Cosmology from Non‐Minimal Geometry‐Matter Coupling

Abstract We construct a cosmological model from the inception of the Friedmann‐Lemâitre‐Robertson‐Walker metric into the field equations of the gravity theory, with R being the Ricci scalar and being the matter lagrangian density. The formalism is developed for a particular function, namely , with σ being a constant that carries the geometry‐matter coupling. Our solutions are remarkably capable of evading the Big‐Bang singularity as well as predict the cosmic acceleration with no need for the cosmological constant, but simply as a consequence of the geometry‐matter coupling terms in the Friedmann‐like equations.

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