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 f(R,L_m) gravity theory, with R being the Ricci scalar and L_m being the matter lagrangian density. The formalism is developed for a particular f(R,L_m) function, namely R/16π+(1+σR)L_{m}, with σbeing 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

5 pages, 3 figures, Accepted version Fortschritte der physik

References in corpus (8)

• f(R,L_m) gravity
• Nonminimal coupling of perfect fluids to curvature
• Generalized curvature-matter couplings in modified gravity
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• The simplest non-minimal matter-geometry coupling in the $f(R,T)$ cosmology
• Stellar equilibrium configurations of white dwarfs in the $f(R,T)$ gravity
• Galactic rotation curves in modified gravity with non-minimal coupling between matter and geometry

Cited by in corpus (12)

• Late-time cosmology in $f(Q,L_m)$ gravity: Analytical solutions and observational fits
• Constraining $f(Q,L_m)$ gravity with bulk viscosity
• Observational analysis of late-time acceleration in $f(Q,L_m)$ gravity
• Geometric structures of Morris-Thorne wormhole metric in $f(R,L_m)$ gravity and energy conditions
• Modified cosmology in $f(Q,L_m)$ gravity
• Cosmic acceleration with bulk viscosity in an anisotropic $f(R,L_m)$ background
• Wormhole solutions under the effect of dark matter in $f(R,L_m)$ gravity
• Bouncing behavior in $f(R,L_m)$ gravity: Phantom crossing and energy conditions
• Energy conditions in $f(Q,L_m)$ gravity
• Constraining Parameters for the Accelerating Universe in $f(R,{\mathcal{L}}_m)$ Gravity
• Dynamical Systems Analysis of $f(R,L_m)$ Gravity Model
• Cosmologies in $f(R,{\mathcal{L}}_m)$ theory with non-minimal coupling between geometry and matter