Does f(R,T) gravity admit a stationary scenario between dark energy and dark matter in its framework?

摘要

In this note we address the well-known cosmic coincidence problem in theframework of the \textit{f(R,T)} gravity. In order to achieve this, aninteraction between dark energy and dark matter is considered. A constraintequation is obtained which filters the \textit{f(R,T)} models that produce astationary scenario between dark energy and dark matter. Due to the absence ofa universally accepted interaction term introduced by a fundamental theory, thestudy is conducted over three different forms of chosen interaction terms. Asan illustration three widely known models of \textit{f(R,T)} gravity are takeninto consideration and used in the setup designed to study the problem. Thestudy reveals that, the realization of the coincidence scenario is almostimpossible for the popular models of $f(R,T)$ gravity, thus proving to be amajor setback for these models.