Consistency test of general relativity from large scale structure of the Universe

Abstract

We construct a consistency test of General Relativity (GR) on cosmological scales. This test enables us to distinguish between the two alternatives to explain the late-time accelerated expansion of the universe, that is, dark energy models based on GR and modified gravity models without dark energy. We derive the consistency relation in GR which is written only in terms of observables - the Hubble parameter, the density perturbations, the peculiar velocities and the lensing potential. The breakdown of this consistency relation implies that the Newton constant which governs large-scale structure is different from that in the background cosmology, which is a typical feature in modified gravity models. We propose a method to perform this test by reconstructing the weak lensing spectrum from measured density perturbations and peculiar velocities. This reconstruction relies on Poisson's equation in GR to convert the density perturbations to the lensing potential. Hence any inconsistency between the reconstructed lensing spectrum and the measured lensing spectrum indicates the failure of GR on cosmological scales. The difficulties in performing this test using actual observations are discussed.

7 pages, 1 figure

References in corpus (51)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• 4D Gravity on a Brane in 5D Minkowski Space
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Coupled Quintessence
• An analytic model for the spatial clustering of dark matter haloes
• Weak Gravitational Lensing of the CMB
• The 2dF Galaxy Redshift Survey: The bias of galaxies and the density of the Universe
• The Large Scale Structure of f(R) Gravity
• Cross-correlation Tomography: Measuring Dark Energy Evolution with Weak Lensing
• A Parameterized Post-Friedmann Framework for Modified Gravity
• Measuring the dark side (with weak lensing)
• A discriminating probe of gravity at cosmological scales
• Dark Energy from structure: a status report
• Quintessence without scalar fields
• Probing Newton's Constant on Vast Scales: DGP Gravity, Cosmic Acceleration and Large Scale Structure
• Distinguishing Modified Gravity from Dark Energy
• A general test of the Copernican Principle
• Joint Galaxy-Lensing Observables and the Dark Energy
• Observational Tests of Modified Gravity
• The bispectrum of galaxies from high-redshift galaxy surveys: primordial non-Gaussianity and non-linear galaxy bias
• Probing Cosmic Acceleration Beyond the Equation of State: Distinguishing between Dark Energy and Modified Gravity Models
• Structure formation in the DGP cosmological model
• Dark Energy versus Modified Gravity
• Differentiating between Modified Gravity and Dark Energy
• Large-scale bias in the Universe: bispectrum method
• Time drift of cosmological redshifts as a test of the Copernican principle
• On the Growth of Perturbations as a Test of Dark Energy
• Forecasting Cosmological Constraints from Redshift Surveys
• The acceleration of the universe and the physics behind it
• A Test of the Copernican Principle
• Weak lensing in scalar-tensor theories of gravity
• Two Windows on Acceleration and Gravitation: Dark Energy or New Gravity?
• Geocentrism reexamined
• Next Generation Redshift Surveys and the Origin of Cosmic Acceleration
• Is Modified Gravity Required by Observations? An Empirical Consistency Test of Dark Energy Models
• The Three-Point Correlation Function of Luminous Red Galaxies in the Sloan Digital Sky Survey
• Lensing at cosmological scales: a test of higher dimensional gravity
• The cosmological constant and dark energy in braneworlds
• Structure formation in modified gravity models alternative to dark energy
• Weak lensing in generalized gravity theories
• The Evolution of Bias - Generalized
• Cosmological perturbations in the DGP braneworld: numeric solution
• Probing decisive answers to dark energy questions from cosmic complementarity and lensing tomography
• Spherical collapse in modified gravity with the Birkhoff-theorem
• A Consistency Relation in Cosmology
• Galaxy-CMB Cross-Correlation as a Probe of Alternative Models of Gravity
• Large Scale Structure Formation of Normal Branch in DGP Brane World Model
• A Cosmological Test of Standard Gravity by Weak Lensing

