Research ArticleNo Access

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

Centre for Cosmology, Astrophysics and Space Science, GLA University, Mathura-281 406, Uttar Pradesh, India

https://doi.org/10.1142/S0219887824502104Cited by:3 (Source: Crossref)

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 $f (Q, C) = Q + λ C^{m}$ , where $Q$ is the non-metricity scalar, $C$ is the boundary term derived by $C = \overset{˚}{R} - Q$ , and $λ, m$ are the model parameters, to obtain the modified field equations from action. We have parameterized the Hubble function as $H (a) = k_{0} (a {(t)}^{- n} + k_{1})$ with $n, k_{0}, k_{1}$ are arbitrary constants and $a (t)$ is the scale-factor depending upon cosmic time. We have compared this Hubble function with $H (z)$ 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 $- 1.18 < ω^{eff} < - 0.2$ over redshift $- 1 < z < 3$ .

Keywords:

PACS: 98.80−k, 98.80.Jk, 04.50.Kd

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