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In the context of Finsler-Randers theory we consider, for a first time, thecosmological scenario of the varying vacuum. In particular, we assume theexistence of a cosmological fluid source described by an ideal fluid and thevarying vacuum terms. We determine the cosmological history of this model byperforming a detailed study on the dynamics of the field equations. Wedetermine the limit of General Relativity, while we find new eras in thecosmological history provided by the geometrodynamical terms provided by theFinsler-Randers theory.

Dynamics in Varying vacuum Finsler-Randers Cosmology