Raychaudhuri equation in the Finsler-Randers spacetime and Generalized scalar-tensor theories
Abstract
In this work, we obtain the Raychaudhuri equations for various types of Finsler spaces as the Finsler-Randers (FR) space-time and in a more general geometrical structure of the space-time manifold which contains two fibres that are two scalars which represent inflaton fields φ(1), φ(2).In addition, the energy-conditions are studied in a FR cosmology and are correlated with FRW model. Finally an application of Raychaudhuri equation for the model M × \ φ(1) \ × \ φ(2) \ with M a FRW space is given.
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