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Abstract |
Unresolved sources of gravitational waves are at the origin of the existence of a stochastic gravitational wave
background. While the computation of is mean density as a function of frequency in a homogeneous and
isotropy universe is standard lore, the computation of its anisotropies requires to understand the coarse
graining from local systems, to galactic scales and then to cosmology. We derive an expression of the
gravitational wave energy density valid in any general spacetime. We then specialize to a perturbed
Friedmann-Lemaˆıtre spacetime in order to determine the angular power spectrum of this stochastic
background as well as its correlation with other cosmological probes, such the distribution of galaxies and
weak lensing.
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