Karlsruhe 2011 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 4: Klassische Allgemeine Relativitätstheorie I

GR 4.2: Talk

Tuesday, March 29, 2011, 16:00–16:20, 20.40: 101

(contribution withdrawn) Properties of the 1-PN Dedekind ellipsoids — •Norman Gürlebeck¹ and David Petroff² — ¹Institute of Theoretical Physics, Charles University, Prague, Czech Republic — ²Institute of Theoretical Physics, Friedrich-Schiller-University, Jena, Germany

A changing quadrupole moment leads to gravitational radiation in General Relativity. Does this imply that stationary but non-axisymmetric, isolated systems cannot exist? To learn something about the answer to this question, a post-Newtonian (PN) approximation of the Newtonian triaxial and homogeneous Dedekind ellipsoids is investigated. We shall discuss a generalization of the ansatz used by Chandrasekhar and Elbert (1978), in particular its axisymmetric limit. Contrary to Chandrasekhar & Elbert's ansatz this generalization permits an axially symmetric and rigidly rotating limit (PN Maclaurin spheroids). The additional freedom in the generalized solution can also be used to remove a singularity which occurs in their work. A limit where the Dedekind ellipsoids degenerate to a line mass distribution is also discussed.