The Cosmic Neutrino Background Anisotropy - Linear Theory
Steen Hannestad, Jacob Brandbyge (University of Aarhus)
TL;DR
This paper develops a linear theoretical framework to calculate the anisotropy of the cosmic neutrino background, incorporating effects like gravitational lensing for massive neutrinos.
Contribution
It presents a comprehensive linear theory for neutrino background anisotropy, including gravitational lensing effects for massive particles, extending previous models.
Findings
Derived the full Boltzmann equation solution for massive neutrino anisotropy
Included weak gravitational lensing effects using the Limber approximation
Provided a framework applicable to future cosmological observations
Abstract
The cosmic neutrino background anisotropy is calculated for massive neutrino states by solving the full Boltzmann equation. The effect of weak gravitational lensing, including the Limber approximation, is also derived for massive particles, and subsequently applied to the case of massive neutrinos.
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