The matter power spectrum in f(R) gravity

Abstract

Modified gravity can be considered as an alternative to dark energy. In a generalized theory of gravity, the universe may accelerate while containing only baryonic and dark matter. We study, in particular, the evolution of matter fluctuations in f(R) models within the Palatini approach, and find that the resulting matter power spectrum is sensitive to a nonlinear dependence on the curvature scalar in the gravitational action. The constraints that arise from comparison to the form of the observed matter power spectrum tighten the previous constraints derived from background expansion by several orders of magnitude. Models in the allowed parameter space are practically indistinguishable from general relativity with a cosmological constant when the backround expansion is considered.

arXiv comment5 pages, 3 figures; v2: the published version

References in corpus (19)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• 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
• The 3D power spectrum of galaxies from the SDSS
• Dark Energy Dominance and Cosmic Acceleration in First Order Formalism
• 1/R Curvature Corrections as the Source of the Cosmological Acceleration
• The gravity lagrangian according to solar system experiments
• Consistent modified gravity: dark energy, acceleration and the absence of cosmic doomsday
• Palatini form of 1/R gravity
• Cosmological perturbations in the Palatini formulation of modified gravity
• Growth of perturbations in dark matter coupled with quintessence
• Accelerated Cosmological Models in First-Order Non-Linear Gravity
• Palatini Formulation of Modified Gravity with $\ln R$ Terms
• Constraining f(R) gravity in the Palatini formalism
• On the viability of the Palatini form of 1/R gravity
• Status of non-Riemannian cosmology
• Constraining the shape of the CMB: a Peak-by-Peak analysis
• The CMB spectrum in Cardassian models
• Combined constraints on Cardassian models from supernovae, CMB and large-scale structure observations

Cited by in corpus (124)

