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

Newtonian or quadrupole term

Higher order PN corrections

Spin-Orbit corrections

The transverse-traceless tenzor in the PN approximation

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