On the LCDM Universe in f(R) gravity

Abstract

Several different explicit reconstructions of f(R) gravity are obtained from the background FRW expansion history. It is shown that the only theory whose Lagrangian is a simple function of the Ricci scalar R, that admits an exact LCDM expansion history is standard General Relativity with a positive cosmological constant and the only way to obtain this behaviour of the scale factor for more general functions of R is to add additional degrees of freedom to the matter sector.

7 pages, accepted for publication in PRD

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• Accelerating universe from F(T) gravity
• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
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• Dynamics of scalar perturbations in f(R,T) gravity
• On the stability of the cosmological solutions in f(R,G) gravity
• Gravitational collapse in f(R) theories
• On the $\Lambda$CDM Universe in $f(G)$ gravity
• Nonlocal Models of Cosmic Acceleration
• On the consistency of universally non-minimally coupled $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ theories
• Matter Bounce Loop Quantum Cosmology from $F(R)$ Gravity
• Modified Gauss-Bonnet gravity with Lagrange multiplier constraint as mimetic theory
• Observational Viability and Stability of Nonlocal Cosmology
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Is exponential gravity a viable description for the whole cosmological history?
• Cosmological wormholes in $f(R)$ theories of gravity
• Unraveling the effective fluid approach for $f(R)$ models in the subhorizon approximation
• The bounce universe history from unimodular $F(R)$ gravity
• Generalized $f(R,\varphi ,X)$ gravity and the late-time cosmic acceleration
• Reconstruction of $\Lambda$CDM Universe in $f(Q)$ Gravity
• Unimodular $F(R)$ Gravity
• $f(R)$ gravity solutions for evolving wormholes
• Large Scale Structure Constraints for a Class of f(R) Theories of Gravity
• LCDM Model in f(T) Gravity: Reconstruction, Thermodynamics and Stability
• On the non-attractive character of gravity in f(R) theories
• Buchdahl model in f(R, T) gravity: A comparative study with standard Einstein's gravity
• Nonlocal Cosmology II --- Cosmic acceleration without fine tuning or dark energy
• Effects of Spatial Curvature on the $f(R)$ Gravity Phase Space: no Inflationary Attractor?
• Reconstruction Procedure in Nonlocal Cosmological Models
• A Panorama of Viable $F(R)$ Gravity Dark Energy Models
• $\Lambda$CDM Bounce Cosmology without $\Lambda$CDM: the case of modified gravity
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• Reconstruction of Scalar Potentials in Modified Gravity Models
• Pre-Inflationary Bounce Effects on Primordial Gravitational Waves of $f(R)$ Gravity
• Superbounce and Loop Quantum Cosmology Ekpyrosis from Modified Gravity
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• Testing logarithmic corrections on $R^2$-exponential gravity by observational data
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• Constraint on $f(R)$ Gravity through the Redshift Space Distortion
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• Dark Energy and Equation of State Oscillations with Collisional Matter Fluid in Exponential Modified Gravity
• Reconstruction of $f(R)$ gravity models for an accelerated universe using Raychaudhuri equation
• A model independent approach to the study of $f(R)$ cosmologies with expansion histories close to $\Lambda$CDM
• Smoking guns of a bounce in modified theories of gravity through the spectrum of the gravitational waves
• Amplification of the Primordial Gravitational Waves Energy Spectrum by a Kinetic Scalar in $F(R)$ Gravity
• Cosmological Consequences of New Dark Energy Models in Einstein-Aether Gravity
• Effective Einstein Cosmological Spaces for Non-Minimal Modified Gravity
• Parameterizing scalar-tensor theories for cosmological probes
• Do cosmological data rule out $f(\mathcal{R})$ with $w\ne -1$?
• Testing $f(R)$ dark energy model with the large scale structure
• A comprehensive parametrization approach for the Hubble parameter in scalar field dark energy models
• Acceleration of the Universe in f(R) Gravity Models
• Black hole solutions in functional extensions of Born-Infeld gravity
• Cosmological reconstruction and $\Lambda$CDM universe in $f(Q,C)$ gravity
• Running of the Spectral Index and Inflationary Dynamics of $F(R)$ Gravity
• Investigating the Physical Properties of Traversable Wormholes in the Modified $f(R,T)$ Gravity
• $f(R)$ gravity modifications: from the action to the data
• Loop Quantum Cosmology Matter Bounce Reconstruction from $F(R)$ Gravity Using an Auxiliary Field
• Amplification of Primordial Gravitational Waves by a Geometrically Driven non-canonical Reheating Era
• Cosmological Einstein-Maxwell model with $g$-essence
• Superbounce and Loop Quantum Ekpyrotic Cosmologies from Modified Gravity: $F(R)$, $F(G)$ and $F(T)$ Theories
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• Breaking the cosmological background degeneracy by two-fluid perturbations in f(R) gravity
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• $f(R)$-Gravity Generated Post-inflationary Eras and their Effect on Primordial Gravitational Waves
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• $f(\bar{R},L(X))$-gravity in the context of dark energy with power law expansion and energy conditions
• f(T) Quantum Cosmology
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• On the uniqueness of $\Lambda$CDM-like evolution for homogeneous and isotropic cosmology in General Relativity
• Classical and quantum $f(R)$ cosmology: The big rip, the little rip and the little sibling of the big rip
• Do the Spirits Rise?
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• Irrotational-fluid cosmologies in fourth-order gravity
• Energy conditions in $f(Q,L_m)$ gravity
• ΛCDM suitably embedded in f(R) with a non-minimal coupling to matter
• A numerical approach to model independently reconstruct $f(R)$ functions through cosmographic data
• On Friedmann-Lema\^ıtre-Robertson-Walker cosmologies in non-standard gravity
• Reconstructing modified gravity with holographic vacuum energy density
• On analytical solutions of f(R) modified gravity theories in FLRW cosmologies
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• Reconstruction of $f(R)$ lagrangian from a massive scalar field
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