## Abstract

Observations of binary inspiral in a single interferometric gravitational wave detector can be cataloged according to signal-to-noise ratio ρ and chirp mass M. The distribution of events in a catalog composed of observations with ρ greater than a threshold ρ0 depends on the Hubble expansion, deceleration parameter, and cosmological constant, as well as the distribution of component masses in binary systems and evolutionary effects. In this paper I find general expressions, valid in any homogeneous and isotropic cosmological model, for the distribution with ρ and M of cataloged events; I also evaluate these distributions explicitly for relevant matter-dominated Friedmann-Robertson-Walker models and simple models of the neutron star mass distribution. In matter-dominated Friedmann-Robertson-Walker cosmological models advanced LIGO detectors will observe binary neutron star inspiral events with ρ>8 from distances not exceeding approximately 2 Gpc, corresponding to redshifts of 0.48 (0.26) for h=0.8 (0.5), at an estimated rate of 1 per week. As the binary system mass increases so does the distance it can be seen, up to a limit: in a matter-dominated Einstein-de Sitter cosmological model with h=0.8 (0.5) that limit is approximately z = 2.7 (1.7) for binaries consisting of two 10M⊙ black holes. Cosmological tests based on catalogs of the kind discussed here depend on the distribution of cataloged events with ρ and M. The distributions found here will play a pivotal role in testing cosmological models against our own universe and in constructing templates for the detection of cosmological inspiraling binary neutron stars and black holes.

Original language | English (US) |
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Pages (from-to) | 2878-2894 |

Number of pages | 17 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 53 |

Issue number | 6 |

DOIs | |

State | Published - 1996 |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)