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A Practical Theorem on Gravitational Wave Backgrounds

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arxiv astro-ph/0108028 v1 pith:J2E3ARHA submitted 2001-08-02 astro-ph gr-qc

A Practical Theorem on Gravitational Wave Backgrounds

classification astro-ph gr-qc
keywords gravitationalwavesourcesspectrumbackgroundbackgroundsrelationshipallows
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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There is an extremely simple relationship between the spectrum of the gravitational wave background produced by a cosmological distribution of discrete gravitational wave sources, the total time-integrated energy spectrum of an individual source, and the present-day comoving number density of remnants. Stated in this way, the background is entirely independent of the cosmology, and only weakly dependent on the evolutionary history of the sources. This relationship allows one easily to compute the amplitude and spectrum of cosmic gravitational wave backgrounds from a broad range of astrophysical sources, and to evaluate the uncertainties therein.

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Cited by 34 Pith papers

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