Anisotropy of the astrophysical gravitational wave background: Analytic expression of the angular power spectrum and correlation with cosmological observations

Abstract : Unresolved sources of gravitational waves are at the origin of a stochastic gravitational wave background. While the computation of its mean density as a function of frequency in a homogeneous and isotropic universe is standard lore, the computation of its anisotropies requires understanding the coarse graining from local systems, to galactic scales and then to cosmology. An expression of the gravitational wave energy density valid in any general spacetime is derived. It is then specialized to a perturbed Friedmann-Lemaître spacetime in order to determine the angular power spectrum of this stochastic background as well as its correlation with other cosmological probes, such as the galaxy number counts and weak lensing. Our result for the angular power spectrum also provides an expression for the variance of the gravitational wave background.
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https://hal.archives-ouvertes.fr/hal-01669773
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Soumis le : jeudi 21 décembre 2017 - 00:34:46
Dernière modification le : jeudi 11 janvier 2018 - 06:14:28

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Giulia Cusin, Cyril Pitrou, Jean-Philippe Uzan. Anisotropy of the astrophysical gravitational wave background: Analytic expression of the angular power spectrum and correlation with cosmological observations. Phys.Rev.D, 2017, 96 (10), pp.103019. 〈10.1103/PhysRevD.96.103019〉. 〈hal-01669773〉

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