Observational tests of a two parameter power-law class modified gravity in Palatini formalism

Abstract

{\bf{CONTEXT}}: In this work we propose a modified gravity action $f(R)=(R^n-R_0^n{)}^{1/n}$ with two free parameters of $n$ and $R_0$ and derive the dynamics of a universe for this action in the Palatini formalism. {\bf {AIM}}: We do a cosmological comparison of this model with observed data to find the best parameters of a model in a flat universe. {\bf{METHOD}}: To constrain the free parameters of model we use SNIa type Ia data in two sets of gold and union samples, CMB-shift parameter, baryon acoustic oscillation, gas mass fraction in cluster of galaxies, and large-scale structure data. {\bf {RESULT}}: The best fit from the observational data results in the parameters of model in the range of $n=0.98_{-0.08}^{+0.08}$ and ${\Omega }_M=0.25_{+0.1}^{-0.1}$ with one sigma level of confidence where a standard $\Lambda$CDM universe resides in this range of solution. PACS numbers: 04.50.+h, 95.36.+x, 98.80.-k

16 pages, 17 figures

References in corpus (66)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Final Results from the Hubble Space Telescope Key Project to Measure the Hubble Constant
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• The High-Z Supernova Search: Measuring Cosmic Deceleration and Global Cur vature of the Universe Using Type Ia Supernovae
• Properties of singularities in (phantom) dark energy universe
• The Cosmic Baryon Budget
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Constraints on dark energy from Chandra observations of the largest relaxed galaxy clusters
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• Scrutinizing Exotic Cosmological Models Using ESSENCE Supernova Data Combined with Other Cosmological Probes
• The Cosmology of Generalized Modified Gravity Models
• Constraining dark energy with SNe Ia and large-scale structure
• The Large Scale Structure of f(R) Gravity
• Reconciling dark energy models with f(R) theories
• Anisotropies in the Cosmic Microwave Background: An Analytic Approach
• Constraints on holographic dark energy from type Ia supernova observations
• One-loop f(R) gravity in de Sitter universe
• Modified gravity with $\ln R$ terms and cosmic acceleration
• Big-Bang Nucleosynthesis and the Baryon Density of the Universe
• Observational constraints on dark energy with generalized equations of state
• f(R) Gravity and scalar-tensor theory
• Distances, ages, and epoch of formation of globular clusters
• The Physics of Microwave Background Anisotropies
• Covariant conservation of energy momentum in modified gravities
• The Power of General Relativity
• Solar System constraints to general f(R) gravity
• LBDS 53W091: An Old red Galaxy at z=1.552
• Dynamics of Linear Perturbations in f(R) Gravity
• Cosmological dynamics of R^n gravity
• The White Dwarf Cooling Sequence of the Globular Cluster Messier 4
• CMB Observables and Their Cosmological Implications
• Accelerated Cosmological Models in Ricci squared Gravity
• Matter instability in modified gravity
• The (pseudo)issue of the conformal frame revisited
• Cosmological perturbations in the Palatini formulation of modified gravity
• The 2dF Galaxy Redshift Survey: The amplitudes of fluctuations in the 2dFGRS and the CMB, and implications for galaxy biasing
• Testing Gravity Against Early Time Integrated Sachs-Wolfe Effect
• Separating Dark Physics from Physical Darkness: Minimalist Modified Gravity vs. Dark Energy
• Modified-Source Gravity and Cosmological Structure Formation
• The Force of Gravity from a Lagrangian containing Inverse Powers of the Ricci Scalar
• Ghosts, Instabilities, and Superluminal Propagation in Modified Gravity Models
• A New Method to Estimate Cosmological Parameters Using Baryon Fraction of Clusters of Galaxies
• Discovery of an ionized Fe-K edge in the z=3.91 Broad Absorption Line Quasar APM 08279+5255 with XMM-Newton
• Quintessence and the Separation of CMB Peaks
• Cosmic Acceleration and Modified Gravitational Models
• Constraints on Dark Energy from Supernovae, Gamma Ray Bursts, Acoustic Oscillations, Nucleosynthesis and Large Scale Structure and the Hubble constant
• The Universal Deceleration and Angular Diameter Distances to Clusters of Galaxies
• Solar system constraints on R${}^n$ gravity
• The Lower Main Sequence and Mass Function of the Globular Cluster Messier 4
• Curvature scalar instability in f(R) gravity
• Quintessence reconstructed: new constraints and tracker viability
• Curvature driven acceleration : a utopia or a reality ?
• Modified gravity with $f(R)=\sqrt{R^2-R_0^2}$
• Consistency of $f(R)=\sqrt{R^2-R_0^2}$ Gravity with the Cosmological Observations in Palatini Formalism
• Cosmological perturbations in Palatini modified gravity
• On Galaxy-Cluster Sizes and Temperatures
• Theoretical Uncertainties in the Subgiant--Mass Age Relation and the Absolute Age of Omega Cen
• Accelerated expansion in modified gravity with a Yukawa-like term
• Power-law Parameterized Quintessence Model
• The prospects for constraining dark energy with future X-ray cluster gas mass fraction measurements
• Observational Constraints on a Variable Dark Energy Model
• An Inverse $f(R)$ Gravitation for Cosmic Speed up, and Dark Energy Equivalent

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• Observational Constraints on the Normal Branch of a Warped DGP Cosmology
• Simultaneous effect of Modified Gravity and Primordial Non-Gaussianity in Large Scale Structure Observations
• Peculiar velocity measurement in a clumpy universe
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