• Dynamics of dark energy
• 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
• f(R,T) gravity
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Beyond the Cosmological Standard Model
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Dark Energy
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Cosmological perturbations in f(T) gravity
• A discriminating probe of gravity at cosmological scales
• Extended Gravity Cosmography
• Covariant conservation of energy momentum in modified gravities
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• The Cosmology of Modified Gauss-Bonnet Gravity
• Limit to General Relativity in f(R) theories of gravity
• Cosmological Tests of Gravity
• Teleparallel Palatini theories
• Wormholes supported by hybrid metric-Palatini gravity
• Observational Tests of Modified Gravity
• Matter instability in modified gravity
• The (pseudo)issue of the conformal frame revisited
• Metric-Palatini gravity unifying local constraints and late-time cosmic acceleration
• Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints
• de Sitter space and the equivalence between f(R) and scalar-tensor gravity
• Testing Gravity Against Early Time Integrated Sachs-Wolfe Effect
• The role of energy conditions in $f(R)$ cosmology
• Solar System experiments do not yet veto modified gravity models
• Does Bulk Viscosity Create a Viable Unified Dark Matter Model?
• Hybrid metric-Palatini gravity
• Lemaitre-Tolman-Bondi model and accelerating expansion
• Modified gravity with R-matter couplings and (non-)geodesic motion
• f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
• The effect of inhomogeneous expansion on the supernova observations
• Cosmological Constraints on f(R) Acceleration Models
• Anisotropic Dark Energy: Dynamics of Background and Perturbations
• A viability criterion for modified gravity with an extra force
• Bouncing Cosmologies in Palatini $f(R)$ Gravity
• Cosmology of hybrid metric-Palatini f(X)-gravity
• A no-go theorem for polytropic spheres in Palatini f(R) gravity
• Violation of the Equivalence Principle in Modified Theories of Gravity
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• Covariant Effective Action for Loop Quantum Cosmology a la Palatini
• The phase space view of f(R) gravity
• Palatini formulation of modified gravity with a nonminimal curvature-matter coupling
• f(R) Gravity with Torsion: The Metric-Affine Approach
• Constraining Torsion with Gravity Probe B
• The behavior of $f(R)$ gravity in the solar system, galaxies and clusters
• Unifying Einstein and Palatini gravities
• The Cosmology of Ricci-Tensor-Squared Gravity in the Palatini Variational Approach
• The dynamics of metric-affine gravity
• Galactic rotation curves in hybrid metric-Palatini gravity
• The viability of theories with matter coupled to the Ricci scalar
• Isotropic and Anisotropic Bouncing Cosmologies in Palatini Gravity
• Hamiltonian Formulation of Palatini f(R) theories a la Brans-Dicke
• Scalar-Fluid theories: cosmological perturbations and large-scale structure
• Viable Palatini-f(R) cosmologies with generalized dark matter
• Constraints on f(R) Cosmology in the Palatini Formalism
• Dynamical Aspects of Generalized Palatini Theories of Gravity
• CMB and Matter Power Spectra of Early f(R) Cosmology in Palatini Formalism
• Tests of Gravity from Imaging and Spectroscopic Surveys
• Cosmological perturbations in theories with non-minimal coupling between curvature and matter
• Curvature singularities, tidal forces and the viability of Palatini f(R) gravity
• Re-examination of Polytropic Spheres in Palatini f(R) Gravity
• Thermodynamics in $f(R)$ gravity in the Palatini formalism
• The interior spacetimes of stars in Palatini f(R) gravity
• Spherical Collapse in f(R) Gravity
• f(R) gravity, torsion and non-metricity
• Accelerating Universe in Modified Theories of Gravity
• Black hole entropy in modified gravity models
• Accelerated Cosmological Models in Modified Gravity tested by distant Supernovae SNIa data
• Kinematic model-independent reconstruction of Palatini $f(R)$ cosmology
• The cosmic snap parameter in f(R) gravity
• Noether Charge and Black Hole Entropy in Modified Theories of Gravity
• Microscopic and Macroscopic Behaviors of Palatini Modified Gravity Theories
• Coupled three-form dark energy
• The dynamics of generalized Palatini Theories of Gravity
• Newton's constant in f(R,R_{μν}R^{μν},\Box R) theories of gravity and constraints from BBN
• Cosmological perturbations in Palatini modified gravity
• The cosmic jerk parameter in f(R) gravity
• Dark energy: investigation and modeling
• Hierarchical clustering in chameleon $f(R)$ gravity
• Exploring stable models in $f(R;T;R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Strong energy condition and the repulsive character of f(R) gravity
• $f(R)$ gravity theories in the Palatini Formalism constrained from strong lensing
• Cosmological phase space of generalized hybrid metric-Palatini theories of gravity
• Non-locality of the C- and D-theories
• Testing Modified Gravity with Cosmic Shear
• Constraints on f(R) cosmologies from strong gravitational lensing systems
• Bouncing Palatini cosmologies and their perturbations
• Three-Point Correlations in f(R) Models of Gravity
• Observational constraints on Starobinsky $f(R)$ cosmology from cosmic expansion and structure growth data
• Homogeneous cosmologies in generalized modified gravity
• Thick brane structures in generalized hybrid metric-Palatini gravity
• Cosmology with Hu-Sawicki gravity in Palatini Formalism
• Probing modified gravity theories with the Sandage-Loeb test
• Cosmographic constraints on a class of Palatini f(R) gravity
• Future dynamics in f(R) theories
• Test of hybrid metric-Palatini f(R)-gravity in binary pulsars
• Indistinguishable Macroscopic Behaviour of Palatini Gravities and General Relativity
• Homogeneous Gödel-type solutions in hybrid metric-Palatini gravity
• Strange stars in $f(R)$ theories of gravity in the Palatini formalism
• Testing Alternative Theories of Dark Matter with the CMB
• Cosmological Consequences of Exponential Gravity in Palatini Formalism
• Structure formation in $f(R)$ gravity: A distinguishing probe between the dark energy and modified gravity
• Cosmological signature change in Cartan Gravity with dynamical symmetry breaking
• On Shapiro time delay in massive scalar-tensor theories
• Observational constraints on the braneworld model with brane-bulk energy exchange
• Thin accretion disk signatures in hybrid metric-Palatini gravity
• Binary systems in Palatini-f(R) gravity
• Gravitomagnetic effects in Kerr-de Sitter space-time
• Dynamical reconstruction of the $\Lambda$CDM model in hybrid metric-Palatini gravity
• Cosmography and the redshift drift in Palatini $f(\mathcal{R})$ theories
• Modified gravity with disappearing cosmological constant
• Large-scale structure power spectrum from scalar-tensor gravity
• Extended Gravity Constraints at Different Scales
• Gravitational wave propagation in generalized hybrid metric-Palatini gravity
• Dark Energy as a Relic of the Vacuum-Energy Cancellation?
• Gravitational waveforms from inspiral compact binaries in Hybrid metric-Palatini gravity
• Cosmological and astrophysical applications of modified theories of gravity
• Scalar-field potential for viable models in $f(R)$ theory