Perturbative approach to gravitational radiation under a conformally flat approximation scheme

Details Perturbative approach to gravitational radiation under a conformally flat approximation scheme Perturbative approach to gravitational radiation under a conformally flat approximation scheme

May 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996aas...188.1301m&link_type=abstract

American Astronomical Society, 188th AAS Meeting, #13.01; Bulletin of the American Astronomical Society, Vol. 28, p.843

Astronomy and Astrophysics

Astronomy

Scientific paper

A calculation of the gravitational radiation emitted by a binary system (e.g., neutron stars, black holes) involves solving numerically extremely complicated non-linear equations. A zeroth order approximation scheme has recently been developed based upon a conformally flat description (CFM) of the spatial part of the metric tensor. This assumption essentially neglects energy loss due to gravitational radiation. This is a good approach in cases where the radiation damping is so small that the system can be considered to be in a quasi-stable orbit. But the inclusion of the gravitational radiation energy loss becomes essential during the inspiral prior to coalescence. We describe here a method to incorporate the gravitational radiation into the CFM scheme by adding a perturbation term to the conformally flat metric tensor to account for the essentially non-diagonal character of the metric of the gravitational waves. The dynamical equations are solved to first order in the perturbation complementing the solution obtained from the CFM scheme.

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