Transit Cosmological Models in Non-Coincident Gauge Formulation of $$\boldsymbol{f(Q,C)}$$ Gravity Theory with Observational Constraints
Dinesh Chandra Maurya
Abstract
The current study investigates dark energy cosmological models using a boundary term and a non-coincident gauge formulation of nonmetricity gravity. To obtain the modified field equations from the action, we considered the function $$f(Q,C)=Q+\lambda C^{m}$$ , where $$Q$$ is the nonmetricity scalar, $$C$$ is the boundary term given by $$C=\mathring{R}-Q$$ , and $$\lambda,m$$ are model parameters. The scale factor that we acquired, $$a(t)=[\sinh(k_{0}t)]^{1/n}$$ , is determined by taking into account the time-dependent deceleration parameter. The constants $$n$$ and $$k_{0}$$ are used in this calculation. By comparing the Hubble function with $$H(z)$$ datasets, we were able to use likelihood analysis to determine the model parameters that best fit the data. We have performed our result analysis and a discussion using the cosmological parameters, including the effective equation-of-state parameter, energy density, energy conditions, deceleration parameter, OM diagnostic analysis, and age of the universe, using these best match values of the model parameters.