München 2006 – wissenschaftliches Programm

Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe

GR: Gravitation und Relativitätstheorie

GR 502: Gravitationswellen

GR 502.1: Hauptvortrag

Freitag, 24. März 2006, 10:30–11:10, K

Numerical implementation of a fully-constrained formulation of Einstein equations — •Jerome Novak, Silvano Bonazzola, Eric Gourgoulhon, Philippe Grandclement, and Lap-Ming Lin — Laboratoire de l’Univers et de ses Theories, CNRS / Observatoire de Paris, F-92195 Meudon, France

A maximally-constrained scheme for 3+1 numerical relativity is described using maximal slicing and spherical tensor components. Thanks to the additional introduction of a flat 3-metric on spatial hypersurfaces, corresponding to their asymptotic structure, it is possible to generalize the Dirac gauge to spherical coordinates. Thus, the Einstein equations can be written as a coupled system of five elliptic equations (including Hamiltonian and momentum constraints) and two scalar wave equations,which correspond to the dynamical degrees of freedom of the gravitational field. High-precision numerical models of rotating relativistic stars and evolution of 3D gravitational wave spacetime are presented as numerical examples. In particular, the accuracy of the resolution of the constraints equations is shown, as well as of those evolution equations which are not actually solved.