Browsing by Author "Houndjo, M.J.S"
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Item Cosmological Study of Autonomous Dynamical Systems(Research Gate, 2018-04-25) Ganiou, M.G; Logbo, P.H; Houndjo, M.J.S; Tossa, J.Cosmological approaches of autonomous dynamical system in the framework of f(T ) gravity are investigated in this paper. Our methods applied to flat Friedmann-Robertson Walker equations in f(T ) gravity, consist to extract dynamical systems whose time-dependence is contained in a single parameter m depending on the Hubble rate of Universe and its second derivative. In our attempt to investigate the autonomous aspect of the dynamical systems reconstructed in both vacuum and non-vacuum f(T ) gravities, two values of the parameter m have been considered for our present analysis. In the so-called quasi-de Sitter inflationary era (m ≃ 0), the corresponding autonomous dynamical systems provide stable de Sitter attractors and unstable de Sitter fixed points. Especially in the vacuum f(T ) gravity, the approximate form of the f(T ) gravity near the stable and the unstable de Sitter fixed points has been performed. The matter dominated era case (m = −9/2) leads to unstable fixed points confirming matter dominated era or not, and stable attractor fixed point describing dark energy dominated era. Another subtlety around the stable fixed point obtained at matter dominated case in the non-vacuum f(T ) gravity is when the dark energy dominated era is reached, at the same time, the radiation perfect fluid dominated succumbs.Item f(R, T) models applied to baryogenesis(Springer Link, 2019-02-05) Baffou, E.H.; Houndjo, M.J.S; Kanfon, D.A.; Salako, I.G.This paper is devoted to the reproduction of the gravitational baryogenesis epoch in the context of f (R, T ) theory of gravity, where R and T are respectively the curvature scalar and the trace of the energy-momentum tensor, respectively. It is assumed a minimal coupling between matter and gravity. In particular we consider the following two models, f (R, T ) = R + αT + βT 2 and f (R, T ) = R + μR2 + λT , with the assumption that the universe is filled by dark energy and perfect fluid where the baryon to entropy ratio during a radiation domination era is non-zero. We constrain the models with the cosmological gravitational baryogenesis scenario, highlighting the appropriate values of model’s parameters compatible with the observation data of the baryon-entropy ratio.