The linear growth rate of structure in Parametrized Post Friedmannian Universes

Abstract

A possible solution to the dark energy problem is that Einstein's theory of general relativity is modified. A suite of models have been proposed that, in general, are unable to predict the correct amount of large scale structure in the distribution of galaxies or anisotropies in the Cosmic Microwave Background. It has been argued, however, that it should be possible to constrain a general class of theories of modified gravity by focusing on properties such as the growing mode, gravitational slip and the effective, time varying Newton's constant. We show that assuming certain physical requirements such as stability, metricity and gauge invariance, it is possible to come up with consistency conditions between these various parameters. In this paper we focus on theories which have, at most, 2nd derivatives in the metric variables and find restrictions that shed light on current and future experimental constraints without having to resort to a (as yet unknown) complete theory of modified gravity. We claim that future measurements of the growth of structure on small scales (i.e. from 1-200 h^{-1} Mpc) may lead to tight constraints on both dark energy and modified theories of gravity.

15 Pages, 11 Figures

References in corpus (43)

• Dynamics of dark energy
• f(R) Theories Of Gravity
• 4D Gravity on a Brane in 5D Minkowski Space
• Relativistic gravitation theory for the MOND paradigm
• Cluster Abundance Constraints on Quintessence Models
• Cosmic Growth History and Expansion History
• Conditions for the cosmological viability of f(R) dark energy models
• A test of the nature of cosmic acceleration using galaxy redshift distortions
• The Relation between Physical and Gravitational Geometry
• Structure Formation with Generalized Dark Matter
• A Parameterized Post-Friedmann Framework for Modified Gravity
• A discriminating probe of gravity at cosmological scales
• Dark Energy Anisotropic Stress and Large Scale Structure Formation
• Confirmation of general relativity on large scales from weak lensing and galaxy velocities
• Probing dark energy perturbations: the dark energy equation of state and speed of sound as measured by WMAP
• Modifying gravity with the Aether: an alternative to Dark Matter
• Distinguishing Modified Gravity from Dark Energy
• Vector Field Models of Inflation and Dark Energy
• Looking for $\Lambda$ with the Rees-Sciama Effect
• Large Scale Cosmic Microwave Background Anisotropies and Dark Energy
• Bimetric MOND gravity
• On the Growth of Perturbations as a Test of Dark Energy
• The Tensor-Vector-Scalar theory and its cosmology
• Self-Consistent Cosmological Simulations of DGP Braneworld Gravity
• Some remarks on the notions of general covariance and background independence
• A cosmic vector for dark energy
• Parametrized Post-Friedmann Signatures of Acceleration in the CMB
• Generalizing TeVeS Cosmology
• Constraining Dark Energy Anisotropic Stress
• Vector Curvaton with varying Kinetic Function
• Lensing at cosmological scales: a test of higher dimensional gravity
• Eddington-Born-Infeld gravity and the large scale structure of the Universe
• Eddington-Born-Infeld action for dark energy and dark matter
• Constraining Lorentz violation with cosmology
• Parameterizing the Effect of Dark Energy Perturbations on the Growth of Structures
• Difficulties Distinguishing Dark Energy from Modified Gravity via Redshift Distortions
• Consistent cosmological modifications to the Einstein equations
• Einstein's Theory of Gravity and the Problem of Missing Mass
• A note on bigravity and dark matter
• A Multi-Parameter Investigation of Gravitational Slip
• Plebanski gravity without the simplicity constraints
• Events and observables in generally invariant spacetime theories
• Coordinates, observables and symmetry in relativity

Cited by in corpus (47)

• Modified Gravity and Cosmology
• Cosmology and Fundamental Physics with the Euclid Satellite
• Cosmology and fundamental physics with the Euclid satellite
• Beyond $\Lambda$CDM: Problems, solutions, and the road ahead
• Testing General Relativity in Cosmology
• Dark Energy Survey Year 1 Results: Constraints on Extended Cosmological Models from Galaxy Clustering and Weak Lensing
• Testing gravity with CAMB and CosmoMC
• A Unified Description of Screened Modified Gravity
• Neutron Stars in f(R) Gravity with Perturbative Constraints
• CFHTLenS: Testing the Laws of Gravity with Tomographic Weak Lensing and Redshift Space Distortions
• Cosmological Tests of Gravity
• Linear perturbations in Galileon gravity models
• Systematic simulations of modified gravity: symmetron and dilaton models
• Towards a fully consistent parameterization of modified gravity
• Matching current observational constraints with nonminimally coupled dark energy
• The phenomenological approach to modeling the dark energy
• Testing General Relativity at Cosmological Scales: Implementation and Parameter Correlations
• Cosmological tests of General Relativity: a principal component analysis
• Scattering of Dark Matter and Dark Energy
• Systematic simulations of modified gravity: chameleon models
• Cosmological structure formation with clustering quintessence
• KiDS+2dFLenS+GAMA: Testing the cosmological model with the $E_{\mathrm{G}}$ statistic
• Dark Matter properties through cosmic history
• The growth index of matter perturbations and modified gravity
• Ambiguous Tests of General Relativity on Cosmological Scales
• Figures of merit and constraints from testing General Relativity using the latest cosmological data sets including refined COSMOS 3D weak lensing
• Probing non-standard gravity with the growth index: a background independent analysis
• Dipolar modulation in the size of galaxies: The effect of Doppler magnification
• Direct detection of the kinetic Sunyaev-Zel'dovich effect in galaxy clusters
• Exact nonlinear inhomogeneities in $\Lambda$CDM cosmology
• Exploring degeneracies in modified gravity with weak lensing
• Testing gravity with $E_G$: mapping theory onto observations
• Testing gravity with galaxy-galaxy lensing and redshift-space distortions using CFHT-Stripe 82, CFHTLenS and BOSS CMASS datasets
• Consistency check of ΛCDM phenomenology
• Signatures of Modified Gravity on the 21-cm Power Spectrum at Reionisation
• Model Independent Tests of Cosmic Gravity
• Galaxy Clustering in 3D and Modified Gravity Theories
• The impact of the Universe's expansion rate on constraints on modified growth of structure
• A new approach to cosmological perturbations in f(R) models
• Phi Zeta Delta: Growth of Perturbations in Parameterized Gravity for an Einstein-de Sitter Universe
• The Dark Energy Cosmic Clock: A New Way to Parametrise the Equation of State
• Interpreting Internal Consistency of DES Measurements
• Revisiting metric perturbations in tensor-vector-scalar theory
• CMB Anomalies from Imperfect Dark Energy: Confrontation with the Data
• Probing gravity with the DES-CMASS sample and BOSS spectroscopy
• Fullshape power spectrum for the Symmetron modified gravity model
• Implications of a high growth index on the variation of $G$