Speaker
Description
\begin{abstract}
In this work, we investigate a cosmological model within the framework of ( f(Q,T) ) gravity, incorporating two-fluid dynamics composed of matter and radiation. The model is constructed using the anisotropic Bianchi type-I metric to explore the evolution of the universe in an extended gravitational theory where the non-metricity scalar ( Q ) is coupled with the trace of the energy-momentum tensor ( T ). A specific functional form ( f(Q,T) = aQ + bT ) is considered, and the corresponding field equations are derived and solved under a suitable parametrization of the deceleration parameter. The physical parameters such as the Hubble parameter, scale factor, and deceleration parameter are expressed in terms of cosmic time and redshift. Observational constraints are applied using the latest Hubble parameter data, and the best-fit values for the model parameters are obtained through statistical analysis. The model exhibits consistency with the $\Lambda$CDM paradigm, particularly demonstrating a transition from deceleration to acceleration in the universe's expansion history. Our results highlight the potential of ( f(Q,T) ) gravity as a viable alternative to dark energy models in explaining cosmic acceleration and suggest its compatibility with observational datasets.
