A generalized $\Lambda$CDM model with parameterized Hubble parameter in particle creation, viscous and $f(R)$ model framework

TL;DR

This paper develops a generalized cosmological model incorporating particle creation, viscosity, and $f(R)$ gravity, fitting it to observational data to analyze late-time universe dynamics and compare with the standard $ ext{Lambda CDM}$ model.

Contribution

It introduces a unified framework for various modified gravity and particle creation models using a generalized Hubble parameter form, fitted with observational data.

Findings

Model parameters best fit to cosmic chronometer and supernova data.

Cosmographic and physical parameters analyzed for cosmic dynamics.

Model comparison shows compatibility with $ ext{Lambda CDM}$ in late-time universe.

Abstract

In this study, we construct a theoretical framework based on the generalized Hubble parameter form which may arise within the particle creation, viscous and $f(R)$ gravity theory. The Hubble parameter is scrutinized for its compatibility with the observational data relevant to the late-time universe. By using Bayesian statistical techniques based on $\chi^{2}$ minimization method, we determine model parameters's best fit values for the cosmic chronometer and supernovae Pantheon datasets. For the best fit values, the cosmographic and physical parameters are analyzed to understand the cosmic dynamics in model. We also analyze the model section criterion in comparison to the $\Lambda$ cold dark matter model.