany — 2Departament de Física Fonamental, Institut de Ciències del Cosmos (ICC), Universitat de Barcelona, C/Martí i Franquès 1, 08028 Barcelona, Spain — 3Max Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany
It was shown that Bäcklund transformations can be used to generate stationary axisymmetric solutions of Einstein's vacuum field equations with any number of constants. We want to use this class of exact solutions to describe the exterior vacuum region of numerically calculated neutron stars. Therefore we study how an Ernst potential given on the rotation axis and containing arbitrary constants can be used to determine the metric everywhere. Afterwards we review two methods to determine those constants from a numerically calculated solution. Finally, we compare the metric and physical properties of our analytic solution with the numerical data and find excellent agreement even for a small number of parameters.