Gravitational waves emitted by inspiralling compact binaries János Majár HAS KFKI Research Institute for Particle and Nuclear Physics Budapest, Hungary  21 -26 May, 2006   Cascina, Italy

Projectors and polarization states The projectors and the polarization states using the N, p, q triad

Compact binaries and the post-Newtonian (PN) approximation Small velocity (neglect ultra-relativistic effects) Small gravitational potential (neglect extreme gravitational effects) Spin is treated as a PN perturbation

The transverse-traceless tenzor in the PN approximation Newtonian or quadrupole term Higher order PN corrections Spin-Orbit corrections

Research plan Description of the motion and the method in the Lense-Thirring picture Description of the motion and the method in the finite mass case Description of the motion and the method in the general case Explicit time dependence – numerical integration Polarization states in the Lense-Thirring picture, effects of eccentricity and spin Polarization states in the finite mass case, effects of eccentricity and spin, extreme mass ratio limit Polarization states in the general case, effects of eccentricity and spins, extreme mass ratio limit, one spin limit, lowest order spin-spin contributions Innermost Stable Circular Orbit case