Viability of f(R) Theories with Additional Powers of Curvature

Abstract

We consider a modified gravity theory, f(R)=R-a/R^n+bR^m, in the metric formulation, which has been suggested to produce late time acceleration in the Universe, whilst satisfying local fifth-force constraints. We investigate the parameter range for this theory, considering the regimes of early and late-time acceleration, Big Bang Nucleosynthesis and fifth-force constraints. We conclude that it is difficult to find a unique range of parameters for consistency of this theory.

arXiv commentReplaced to match version published in Phys. Rev. D. - corrected references and minor typos. 26 pages, revtex, 10 eps figures, 1 diagram

References in corpus (24)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Cosmological Results from High-z Supernovae
• Chameleon Cosmology
• Accelerated Universe from Gravity Leaking to Extra Dimensions
• Tests of the Gravitational Inverse-Square Law
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• 1/R gravity and Scalar-Tensor Gravity
• The Cosmology of Generalized Modified Gravity Models
• Cardassian Expansion: a Model in which the Universe is Flat, Matter Dominated, and Accelerating
• One-loop f(R) gravity in de Sitter universe
• Modified gravity with $\ln R$ terms and cosmic acceleration
• Consistent modified gravity: dark energy, acceleration and the absence of cosmic doomsday
• Scalar-Tensor Gravity and Quintessence
• Entropy and universality of Cardy-Verlinde formula in dark energy universe
• Higher order gravity theories and scalar tensor theories
• f(R) gravity theory and CMBR constraints
• Cosmic Acceleration and Modified Gravitational Models
• BBN For Pedestrians
• Modified gravity and the stability of de Sitter space
• The Big-Bang Nucleosynthesis Limit to the Number of Neutrino Species
• One-loop f(R) Gravitational Modified Models

Cited by in corpus (109)

