Bouncing universe with the modified gravity coupled to the Weyl tensor

In this paper, we consider a modified gravity model in FRW cosmology, when our action is coupled by Weyl tensor and an arbitrary f ( R ) function. It indicates the emergence of the bouncing solution in the model, while the equation of state parameter crosses the phantom divider. In this research, cosmological usage of the most promising candidate of dark energy in the framework of f ( R ) theory is explored when it is coupled by a Weyl tensor. A f ( R ) gravity model in the spatially flat FRW universe according to the ordinary version of the holographic dark energy model describing accelerated expansion of the universe, is reconstructed. Our model’s equation of state parameter will be obtain. We conclude that the holographic and Weyl gravity models can behave like phantom and quintessence models, whereas the equation of state parameter of the models can transit from quintessence state to phantom regime.