Correspondence between particle creation and dark components interaction in the context of $f(\mathcal{G})$ gravity

TL;DR

This paper investigates the relationship between particle creation and dark component interactions within $f( ext{G})$ gravity, deriving cosmological models, and fitting them to observational Hubble data.

Contribution

It establishes a novel correspondence between particle production and $f( ext{G})$ gravity, deriving cosmological parameters and solutions in this framework.

Findings

Cosmological solutions based on power-law cosmology are obtained.

The model fits well with current Hubble data.

A connection between particle creation and dark energy interactions is demonstrated.

Abstract

In this paper, we explore the particle creation scenario in the context of $f(\mathcal{G})$ gravity in flat-FLRW metric. For this purpose, from the perspective of thermodynamics and considering an adiabatic universe, we obtain the modified continuity equation in terms of the dynamic number of particles $N$. On the other hand, we obtain Friedmann's equations in $f(\mathcal{G})$ gravity and then write down the continuity equations of the components of matter and dark energy, taking into account the interaction between them. In what follows, by establishing a correspondence between the particle production scenario and $f(\mathcal{G})$ gravity, we obtain the cosmological parameters in terms of $N$. After that, we find cosmological solutions using power-law cosmology and compare them with Hubble parameter data. Finally, we fit the current model with Hubble data and plot the best fit in terms of the redshift parameter.