New emergent observational constraints in f(Q, T) gravity model

In the current study, we inspect the late-time acceleration of the universe in f(Q, T) gravity. In this theory, Q represents the non-metricity term and with T & mu;& nu; the energy-momentum tensor, with T its trace. To explore the solutions in the theory for the Friedmann-Lemaitre-Robertson-Walker (FLRW) model, we propose a new scale factor called the emergent scale factor, which yields the Hubble parameter, H(z),  ) having the form H(z) = nb -B + 1 (A(z +1))1 b with a new relation a(t) = 1 1+z ). By using the SNIa from Pantheon, BAO from (6dFGS, BOSS-LOWZ, SDSS DR7 MGS, BOSS-DR12, BOSS-CMASS, WiggleZ and Lya), CMB from Planck 2018, and the 36 data points from Hubble datasets using the Monte-Carlo Markov Chain (MCMC) approach, we estimate the parameters of the model. The variation in time of the deceleration parameter in the model shows that a phase of deceleration transits to a phase of acceleration. Further, we examine the behaviour of the jerk parameter and carry out a statefinder analysis. In order to complete the current study, we consider two forms for f (Q, T), specifically, f (Q, T) = a1 Qm +a2T and f (Q, T) = & gamma; Q2+ & eta;Q +& lambda;T where a1, a2, m, & gamma;, & eta;, and & lambda; are the model's parameters that need to satisfy observations. Finally, we present an appraisal of our current analysis.& COPY; 2023 Published by Elsevier B.V.