Cosmology from non-minimal geometry-matter coupling
Abstract
We construct a cosmological model from the inception of the Friedmann-Lem\aitre-Robertson-Walker metric into the field equations of the f(R,Lm) gravity theory, with R being the Ricci scalar and Lm being the matter lagrangian density. The formalism is developed for a particular f(R,Lm) function, namely R/16π +(1+σ R)Lm, 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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