The impact of cosmic neutrinos on the gravitational-wave background

Details The impact of cosmic neutrinos on the gravitational-wave background The impact of cosmic neutrinos on the gravitational-wave background

2008-05-21

arxiv.org/abs/0805.3234v2

Phys.Rev.D78:083517,2008

Astronomy and Astrophysics

Astrophysics

12 pages, LaTeX file; Phys.Rev.D accepted version

Scientific paper

10.1103/PhysRevD.78.083517

We obtain the equation governing the evolution of the cosmological gravitational-wave background, accounting for the presence of cosmic neutrinos, up to second order in perturbation theory. In particular, we focus on the epoch during radiation dominance, after neutrino decoupling, when neutrinos yield a relevant contribution to the total energy density and behave as collisionless ultra-relativistic particles. Besides recovering the standard damping effect due to neutrinos, a new source term for gravitational waves is shown to arise from the neutrino anisotropic stress tensor. The importance of such a source term, so far completely disregarded in the literature, is related to the high velocity dispersion of neutrinos in the considered epoch; its computation requires solving the full second-order Boltzmann equation for collisionless neutrinos.

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