Gravitational waves from inspiraling compact binaries: The quadrupole-moment term

Details Gravitational waves from inspiraling compact binaries: The quadrupole-moment term Gravitational waves from inspiraling compact binaries: The quadrupole-moment term

1997-09-12

arxiv.org/abs/gr-qc/9709032v1

Phys.Rev. D57 (1998) 5287-5290

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, ReVTeX

Scientific paper

10.1103/PhysRevD.57.5287

A rotating star's oblateness creates a deformation in the gravitational field outside the star, which is measured by the quadrupole-moment tensor. We consider the effect of the quadrupole moment on the orbital motion and rate of inspiral of a compact binary system, composed of neutron stars and/or black holes. We find that in the case of circular orbits, the quadrupole-monopole interaction affects the relation between orbital radius and angular velocity, and also the rate of inspiral, by a quantity of order (v/c)^4, where v is the orbital velocity and c the speed of light.

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