Gravitational and cosmological considerations based on the Finsler and Lagrange metric structures Original Research Article

In this work, we study Finslerian and Langrangian structures in Gravitational and Cosmological problems of an anisotropic perfect fluid. The wave vector of light rays is incorporated in the geometrical structure of the tangent bundle of a Finsler-Randers space–time. A Raychaudhuri equation is developed in the framework of a Finslerian tangent bundle in virtue of generalized expansion, shear and vorticity. Finally, the Einstein field equations and the energy conditions for a perfect fluid are given in our consideration.