Berlin 2005 – scientific programme

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GR: Gravitation und Relativitätstheorie

GR 10: Gravitationswellen – Quellen

GR 10.4: Talk

Saturday, March 5, 2005, 14:45–15:00, TU BH262

Probing oscillations with spectral methods - Towards a 2D simulation for rapidly rotating neutron stars — •Erich Gaertig — Institut für Astronomie und Astrophysik der Universität Tübingen

In this talk I will give a brief overview about the current status of my work, which is part of the SFB/TR07. The final goal is to solve the linearized Einstein-equations for small perturbations on rotating neutron stars. In a very first step, all disturbances in the metric potentials are neglected which simplifies the problem significantly. As a consequence, only the relativistic hydrodynamic equations have to be considered and no gravitational waves are emitted.

A numerical code has been written that utilizes a highly accurate background model for polytropic equations of state and makes use of spectral methods for spatial differentiation. For time-evolution itself, an explicit Runge-Kutta 4th-order scheme is implemented.