CMB and Matter Power Spectra of Early f(R) Cosmology in Palatini Formalism

Abstract

We calculate in this article the CMB and matter power spectra of a class of early $f(R)$ cosmologies, which takes the form of $f(R)=R+{\lambda }_1{H}_0^2\text{exp}[R/({\lambda }_2{H}_0^2)]$. Unlike the late-time $f(R)$ cosmologies such as $f(R)=R+\alpha (-R{)}^{\beta }$ ($\beta <0$), the deviation from $\Lambda \text{CDM}$ of this model occurs at a higher redshift (thus the name \emph{Early $f(R)$ Cosmology}), and this important feature leads to rather different ISW effect and CMB spectrum. The matter power spectrum of this model is, at the same time, again very sensitive to the chosen parameters, and LSS observations such as SDSS should constrain the parameter space stringently. We expect that our results are applicable at least qualitatively to other models that produce $f(R)$ modification to GR at earlier times (\emph{e.g.}, redshifts $\mathcal{O}(10)\lesssim z\lesssim \mathcal{O}(1)$) than when dark energy begins to dominate -- such models are strongly disfavored by data on CMB and matter power spectra.

7 pages, 5 figures; accepted for publication in Phys. Rev. D

References in corpus (1)

• The matter power spectrum in f(R) gravity

Cited by in corpus (40)

• Beyond the Cosmological Standard Model
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Wormhole geometries in f(R) modified theories of gravity
• A discriminating probe of gravity at cosmological scales
• Extended Gravity Cosmography
• 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
• Observational Tests of Modified Gravity
• Does Bulk Viscosity Create a Viable Unified Dark Matter Model?
• f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
• Bouncing Cosmologies in Palatini $f(R)$ Gravity
• Cosmological evolution in exponential gravity
• Violation of the Equivalence Principle in Modified Theories of Gravity
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• Role of Tilted Congruence and $f(R)$ Gravity on Regular Compact Objects
• The behavior of $f(R)$ gravity in the solar system, galaxies and clusters
• Detecting a Lorentz-Violating Field in Cosmology
• The Cosmology of Ricci-Tensor-Squared Gravity in the Palatini Variational Approach
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Hamiltonian Formulation of Palatini f(R) theories a la Brans-Dicke
• 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
• Re-examination of Polytropic Spheres in Palatini f(R) Gravity
• Microscopic and Macroscopic Behaviors of Palatini Modified Gravity Theories
• Equivalence between Palatini and metric formalisms of f(R)-gravity by divergence free current
• Exploring stable models in $f(R;T;R_{\mu \nu }{T}^{\mu \nu })$ gravity
• $f(R)$ gravity theories in the Palatini Formalism constrained from strong lensing
• Gödel-type universes in Palatini f(R) gravity
• Scalar-tensor cosmology with R^{-1} curvature correction by Noether Symmetry
• Three-Point Correlations in f(R) Models of Gravity
• New class of hybrid metric-Palatini scalar-tensor theories of gravity
• Cosmology with Hu-Sawicki gravity in Palatini Formalism
• Correspondence between Jordan-Einstein frames and Palatini-metric formalisms
• Future dynamics in f(R) theories
• Testing Alternative Theories of Dark Matter with the CMB
• Structure formation in $f(R)$ gravity: A distinguishing probe between the dark energy and modified gravity
• Unified first law for traversable wormholes in non-minimal coupling of curvature and matter