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

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arxiv gr-qc/9709032 v1 pith:M5QVSIYO submitted 1997-09-12 gr-qc

classification gr-qc
keywords orbitalcompactgravitationalinspiralquadrupole-momentratestarvelocity
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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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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown

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  3. Inferring neutron-star Love-Q relations from gravitational waves in the hierarchical Bayesian framework

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  4. Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog

    gr-qc 2020-10 accept novelty 5.0 of 10

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