Cyclic anisotropic universe in modified gravity with variable deceleration parameter of third degree

Modified f(R, T) gravity is investigated in Bianchi type-I cosmological models which is isotropic and homogeneous by choosing the function f(R,T)=R+2λT\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f(R,T)=R+2\lambda T$$\end{document}, where the Ricci scalar and the trace of the energy momentum tensor respectively are denoted by R and T. The field equations of the Universe are solved to find the exact solutions by introducing a new generalized time varying deceleration parameter of third degree and the relation of proportionality of shear scalar with expansion scalar (i.eσ∝θ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(i.e\,\, \sigma \propto \theta )$$\end{document}. Universe begins from initial singularity and advances through Big Rips, then it ends with Big Crunch at t=3n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$t=3n$$\end{document}. It is seen that pressure (p) becomes negative, energy density (ρ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(\rho )$$\end{document} is in positive region and EoS parameter enters in to the phase of phantom epoch. The energy conditions and Om(z) diagnostic of the model are analyzed. The phantom nature of the dark energy is observed and the energy conditions of NEC and DEC are found to be correct and SEC is not followed, which supports the present scenario of the expanding Universe.