Stochastic background of gravitational waves from cosmic-rays
Aur\'elien Barrau, Juan Garc\'ia-Bellido, Killian Martineau, Daryna Yushchenko

TL;DR
This paper investigates the gravitational wave background generated by cosmic-ray particles, providing a phenomenological model and analyzing the spectral features for different particle types and origins.
Contribution
It introduces a new analysis of gravitational wave signals from cosmic-rays, including a phenomenological approximation and spectral predictions for electrons and protons.
Findings
Derived the shape and peak frequency of the gravitational wave background.
Identified unexpected features in the gravitational wave signal characteristics.
Provided estimates for galactic and extragalactic cosmic-ray contributions.
Abstract
Cosmic-rays are charged particles moving in magnetic fields. They not only emit well-known synchrotron photons but also gravitational radiation. We clarify the characteristics of the gravitational wave signal in this specific situation and underline some unexpected features. A phenomenological approximation for the radiated power is given. We derive the shape and peaking frequency of the associated stochastic backgrounds of gravitational waves for both electrons and protons, either of galactic or extra-galactic origin.
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