Coalescing binary systems of compact objects to (post)5/2-Newtonian order. II. Higher-order wave forms and radiation recoil

Details Coalescing binary systems of compact objects to (post)5/2-Newtonian order. II. Higher-order wave forms and radiation recoil Coalescing binary systems of compact objects to (post)5/2-Newtonian order. II. Higher-order wave forms and radiation recoil

Aug 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..46.1517w&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 46, Issue 4, 15 August 1992, pp.1517-1539

Physics

74

Neutron Stars, Black Holes, Spectroscopic Binaries, Close Binaries

Scientific paper

Using formulas developed by Blanchet, Damour, and Iyer, we obtain a symmetric trace-free multipolar expansion of the gravitational radiation from a coalescing binary system which is sufficiently accurate to allow a post-Newtonian calculation of the linear momentum carried off by the gravitational radiation prior to a binary coalescence. We briefly examine the structure of the post-quadrupole corrections to the wave form for an orbiting binary system near coalescence. The post-Newtonian correction to the momentum ejection allows a more accurate calculation of the system recoil velocity (radiation rocket effect). We find that the higher-order correction actually reduces the net momentum ejection. Furthermore, the post-Newtonian correction to the momentum flux has only a weak dependence on the mass ratio of the objects in the binary, suggesting that previous test mass calculations may be quite accurate. We estimate an upper bound of the center-of-mass velocity of 1 km s-1 for neutron star binaries very near coalescence. In an appendix we give a self-contained (albeit less rigorous) derivation of the gravitational wave form using the Epstein-Wagoner formalism.

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