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• f(R) theories
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• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: measurements of the growth of structure and expansion rate at z=0.57 from anisotropic clustering
• Reconstructing the history of structure formation using redshift distortions
• Towards an accurate model of the redshift space clustering of halos in the quasilinear regime
• Effective gravitational couplings for cosmological perturbations in the most general scalar-tensor theories with second-order field equations
• Effective Field Theory of Cosmic Acceleration: an implementation in CAMB
• A Unified Description of Screened Modified Gravity
• Generation of Vorticity and Velocity Dispersion by Orbit Crossing
• Current constraints on the cosmic growth history
• Testing General Relativity with Current Cosmological Data
• Effective Field Theory of Cosmic Acceleration: constraining dark energy with CMB data
• Probing modifications of General Relativity using current cosmological observations
• Self-Consistent Cosmological Simulations of DGP Braneworld Gravity
• Non-linear Evolution of Matter Power Spectrum in Modified Theory of Gravity
• Dynamical Masses in Modified Gravity
• Matter perturbations in Galileon cosmology
• Density perturbations in general modified gravitational theories
• Evolution of linear cosmological perturbations and its observational implications in Galileon-type modified gravity
• Velocities as a probe of dark sector interactions
• The phenomenological approach to modeling the dark energy
• Testing General Relativity using the Environmental Dependence of Dark Matter Halos
• Complementarity of Weak Lensing and Peculiar Velocity Measurements in Testing General Relativity
• Theoretical Priors On Modified Growth Parametrisations
• Conformal invariance of curvature perturbation
• Tidal alignments as a contaminant of redshift space distortions
• Tests of redshift-space distortions models in configuration space for the analysis of the BOSS final data release
• Chameleon dark energy models with characteristic signatures
• Distribution function approach to redshift space distortions. Part II: N-body simulations
• Astrophysical Tests of Modified Gravity: A Screening Map of the Nearby Universe
• Testing Gravity Using Large-Scale Redshift-Space Distortions
• Distribution function approach to redshift space distortions, Part III: halos and galaxies
• The Linear Growth of Structure in the R_h=ct Universe
• Reconstructing teleparallel gravity with cosmic structure growth and expansion rate data
• Testing general relativity with the multipole spectra of the SDSS luminous red galaxies
• Dark energy: investigation and modeling
• Galaxy power spectrum in redshift space: combining perturbation theory with the halo model
• Constraint on the cosmological f(R) model from the multipole power spectrum of the SDSS luminous red galaxy sample and prospects for a future redshift survey
• Tests of General Relativity on Astrophysical Scales
• Weak lensing predictions for modified gravities at non-linear scales
• A step towards testing general relativity using weak gravitational lensing and redshift surveys
• Large-Scale Structure in Brane-Induced Gravity I. Perturbation Theory
• Characterizing the linear growth rate of cosmological density perturbations in an f(R) model
• Searching for scalar gravitational interactions in current and future cosmological data
• How to Falsify the GR+LambdaCDM Model with Galaxy Redshift Surveys
• Constraints on massive vector dark energy models from integrated Sachs-Wolfe-galaxy cross-correlations
• Nonlinear cosmological consistency relations and effective matter stresses
• A novel null test for the $\Lambda$CDM model with growth-rate data
• Disentangling dark energy and cosmic tests of gravity from weak lensing systematics
• Measuring Coherent Motions in the Universe
• The Clustering of Galaxies in the Completed SDSS-III Baryon Oscillation Spectroscopic Survey: Cosmic Flows and Cosmic Web from Luminous Red Galaxies
• Distinguishing general relativity from Chern-Simons gravity using gravitational wave polarizations
• Bayesian cosmic density field inference from redshift space dark matter maps
• Observable physical modes of modified gravity
• Signatures of Modified Gravity on the 21-cm Power Spectrum at Reionisation
• Indistinguishability of Warm Dark Matter, Modified Gravity, and Coupled Cold Dark Matter
• Discrimination between Lambda-CDM, quintessence, and modified gravity models using wide area surveys
• Bayesian redshift-space distortions correction from galaxy redshift surveys
• Statistical Determination of Bulk Flow Motions
• Low-energy modified gravity signatures on the large-scale structures
• TASI Lectures on Cosmic Acceleration
• Measuring redshift-space distortions with future SKA surveys
• The Distinguishability of Interacting Dark Energy from Modified Gravity
• Massive Gravity wrapped in the Cosmic Web
• Chasing Unbiased Spectra of the Universe
• Dark energy, gravitation and the Copernican principle
• New measures to test modified gravity cosmologies
• Direct Determination of Expansion History Using Redshift Distortions