Particle Creation in a universe filled by radiation and dust-like matter

TL;DR

This paper investigates particle creation of scalar and spin 1/2 particles in an open universe filled with radiation and dust, revealing distributions consistent with thermal spectra.

Contribution

It provides explicit solutions to Klein-Gordon and Dirac equations in this cosmological setting and compares in/out vacua to determine particle creation spectra.

Findings

Particle creation spectra follow Planckian and Fermi-Dirac distributions.

Explicit solutions for scalar and spinor fields in the cosmological model.

Quantitative analysis of particle number in an open universe context.

Abstract

In this article the particle creation process of scalar and spin 1/2 particles in a spatially open cosmological model associated with a universe filled by radiation and dustlike matter. The Klein-Gordon and Dirac equations are solved via separation of variables. After comparing the{\it \ in }and% {\it \ out} vacua, we obtain that the number of created particles corresponds to Planckian and Fermi-Dirac distributions for the scalar and Dirac cases