Towards a fully consistent parameterization of modified gravity

Abstract

There is a distinct possibility that current and future cosmological data can be used to constrain Einstein's theory of gravity on the very largest scales. To be able to do this in a model-independent way, it makes sense to work with a general parameterization of modified gravity. Such an approach would be analogous to the Parameterized Post-Newtonian (PPN) approach which is used on the scale of the Solar System. A few such parameterizations have been proposed and preliminary constraints have been obtained. We show that the majority of such parameterizations are only exactly applicable in the quasistatic regime. On larger scales they fail to encapsulate the full behaviour of typical models currently under consideration. We suggest that it may be possible to capture the additions to the `Parameterized Post-Friedmann' (PPF) formalism by treating them akin to fluid perturbations.

24 pages. Minor changes to match the published version - references added, comments added to sections 1 and 5

References in corpus (40)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Seventh Data Release of the Sloan Digital Sky Survey
• f(R) Theories Of Gravity
• Quantum Gravity at a Lifshitz Point
• The galileon as a local modification of gravity
• A 3% Solution: Determination of the Hubble Constant with the Hubble Space Telescope and Wide Field Camera 3
• Brane-World Gravity
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• The linear power spectrum of observed source number counts
• What galaxy surveys really measure
• A Parameterized Post-Friedmann Framework for Modified Gravity
• Measuring the dark side (with weak lensing)
• The pattern of growth in viable f(R) cosmologies
• General Relativistic Description of the Observed Galaxy Power Spectrum: Do We Understand What We Measure?
• Horava-Lifshitz gravity: a status report
• Bimetric MOND gravity
• Testing gravity with CAMB and CosmoMC
• Dark Energy versus Modified Gravity
• Current constraints on the cosmic growth history
• DGP Specteroscopy
• On the Growth of Perturbations as a Test of Dark Energy
• How to optimally parametrize deviations from General Relativity in the evolution of cosmological perturbations
• Cascading DGP
• Ghosts in the self-accelerating universe
• Constructing stabilized brane world models in five-dimensional Brans-Dicke theory
• Challenges to the DGP Model from Horizon-Scale Growth and Geometry
• Probing modifications of General Relativity using current cosmological observations
• On the unreasonable effectiveness of the post-Newtonian approximation in gravitational physics
• Constraining Dark Energy Anisotropic Stress
• Generalizing Galileons
• Eddington-Born-Infeld gravity and the large scale structure of the Universe
• On the growth of structure in theories with a dynamical preferred frame
• Eddington-Born-Infeld action for dark energy and dark matter
• Theoretical Priors On Modified Growth Parametrisations
• Confronting General Relativity with Further Cosmological Data
• Consistent cosmological modifications to the Einstein equations
• The linear growth rate of structure in Parametrized Post Friedmannian Universes
• Near-Horizon Solution for DGP Perturbations
• Perturbations In A Non-Uniform Dark Energy Fluid: Equations Reveal Effects of Modified Gravity and Dark Matter
• Einstein-Aether Theory

Cited by in corpus (80)

