Jena 2013 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 17: Grundlegende Probleme I

GR 17.1: Talk

Friday, March 1, 2013, 11:15–11:30, HS 6

Gravitational Quadrupole Contributions to the Equations of Motion of Compact Objects — •Jan Steinhoff — CENTRA, Instituto Superior Técnico, Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugal

Compact objects in general relativity approximately move along geodesics of spacetime. Corrections due to spin (dipole), quadrupole, and higher multipoles were derived, e.g., by Mathisson, Papapetrou, and Dixon long ago. We discuss how Dixon's quadrupole can be related to astrophysical objects like neutron stars or black holes. In particular, we investigate quadrupole deformation due to spin and tidal interactions. Further, an inclusion of oscillation modes of the object via the quadrupole is considered. For this purpose the Newtonian case is reviewed and formulated in a novel manner. Problems for an extension to the general relativistic case and a tentative solution are discussed.