What can Cosmology tell us about Gravity? Constraining Horndeski with Sigma and Mu

Abstract

Phenomenological functions $\Sigma$ and $\mu$ (also known as $G_{\mathrm{light}}/G$ and $G_{\mathrm{matter}}/G$) are commonly used to parameterize possible modifications of the Poisson equation relating the matter density contrast to the lensing and the Newtonian potentials, respectively. They will be well constrained by future surveys of large scale structure. But what would the implications of measuring particular values of these functions be for modified gravity theories? We ask this question in the context of general Horndeski class of single field scalar-tensor theories with second order equations of motion. We find several consistency conditions that make it possible to rule out broad classes of theories based on measurements of $\Sigma$ and $\mu$ that are independent of their parametric forms. For instance, a measurement of $\Sigma \ne 1$ would rule out all models with a canonical form of kinetic energy, while finding $\Sigma -1$ and $\mu -1$ to be of opposite sign would strongly disfavour the entire class of Horndeski models. We separately examine the large and the small scale limits, the possibility of scale-dependence, and the consistency with bounds on the speed of gravitational waves. We identify sub-classes of Horndeski theories that can be ruled out based on the measured difference between $\Sigma$ and $\mu$.

12 pages, 1 diagram; minor improvements, typos corrected, references added; matches the version accepted to Phys Rev D

References in corpus (37)

• Quantum Gravity at a Lifshitz Point
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Beyond the Cosmological Standard Model
• The Effective Field Theory of Inflation
• Covariant Galileon
• Causality, Analyticity and an IR Obstruction to UV Completion
• Imperfect Dark Energy from Kinetic Gravity Braiding
• Exploring gravitational theories beyond Horndeski
• Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity
• A Parameterized Post-Friedmann Framework for Modified Gravity
• Measuring the dark side (with weak lensing)
• A discriminating probe of gravity at cosmological scales
• Approaches to Understanding Cosmic Acceleration
• Confirmation of general relativity on large scales from weak lensing and galaxy velocities
• Distinguishing Modified Gravity from Dark Energy
• Searching for modified growth patterns with tomographic surveys
• Anisotropic stress as signature of non-standard propagation of gravitational waves
• Testing gravity with CAMB and CosmoMC
• A unifying description of dark energy
• On the Growth of Perturbations as a Test of Dark Energy
• The Parameterized Post-Friedmann Framework for Theories of Modified Gravity: Concepts, Formalism and Examples
• How to optimally parametrize deviations from General Relativity in the evolution of cosmological perturbations
• Probing modifications of General Relativity using current cosmological observations
• Tidal Tails Test the Equivalence Principle in the Dark Sector
• Matter perturbations in Galileon cosmology
• The observational status of Galileon gravity after Planck
• Linear perturbations in Galileon gravity models
• Galilean Equivalence for Galactic Dark Matter
• Measuring the speed of cosmological gravitational waves
• Effects of modified gravity on B-mode polarization
• Mass functions in coupled Dark Energy models
• Measuring Speed of Gravitational Waves by Observations of Photons and Neutrinos from Compact Binary Mergers and Supernovae
• Effective field theory approach to modified gravity including Horndeski theory and Hořava-Lifshitz gravity
• New Gravitational Scales in Cosmological Surveys
• Practical solutions for perturbed f(R) gravity
• Effective field theory of modified gravity on the spherically symmetric background: leading order dynamics and the odd-type perturbations

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• Dark Energy and Modified Gravity in Degenerate Higher-Order Scalar-Tensor (DHOST) theories: a review
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• Effective Description of Higher-Order Scalar-Tensor Theories
• Cosmological Tests of Gravity
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• The Observational Future of Cosmological Scalar-Tensor Theories
• The fate of large-scale structure in modified gravity after GW170817 and GRB170817A
• Testing Screened Modified Gravity
• Cosmological discordances II: Hubble constant, Planck and large-scale-structure data sets
• Phenomenology of Modified Gravity at Recombination
• MGCAMB with massive neutrinos and dynamical dark energy
• Large-scale structure phenomenology of viable Horndeski theories
• Nonlinear Effective Theory of Dark Energy
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: constraining modified gravity
• Dark energy scenario consistent with GW170817 in theories beyond Horndeski gravity
• Generalized framework for testing gravity with gravitational-wave propagation. III. Future prospect
• On the road to percent accuracy II: calibration of the non-linear matter power spectrum for arbitrary cosmologies
• The road ahead of Horndeski: cosmology of surviving scalar-tensor theories
• Challenges in Connecting Modified Gravity Theory and Observations
• Cosmological constraints on dark energy in light of gravitational wave bounds
• A general theory of linear cosmological perturbations: stability conditions, the quasistatic limit and dynamics
• Modified Gravity Constraints from the Full Shape Modeling of Clustering Measurements from DESI 2024
• Weakening Gravity on Redshift-Survey Scales with Kinetic Matter Mixing
• Neutron star merger GW170817 strongly constrains doubly coupled bigravity
• Reconstruction of the Dark Energy equation of state from latest data: the impact of theoretical priors
• Optimising growth of structure constraints on modified gravity
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• Phenomenology of Large Scale Structure in scalar-tensor theories: joint prior covariance of $w_{\text{DE}}$, $\Sigma$ and $\mu$ in Horndeski
• Testing Gravity on Cosmic Scales: A Case Study of Jordan-Brans-Dicke Theory
• Fast and accurate predictions of the nonlinear matter power spectrum for general models of Dark Energy and Modified Gravity
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• Non-standard gravitational waves imply gravitational slip: on the difficulty of partially hiding new gravitational degrees of freedom
• An exploration of an early gravity transition in light of cosmological tensions
• New MGCAMB tests of gravity with CosmoMC and Cobaya
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• Testing gravity on cosmological scales with cosmic shear, cosmic microwave background anisotropies, and redshift-space distortions
• