Cosmology in non-coincident gauge formulation of f(Q,C) gravity theory

Abstract

This paper is an investigation of dark energy cosmological models in non-coincident gauge formulation of non-metricity gravity with boundary term. We have considered an arbitrary function [Formula: see text], where [Formula: see text] is the non-metricity scalar, [Formula: see text] is the boundary term derived by [Formula: see text], and [Formula: see text] are the model parameters, to obtain the modified field equations from action. We have parameterized the Hubble function as [Formula: see text] with [Formula: see text] are arbitrary constants and [Formula: see text] is the scale-factor depending upon cosmic time. We have compared this Hubble function with [Formula: see text] datasets and obtained best fit values of model parameters using likelihood analysis. Using these best fit values of model parameters, we have done our result analysis and discussion with cosmological parameters viz effective equation of state parameter, energy density, energy conditions, deceleration parameter, om diagnostic analysis and age of the universe. We have found a transit phase universe model with effective EoS parameter [Formula: see text] over redshift [Formula: see text].