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An analytic description of the damping of gravitational waves by free streaming neutrinos

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arxiv 1207.7285 v4 pith:VXTHLY3M submitted 2012-07-31 hep-ph astro-ph.CO

classification hep-phastro-ph.CO
keywords analyticdampingfreefunctionsgravitationalneutrinosstreamingwaves
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abstract

We provide an analytic solution to the general wavelength integro-differential equation describing the damping of tensor modes of gravitational waves due to free streaming neutrinos in the early universe. Our result is expressed as a series of spherical Bessel functions whose coefficients are functions of the reduced wave number $Q$.

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