FLRW cosmology in metric-affine F(R,Q) gravity


Maurya D.C. Yesmakhanova K. Myrzakulov R. Nugmanova G.
1 December 2024Institute of Physics

Chinese Physics C
2024#48Issue 12

We investigated some Friedmann-Lemaître-Robertson-Walker (FLRW) cosmological models in the context of metric-affine gravity, as proposed in [arXiv: 1205.5266v6]. Here, R and Q are the curvature and nonmetricity scalars using non-special connections, respectively. We obtained the modified field equations using a flat FLRW metric. We then found a connection between the Hubble constant , density parameter , and other model parameters in two different situations involving scalars u and w. Next, we used new observational datasets, such as the cosmic chronometer (CC) Hubble and Pantheon SNe Ia datasets, to determine the optimal model parameter values through a Markov chain Monte Carlo (MCMC) analysis. Using these best-fit values of the model parameters, we discussed the results and behavior of the derived models. Further, we discussed the Akaike information criterion (AIC) and Bayesian information criterion (BIC) for the derived models in the context of the Lambda cold dark matter (ΛCDM). We found that the geometrical sector dark equation of state parameter behaves just like a dark energy candidate. We also found that both models are transit phase models. Model-I approaches the ΛCDM model in the late-time universe, whereas Model-II approaches quintessence scenarios.

FLRW cosmology , FLRW flat universe , metric-affine F(R,Q) gravity , observational constraints , transit phase expansion

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Centre for Cosmology, Astrophysics and Space Science, GLA University, Uttar Pradesh, Mathura, 281 406, India
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Nur-Sultan, 010009, Kazakhstan

Centre for Cosmology
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics

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