Study of dark energy models in f(R,T2)theory

This paper investigates the quantum chromodynamics ghost model of dark energy in the framework of f(R,T2)theory. The investigation centers on the non-interacting ghost dark energy model in a Friedmann–Robertson–Walker universe. Various cosmic parameters such as the Hubble parameter, equation of state and deceleration parameter are computed to examine the implications of the ghost dark energy model. Further, it is discovered that the equation of state parameter of ghost dark energy traverses the phantom regime. The stability analysis of this model is conducted using the squared sound speed. This study serves to reconstruct the model of gravity by incorporating dark matter and the ghost dark energy model. Special emphasis is placed on the scenario where the function is defined as f(R,T2)=f1(R)+f2(T2). In this context, our attention is focused on a specific model that allows for the use of the standard continuity equation in this modified theory. The conclusion drawn is that the reconstructed ghost dark energy model in the framework of f(R,T2)gravity exhibit phantom or quintessence eras of the cosmos, describing the accelerated expansion of the universe. This exploration sheds light on the complex interplay between quantum chromodynamics, dark energy and modified theories of gravity, offering valuable insights into the dynamics of the cosmos at large scales.