Structure formation in $f(R)$ gravity: A distinguishing probe between the dark energy and modified gravity

Abstract

In this work, we study the large scale structure formation in the modified gravity in the framework of Palatini formalism and compare the results with the equivalent smooth dark energy models as a tool to distinguish between these models. Through the inverse method, we reconstruct the dynamics of universe, modified gravity action and the structure formation indicators like the screened mass function and gravitational slip parameter. Consequently, we extract the matter density power spectrum for these two models in the linear regime and show that the modified gravity and dark energy models predictions are slightly different from each other at large scales. It is also shown that the growth index in the modified gravity unlike to the dark energy models is a scale dependent parameter. We also compare the results with those from the modified gravity in the metric formalism. The modification on the structure formation can also change the CMB spectrum at large scales however due to the cosmic variance it is hard to detect this signature. We show that a large number of SNIa data in the order of 2000 will enable us to reconstruct the modified gravity action with a suitable confidence level and test the cosmic acceleration models by the structure formation.

33 pages, 21 figures, accepted in JCAP

References in corpus (39)

• Dynamics of dark energy
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Disappearing cosmological constant in f(R) gravity
• Improved Dark Energy Constraints from ~100 New CfA Supernova Type Ia Light Curves
• Measuring the dark side (with weak lensing)
• Large Scale Structure as a Probe of Gravitational Slip
• Confirmation of general relativity on large scales from weak lensing and galaxy velocities
• Metric-affine f(R) theories of gravity
• Distinguishing Modified Gravity from Dark Energy
• Searching for modified growth patterns with tomographic surveys
• Observational Tests of Modified Gravity
• Dark Energy versus Modified Gravity
• Relativistic stars in f(R) gravity, and absence thereof
• Loop Quantum Cosmology: An Overview
• The matter power spectrum in f(R) gravity
• Weak Lensing Probes of Modified Gravity
• Cosmological Constraints on f(R) Acceleration Models
• Anisotropic Dark Energy: Dynamics of Background and Perturbations
• A no-go theorem for polytropic spheres in Palatini f(R) gravity
• The dispersion of growth of matter perturbations in f(R) gravity
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• The existence of relativistic stars in f(R) gravity
• Can higher curvature corrections cure the singularity problem in f(R) gravity?
• CMB and Matter Power Spectra of Early f(R) Cosmology in Palatini Formalism
• Curvature singularities, tidal forces and the viability of Palatini f(R) gravity
• Re-examination of Polytropic Spheres in Palatini f(R) Gravity
• How (Not) to Palatini
• Tracking quintessence by cosmic shear - Constraints from VIRMOS-Descart and CFHTLS and future prospects
• f(R) Gravity: From the Pioneer Anomaly to the Cosmic Acceleration
• Microscopic and Macroscopic Behaviors of Palatini Modified Gravity Theories
• Modified gravity with $f(R)=\sqrt{R^2-R_0^2}$
• How to Distinguish Dark Energy and Modified Gravity?
• Consistency of $f(R)=\sqrt{R^2-R_0^2}$ Gravity with the Cosmological Observations in Palatini Formalism
• Covariant Effective Action for Loop Quantum Cosmology from Order Reduction
• Power-law Parameterized Quintessence Model
• An Inverse $f(R)$ Gravitation for Cosmic Speed up, and Dark Energy Equivalent
• Observational tests of a two parameter power-law class modified gravity in Palatini formalism

Cited by in corpus (1)

• Hamiltonian Formulation of Palatini f(R) theories a la Brans-Dicke