Constraining the Newly Reconstructed f (Q, T ) Gravity Models Under the Recent Cosmic Domains

Abstract

The modified gravitational theories commonly known as MGTs performed very signifi- cant role in studying the sped-up stage of our Universe over past several decades. There have been several techniques which are proposed in modified theories to resolve the cosmic problem. Considering the Weyl geometry, we investigated the f (Q, T ) gravity, where Q is a non-metricity scalar and T as trace of energy momentum tensor (EMT). In this research we took into account the models of f (Q, T ) theory that are described as f (Q, T ) = β[(1 − α) + (1 + z)(α + zβ )] involving arbitrary parameters α, β and redshift z. Moreover, we studied the existence of their analytical solutions. In addi- tion, we determine the behavior of effective equation of state (EoS) parameter ω for every reconstructed solution of the models and examine the quintessence region of the Universe for ω