Cosmological production of fermions in a flat Friedman universe with linearly growing scale factor: exactly solvable model

TL;DR

This paper presents an exactly solvable model for fermion production in a flat Friedman universe with a linearly growing scale factor, providing analytical insights into particle creation during cosmic evolution.

Contribution

It introduces a novel exactly solvable model for fermion production in a specific cosmological setting, enabling analytical calculation of particle number density.

Findings

Analytical expression for fermion number density derived

Model demonstrates the role of cosmological particle production in universe history

Exact solutions facilitate understanding of particle creation mechanisms

Abstract

We consider an exactly solvable model for production of fermions in the Friedman flat universe with a scale factor linearly growing with time. Exact solution expressed through the special functions admit an analytical calculation of the number density of created particles. We also discuss in general the role of the phenomenon of the cosmological particle production in the history of universe.