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The spectral density of astrophysical stochastic backgrounds

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arxiv 2411.04028 v3 pith:Z63ES7HK submitted 2024-11-06 gr-qc astro-ph.CO

Enis Belgacem , Francesco Iacovelli , Michele Maggiore , Michele Mancarella , Niccolò Muttoni This is my paper · ORCID
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keywords arrivalbackgroundsbinariesbinarycirculardensitylinearparameters
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We provide a detailed derivation of the spectral density of the stochastic background generated by the superposition of coalescing compact binaries. We show how the expression often used in the literature emerges from an average over the extrinsic parameters of the binaries (times of arrival, polarization angles, arrival directions and orbit inclinations) and how the Stokes parameters related to circular and linear polarization are set to zero by such averaging procedure. We then consider the effect of shot noise, i.e. the fact that for the superposition of a finite number of sources these averages are only approximate, and we show how it generates circular and linear polarizations (even for isotropic backgrounds) as well as spatial anisotropies, and we compute them explicitly for a realistic population of binary black holes and binary neutron stars.

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Cited by 3 Pith papers

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