• Modified Gravity and Cosmology
• Cosmological Tests of Modified Gravity
• The 6dF Galaxy Survey: z \approx 0 measurement of the growth rate and sigma_8
• The Effective Field Theory of Dark Energy
• Holographic Dark Energy
• Testing General Relativity in Cosmology
• Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity
• Dark Energy Survey Year 1 Results: Constraints on Extended Cosmological Models from Galaxy Clustering and Weak Lensing
• Effective Field Theory of Cosmic Acceleration: an implementation in CAMB
• A unifying description of dark energy
• The Parameterized Post-Friedmann Framework for Theories of Modified Gravity: Concepts, Formalism and Examples
• Effective Field Theory of Cosmic Acceleration: constraining dark energy with CMB data
• Effective Description of Higher-Order Scalar-Tensor Theories
• Testing General Relativity with 21 cm intensity mapping
• Models of coupled dark matter to dark energy
• Observables and unobservables in dark energy cosmologies
• Effective Field Theory of Cosmological Perturbations
• A practical approach to cosmological perturbations in modified gravity
• The Observational Future of Cosmological Scalar-Tensor Theories
• The Parameterized Post-Friedmannian Framework for Interacting Dark Energy Theories
• Linear perturbations in Galileon gravity models
• Systematic simulations of modified gravity: symmetron and dilaton models
• Effective action approach to cosmological perturbations in dark energy and modified gravity
• The Novel Probes Project -- Tests of Gravity on Astrophysical Scales
• The phenomenological approach to modeling the dark energy
• Unraveling the effective fluid approach for $f(R)$ models in the subhorizon approximation
• The parameter space in Galileon gravity models
• Cosmological tests of General Relativity: a principal component analysis
• Systematic simulations of modified gravity: chameleon models
• Phenomenology of dark energy: exploring the space of theories with future redshift surveys
• Nonlinear Effective Theory of Dark Energy
• Consistent perturbations in an imperfect fluid
• Impact on the power spectrum of Screening in Modified Gravity Scenarios
• The BINGO Project I: Baryon Acoustic Oscillations from Integrated Neutral Gas Observations
• A general theory of linear cosmological perturbations: scalar-tensor and vector-tensor theories
• Relativistic effects in galaxy clustering in a parametrized post-Friedmann universe
• A general theory of linear cosmological perturbations: stability conditions, the quasistatic limit and dynamics
• Principal Component Analysis of Modified Gravity using Weak Lensing and Peculiar Velocity Measurements
• Weakening Gravity on Redshift-Survey Scales with Kinetic Matter Mixing
• Growth of Cosmic Structure
• Ambiguous Tests of General Relativity on Cosmological Scales
• $k$-evolution: a relativistic N-body code for clustering dark energy
• Structure Formation in Modified Gravity Scenarios
• Parameterized Post-Newtonian Cosmology
• Effective Field Theory of Dark Energy: a Dynamical Analysis
• Parametrized modified gravity constraints after Planck
• The BINGO telescope: a new instrument exploring the new 21-cm cosmology window
• Parameterizing dark sector perturbations via equations of state
• Exploring degeneracies in modified gravity with weak lensing
• Probing Modified Gravity Theories with ISW and CMB Lensing
• f(R) as a dark energy fluid
• The Parametrized Post-Newtonian-Vainshteinian Formalism
• Nonlinear cosmological consistency relations and effective matter stresses
• Cosmological perturbation theory in Generalized Einstein-Aether models
• Computing model independent perturbations in dark energy and modified gravity
• Do cosmological data rule out $f(\mathcal{R})$ with $w\ne -1$?
• Observable physical modes of modified gravity
• Parametrizing theories of gravity on large and small scales in cosmology
• 50 Years of Horndeski Gravity: Past, Present and Future
• A general theory of linear cosmological perturbations: bimetric theories
• Discrimination between Lambda-CDM, quintessence, and modified gravity models using wide area surveys
• Future CMB ISW-Lensing bispectrum constraints on modified gravity in the Parameterized Post-Friedmann formalism
• Constraining dark sector perturbations I: cosmic shear and CMB lensing
• Post-Newtonian $\gamma$-like parameters and the gravitational slip in scalar-tensor and $f(R)$ theories
• Constraining dark sector perturbations II: ISW and CMB lensing tomography
• The Parameterized Post-Newtonian-Vainshteinian formalism for the Galileon field
• Phi Zeta Delta: Growth of Perturbations in Parameterized Gravity for an Einstein-de Sitter Universe
• The Effective Fluid approach for Modified Gravity and its applications
• Simple numerical implementation of general dark energy models
• A first-order approach to conformal gravity
• Anti-symmetric clustering signals in the observed power spectrum
• Gravitational Slip parameter and Gravitational Waves in Einstein-Cartan theory
• The momentum constraint equation in Parameterised Post-Newtonian Cosmology
• A covariant approach to parameterised cosmological perturbations
• Revisiting metric perturbations in tensor-vector-scalar theory
• Baryon Acoustic Oscillations from Integrated Neutral Gas Observations: an instrument to observe the 21cm hydrogen line in the redshift range 0.13 $<$ z $<$ 0.45 -- status update
• CMB Anomalies from Imperfect Dark Energy: Confrontation with the Data
• Minimal parameterizations for modified gravity
• Momentum transfer models of interacting dark energy
• Cosmological perturbations in generalised dark Lagrangians