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.

Cosmologies in f(R,  m ) theory with non-minimal coupling between geometry and matter

“…The astrophysical and other implications of such a theory have been examined in [38][39][40][41] with consequences for Neutron star and White Dwarf physics. Some cosmological aspects with specific choices of  m have been considered in [42][43][44][45][46][47]. Except for [43], the choice of the function f (R, L m ) is different from ours.…”

“…Some cosmological aspects with specific choices of  m have been considered in [42][43][44][45][46][47]. Except for [43], the choice of the function f (R, L m ) is different from ours. The ( )  f R, m theories have their own theoretical peculiarities that require careful examination.…”

Cosmic acceleration with bulk viscosity in an anisotropic f(R, L m ) background

“…Moreover, the f (R, L m ) modified theory of gravity does not satisfy the equivalence principle, and it is constrained by the solar system tests [42,43]. Nowadays, plenty of interesting cosmological implications of f (R, L m ) gravity theory started appearing in the literature; for instance, check references [44][45][46][47][48][49][50].…”

Geometric structures of Morris-Thorne wormhole metric in f(, ℒ m ) gravity and energy conditions

“…With this regard, in [40] we can see the constraints on ( )  f , m L gravity models from solar system experiments. In literature, one can see numerous works on curvature-matter coupling gravity theories [41][42][43][44][45][46][47][48].…”