ΛCDM suitably embedded in f(R) with a non-minimal coupling to matter

Abstract

In this work, we further study a metric modified theory of gravity which contains a non-minimal coupling to matter, more precisely, we assume two functions of the scalar curvature, $f_1$ and $f_2$, where the first one generalises the Hilbert-Einstein action, while the second couples to the matter Lagrangian. On the one hand, assuming a $\Lambda$CDM background, we calculate analytical solutions for the functions $f_1$ and $f_2$. We consider two setups: on the first one, we fix $f_2$ and compute $f_1$ and on the second one, we fix $f_1$ and compute $f_2$. Moreover, we do the analysis for two different energy density contents, a matter dominated universe and a general perfect fluid with a constant equation of state fuelling the universe expansion. On the other hand, we complete our study by performing a cosmographic analysis for $f_1$ and $f_2$. We conclude that the gravitational coupling to matter can drive the accelerated expansion of the universe.

arXiv comment10 pages, 2 figures. To appear in EPJC

References in corpus (32)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Planck 2015 results. XIII. Cosmological parameters
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• f(R) theories
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Planck 2018 results. X. Constraints on inflation
• Extra force in $f(R)$ modified theories of gravity
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Nonminimal coupling of perfect fluids to curvature
• Cosmography of f(R) gravity
• Measuring Cosmology with Supernovae
• Cosmographic bounds on the cosmological deceleration-acceleration transition redshift in $f(\mathcal{R})$ gravity
• On the LCDM Universe in f(R) gravity
• The Hubble series: Convergence properties and redshift variables
• Accelerated expansion from a non-minimal gravitational coupling to matter
• Matter density perturbations in modified gravity models with arbitrary coupling between matter and geometry
• Comprehensive cosmographic analysis by Markov Chain Method
• Cosmographic Hubble fits to the supernova data
• Mimicking dark matter through a non-minimal gravitational coupling with matter
• Cosmological perturbations in theories with non-minimal coupling between curvature and matter
• Gravitational waves in theories with a non-minimal curvature-matter coupling
• Modified Friedmann Equation from Nonminimally Coupled Theories of Gravity
• Cosmography beyond standard candles and rulers
• Cosmography of f(R) - brane cosmology
• Baryogenesis in Nonminimally Coupled $f(R)$ Theories
• Inflation in non-minimal matter-curvature coupling theories
• Revisiting f(R) gravity models that reproduce $\Lambda$CDM expansion
• Dynamical analysis of nonminimal coupled theories
• Visible and Dark Matter Profiles in a Non-Minimally Coupled Model

Cited by in corpus (3)

• On the uniqueness of $\Lambda$CDM-like evolution for homogeneous and isotropic cosmology in General Relativity
• On Scalar Cosmological Perturbations in Non-Minimally Coupled Weyl Connection Gravity
• Weak Field Limit of the Nonminimally Coupled Weyl Connection Gravity