Infrared divergence of the gravitational wave damping in the early Universe

Details Infrared divergence of the gravitational wave damping in the early Universe Infrared divergence of the gravitational wave damping in the early Universe

2012-04-06

arxiv.org/abs/1204.1384v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 5 figures

Scientific paper

An analytical solution for the damping of gravitational waves in the early Universe due to freely streaming neutrinos is found in the long wave length limit. In contrast to the analogous problem in the short wavelength limit, the long wavelength limit problem returns a divergent solution as it has been predicted by S. Weinberg. Solution was possible with the help of a new compact formula for the convolution of spherical Bessel functions of integer order.

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