A Practical Theorem on Gravitational Wave Backgrounds

Details A Practical Theorem on Gravitational Wave Backgrounds A Practical Theorem on Gravitational Wave Backgrounds

2001-08-02

arxiv.org/abs/astro-ph/0108028v1

Astronomy and Astrophysics

Astrophysics

7 pages, no figures, uses mn2e.cls; submitted to MNRAS

Scientific paper

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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