Cosmological models generated by utilizing a varying polynomial deceleration parameter

The current paper is concerned with extracting a novel law for a varying polynomial deceleration parameter. This law covers each of Berman’s laws, a linearly varying deceleration parameter, a periodic Universe with a varying deceleration parameter of the second degree, and many other models. Additionally, this novel law tells us about the behavior of the Universe. Furthermore, it gives appropriate results with data (SNIa data and CMB shift), particularly of the late time of the Universe. In accordance with this law, one can expect several patterns in the evolution of the Universe like Big Rip, Big Crunch, periodic Universe, and dark energy.