Particle Creation in some LRS Bianchi I models

TL;DR

This paper investigates particle creation in anisotropic Bianchi type I cosmological models with rotational symmetry, calculating particle number densities for spin 0 and 1/2 particles using Bogolubov transformations.

Contribution

It provides exact solutions for particle creation in anisotropic models, extending previous isotropic analyses with explicit calculations for different spin particles.

Findings

Exact particle number densities derived for spin 0 and 1/2 particles.

Demonstrates the impact of anisotropy on particle creation rates.

Provides a framework for analyzing quantum effects in anisotropic cosmologies.

Abstract

In this work we consider particle creation by the expansion of the universe, using two Bianchi type I anisotropic models. The particles studied are of spin 0 and 1/2. The cosmological models have rotational symmetry, which allows us to solve exactly the equations of motion. The number density of the created particles is calculated with the method of Bogolubov transformations.