In this study, we explore a cosmological framework based on Hoyle-Narlikar’s creation-field theory by introducing a novel form of the creation field with respect to time, Formula: see text, within the spatially flat Friedmann-Lemaître-Robertson-Walker (FLRW) spacetime. We also investigate the behaviour of dark energy and cosmic acceleration/deceleration based on our proposed model (Hoyle-Narlikar gravity model) with new creation field. To test its observational consistency, we constrain the independent parameters Formula: see text and some derived parameters Formula: see text using Markov Chain Monte Carlo (MCMC) analysis with the emcee sampler, incorporating the Observational Hubble Data (OHD) and Pantheon Plus (PP) supernova datasets. Our analysis yields a best-fit value of the Hubble constant, Formula: see text at 68% C.L. from the OHD+PP data. This result agrees well with the SH0ES calibration and alleviates the Formula: see text Hubble tension between the Planck and SH0ES measurements. Our model further predicts a deceleration–acceleration transition at redshift Formula: see text, with a present deceleration parameter Formula: see text, and estimates the current age of the universe to be in the range of Formula: see text Gyr, consistent with observational bounds. The creation field coupling constant Formula: see text remains positive, ensuring physical stability. Moreover, analysis of the Formula: see text diagnostic reveals a distinct dynamical behavior of dark energy:the slope of Formula: see text transitions from negative to positive at Formula: see text, indicating a shift from a quintessence-like phase to a phantom regime, and from positive to negative at Formula: see text, suggesting a subsequent return from phantom to quintessence. The Akaike Information Criterion (AIC) and Bayesian Information Criterion (BIC) values of our model are slightly higher than those of the standard and dynamical dark energy models, indicating that our model remains statistically consistent.
Yadav et al. (Thu,) studied this question.