Generalized Ghost Pilgrim Dark Energy Fractal Cosmology with Observational Constraint

TL;DR

This paper investigates ghost and generalized ghost pilgrim dark energy models within fractal cosmology, constrains their parameters using observational data, and analyzes their implications for cosmic evolution and energy conditions.

Contribution

It introduces a novel application of fractal cosmology to ghost dark energy models and constrains their parameters with MCMC analysis using observational datasets.

Findings

Models remain in the quintessence era before transitioning to Einstein-de Sitter.

Energy conditions are satisfied for weak and null, but violated for strong.

Om(z) curves show a consistently negative slope across data samples.

Abstract

In this work, we explore dark energy models, mainly ghost, generalized ghost, and generalized ghost pilgrim dark energy models within the framework of fractal cosmology. To obtain solutions for the field equations, we employ a parameterization of the deceleration parameter as proposed by \textit{R.K. Tiwari}. By utilizing Markov Chain Monte Carlo (MCMC) analysis, we impose constraints on the free parameters of the derived solutions. The analysis is based on observational datasets, including 57 data points from the Observational Hubble Data ($OHD$) and, 1048 points from the $Pantheon$ Supernovae sample. This approach allows us to assess the viability of the dark energy models in describing the current cosmic expansion. According to the effective equation-of-state parameter, the model maintains itself in the quintessence era and ultimately switches into the Einstein-de Sitter model. Furthermore, we investigate the statefinder, jerk, snap, and lerk parameters. The energy conditions of each model satisfy the weak and null energy conditions but violate the strong energy condition. We find that the $Om(z)$ curves for the data samples exhibit a consistently negative slope throughout the entire range.