الخلاصة:
In this thesis, we have studied two different models of the accelerated expansion of the universe phenomenon. In the first model, we have found that the geometry is responsible for this accelerated expansion of the universe without introducing a dark energy. This model is the f (R) theory in the context of Finsler geometry. The second model consists of introducing a Chaplygin fluid. This kind of matter has somewhat strange properties such that a negative pressure which may be a signature of dark energy. This energy does not interact with ordinary matter, but acts on gravitation. In addition, we must not forget that this study is based on a non-Riemannian geometry which is the Finsler geometry considered as a generalization of the space-time geometry. The interpretation of these cosmological models suggests viable solutions and stability near the vicinity of some critical points in the dynamical study.