• 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
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Conditions for the cosmological viability of f(R) dark energy models
• Are f(R) dark energy models cosmologically viable ?
• Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Constraining f(R) Gravity as a Scalar Tensor Theory
• f(R) Gravity and Chameleon Theories
• Dynamics of Linear Perturbations in f(R) Gravity
• Energy conditions in f(R)-gravity
• Phantom crossing, equation-of-state singularities, and local gravity constraints in f(R) models
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Matter instability in modified gravity
• The (pseudo)issue of the conformal frame revisited
• The Dilaton and Modified Gravity
• Relativistic stars in f(R) gravity, and absence thereof
• On the LCDM Universe in f(R) gravity
• f(R) actions, cosmic acceleration and local tests of gravity
• Modified gravity with R-matter couplings and (non-)geodesic motion
• f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
• Collapsing spherical stars in f(R) gravity
• Constraints on scalar-tensor models of dark energy from observational and local gravity tests
• Cosmological Constraints on f(R) Acceleration Models
• A viability criterion for modified gravity with an extra force
• The nonlinear matter and velocity power spectra in f(R) gravity
• Aspects of cosmological expansion in F(R) gravity models
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• The phase space view of f(R) gravity
• Dark energy, inflation and dark matter from modified F(R) gravity
• Initial and final de Sitter universes from modified $f(R)$ gravity
• Can higher curvature corrections cure the singularity problem in f(R) gravity?
• The Cosmology of Ricci-Tensor-Squared Gravity in the Palatini Variational Approach
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Neutrino Dark Energy -- Revisiting the Stability Issue
• Power-law cosmic expansion in f(R) gravity models
• Can f(R) Modified Gravity Theories Mimic a LCDM Cosmology?
• On the co-existence of matter dominated and accelerating solutions in f(G)-gravity
• Theory of gravitation theories: a no-progress report
• The viability of theories with matter coupled to the Ricci scalar
• Delicate f(R) gravity models with disappearing cosmological constant and observational constraints on the model parameters
• Curvature scalar instability in f(R) gravity
• Dynamics of f(R)-cosmologies containing Einstein static models
• Reconstruction of the Scalar-Tensor Lagrangian from a LCDM Background and Noether Symmetry
• The Cauchy problem of f(R) gravity
• Accelerating Universe in Modified Theories of Gravity
• Dynamical systems analysis of anisotropic cosmologies in $R^n$-gravity
• Black hole entropy in modified gravity models
• 6+1 lessons from f(R) gravity
• The cosmic snap parameter in f(R) gravity
• New interactions in the dark sector mediated by dark energy
• Large Scale Structure Constraints for a Class of f(R) Theories of Gravity
• Latest supernovae constraints on f(R) cosmologies
• Microscopic and Macroscopic Behaviors of Palatini Modified Gravity Theories
• Chameleon scalar fields in relativistic gravitational backgrounds
• Stability Analysis in Tachyonic Potential Chameleon cosmology
• Revisiting chameleon gravity - thin-shells and no-shells with appropriate boundary conditions
• Metric gravity theories and cosmology. I. Physical interpretation and viability
• Buchdahl-Bondi limit in modified gravity: Packing extra effective mass in relativistic compact stars
• Hierarchical clustering in chameleon $f(R)$ gravity
• Attractors, Statefinders and Observational Measurement for Chameleonic Brans--Dicke Cosmology
• $f(R,T)=f(R)+\lambda T$ gravity models as alternatives to cosmic acceleration
• Energy conditions constraints on a class of f(R)-gravity
• Cosmological dynamics of fourth order gravity: A compact view
• Standard Cosmological Evolution in a Wide Range of f(R) Models
• Stability analysis and Observational Measurement in Chameleonic Generalised Brans--Dicke Cosmology
• Compactifying the state space for alternative theories of gravity
• A new approach in stability analysis: case study: tachyon cosmology with non-minimally coupled scalar field-matter
• Homogeneous cosmologies in generalized modified gravity
• The dynamical viability of scalar-tensor gravity theories
• Viability of Noether symmetry of F(R) theory of gravity
• Cosmological Large-scale Structures beyond Linear Theory in Modified Gravity
• Future dynamics in f(R) theories
• Reconstructing cosmic acceleration from modified and non-minimal gravity: The Yang-Mills case
• Modified theory of gravity and the history of cosmic evolution
• Early Modified Gravity: Implications for Cosmology
• Effects of CDTT Model on the Dynamical Instability of Cylindrically Symmetric Collapsing Stars
• Phase-space of flat Friedmann-Robertson-Walker models with both a scalar field coupled to matter and radiation
• Modified gravity with an exponential function of curvature
• Why Noether symmetry of F(R) theory yields three-half power law?
• Power-law solutions and accelerated expansion in scalar-tensor theories
• Cosmic acceleration and $f(R)$ theory: perturbed solution in a matter FLRW model
• The study of Kantowski-Sachs perfect fluid cosmological model in modified gravity
• 1/R multidimensional gravity with form-fields: stabilization of extra dimensions, cosmic acceleration and domain walls
• Constraints on a $f(R)$ gravity dark energy model with early scaling evolution
• Reconstructing modified gravity with holographic vacuum energy density
• On Friedmann-Lema\^ıtre-Robertson-Walker cosmologies in non-standard gravity
• Scalar-tensor extension of the $\Lambda$CDM model
• Qualitative evolution in f(R) cosmologies
• Investigation of Bouncing Universe and Phantom Crossing in Modified Gravity Coupled with Weyl Tensor and its Reconstruction
• Stability analysis and observational constraints in scalar tensor theory
• Inflation in non-local hybrid metric-Palatini gravity
• Modified gravity with disappearing cosmological constant
• Implications of Dynamical Dark Energy in the expansion of the Universe and the Structure Formation
• Observational constraints in scalar tensor theory with tachyonic potential
• Matter Creation Cosmologies and Accelerated Expansion
• Is Asymptotically Weyl-Invariant Gravity Viable?
• Constraints on scalar-tensor theories from observations
• Modified Gravity in the framework of holographic dark energy
• A Viable model for modified gravity
• Energy Conditions in Palatini Approach to Modified $f(R)$ Gravity
• Scalar-field potential for viable models in $f(R)$ theory
• A Falsifiable Alternative to General Relativity