Cosmological Perturbations Engendered by Discrete Relativistic Species

TL;DR

This paper develops an analytical cosmological perturbation theory within extended $ ext{Lambda}$CDM models, accounting for relativistic discrete particles like neutrinos and warm dark matter across all relevant scales.

Contribution

It introduces a comprehensive perturbation framework that includes relativistic effects and Yukawa interactions for discrete particles in cosmology.

Findings

Analytical expressions for metric perturbations with relativistic particles.

Incorporation of Yukawa interaction range into scalar metric corrections.

Applicable across all spatial scales in the weak gravitational field regime.

Abstract

Within the extension of the $\Lambda$CDM model, allowing for the presence of neutrinos or warm dark matter, we develop the analytical cosmological perturbation theory. It covers all spatial scales where the weak gravitational field regime represents a valid approximation. Discrete particles - the sources of the inhomogeneous gravitational field - may be relativistic. Similarly to the previously investigated case of nonrelativistic matter, the Yukawa interaction range is naturally incorporated into the first-order scalar metric corrections.