Tomography from the Next Generation of Cosmic Shear Experiments for Viable f(R) Models

Abstract

We present the cosmic shear signal predicted by two viable cosmological models in the framework of modified-action f(R) theories. We use f(R) models where the current accelerated expansion of the Universe is a direct consequence of the modified gravitational Lagrangian rather than Dark Energy (DE), either in the form of vacuum energy/cosmological constant or of a dynamical scalar field (e.g. quintessence). We choose Starobinsky's (St) and Hu & Sawicki's (HS) f(R) models, which are carefully designed to pass the Solar System gravity tests. In order to further support - or rule out - f(R) theories as alternative candidates to the DE hypothesis, we exploit the power of weak gravitational lensing, specifically of cosmic shear. We calculate the tomographic shear matrix as it would be measured by the upcoming ESA Cosmic Vision Euclid satellite. We find that in the St model the cosmic shear signal is almost completely degenerate with LCDM, but it is easily distinguishable in the HS model. Moreover, we compute the corresponding Fisher matrix for both the St and HS models, thus obtaining forecasts for their cosmological parameters. Finally, we show that the Bayes factor for cosmic shear will definitely favour the HS model over LCDM if Euclid measures a value larger than ~0.02 for the extra HS parameter n_HS.

26 pages, 6 figures, 2 tables; tomographic and Bayesian analyses updated and modified according to reviewer's suggestions; references updated

References in corpus (30)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Power Spectra and WMAP-Derived Parameters
• Disappearing cosmological constant in f(R) gravity
• Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
• Improved Dark Energy Constraints from ~100 New CfA Supernova Type Ia Light Curves
• Dark Energy
• A Parameterized Post-Friedmann Framework for Modified Gravity
• Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
• Non-linear evolution of f(R) cosmologies II: power spectrum
• Flowing with Time: a New Approach to Nonlinear Cosmological Perturbations
• Fourth order gravity: equations, history, and applications to cosmology
• Weak Lensing Probes of Modified Gravity
• On model selection forecasting, Dark Energy and modified gravity
• Non-linear Evolution of Matter Power Spectrum in Modified Theory of Gravity
• Probing dark energy with the shear-ratio geometric test
• Euclid Imaging Consortium Science Book
• Unified Dark Matter Scalar Field Models
• Euclid Assessment Study Report for the ESA Cosmic Visions
• Dark Energy in Practice
• 3D Photometric Cosmic Shear
• Non-linear weak lensing forecasts
• Measuring Unified Dark Matter with 3D Cosmic Shear
• Modified Gravity: the CMB, Weak Lensing and General Parameterisations
• Summary of the DUNE Mission Concept

Cited by in corpus (16)

• Cosmology and Fundamental Physics with the Euclid Satellite
• Cosmology and fundamental physics with the Euclid satellite
• Dark Energy
• Beyond $\Lambda$CDM: Problems, solutions, and the road ahead
• A parametrization of the growth index of matter perturbations in various Dark Energy models and observational prospects using a Euclid-like survey
• Distinguishing standard and modified gravity cosmologies with machine learning
• Detectability of Torsion Gravity via Galaxy Clustering and Cosmic Shear Measurements
• SKA Weak Lensing III: Added Value of Multi-Wavelength Synergies for the Mitigation of Systematics
• Disentangling dark energy and cosmic tests of gravity from weak lensing systematics
• Weak lensing peak count as a probe of f(R) theories
• Beyond $\Lambda$CDM with HI intensity mapping: robustness of cosmological constraints in the presence of astrophysics
• Future CMB ISW-Lensing bispectrum constraints on modified gravity in the Parameterized Post-Friedmann formalism
• An updated analysis of two classes of f(R) theories of gravity
• Isotropic universe with almost scale-invariant fourth-order gravity
• Hubble drift in Palatini $f(\mathcal{R})$-theories
• Growth of matter perturbations for realistic $F(R)$ models