Cosmological evolutions in Tsujikawa model of $f(R)$ Gravity

Abstract

We concentrate on the cosmological properties in the Tsujikawa model (TM) of viable $f(R)$ gravity with the dynamical background evolution and linear perturbation theory by using the CosmoMC package. We study the constraints of the cosmological variables along with the model parameter from the current observational data. In particular, we show that the matter density fluctuation is suppressed and the constraint of the neutrino mass sum is relaxed in the TM, which are similar to other viable $f(R)$ models. In addition, we discuss the parameters of the deceleration and equation of state for dark energy in the TM and compare them with those in the $\Lambda$CDM model.

arXiv comment15 pages, 8 figures, accepted publication in Physics of the Dark Universe

References in corpus (32)

• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• Efficient Computation of CMB anisotropies in closed FRW models
• f(R) theories
• Cosmological Perturbation Theory in the Synchronous vs. Conformal Newtonian Gauge
• Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges
• Disappearing cosmological constant in f(R) gravity
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Dark Energy
• A discriminating probe of gravity at cosmological scales
• Dynamics of Linear Perturbations in f(R) Gravity
• Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
• ECOSMOG: An Efficient Code for Simulating Modified Gravity
• Testing gravity with CAMB and CosmoMC
• Dark energy in Horndeski theories after GW170817: A review
• Modified Gravity-GADGET: A new code for cosmological hydrodynamical simulations of modified gravity models
• Effective Field Theory of Cosmic Acceleration: constraining dark energy with CMB data
• A New Perspective on Cosmic Coincidence Problems
• Cosmological evolution in exponential gravity
• ISIS: a new N-body cosmological code with scalar fields based on RAMSES. Code presentation and application to the shapes of clusters
• The behavior of $f(R)$ gravity in the solar system, galaxies and clusters
• Modeling halo mass functions in chameleon f(R) gravity
• CMB and Matter Power Spectra of Early f(R) Cosmology in Palatini Formalism
• Constraining $f(R)$ gravity by the Large Scale Structure
• Generic feature of future crossing of phantom divide in viable $f(R)$ gravity models
• Constraints on $f(R)$ theories of gravity from GW170817
• Gravitational Waves in Viable f(R) Models
• Background cosmological dynamics in $f(R)$ gravity and observational constraints
• Matter Power Spectra in Viable $f(R)$ Gravity Models with Massive Neutrinos
• Singularity phenomena in viable f(R) gravity
• Matter Power Spectra in Viable $f(R)$ Gravity Models with Dynamical Background
• Constraints on the Combined Models with $R^{2-q}$ Inflation and Viable $f(R)$ Dark Energy

Cited by in corpus (7)

• Tideless Traversable Wormholes surrounded by cloud of strings in $f(R)$ gravity
• Quasinormal modes, thermodynamics and shadow of black holes in Hu-Sawicki f(R) gravity theory
• Cosmological Constraints on Non-flat Exponential $f(R)$ Gravity
• Sub-Planckian scale and limits for $f(R)$ models
• Leptogenesis in exponential $f(R)$ gravity model
• Cosmological constraints on viable $f(R)$ models using weak lensing
• Investigating the effects of gravitational lensing by Hu-Sawicki $\mathbf{f}(\mathbf{R})$ gravity black holes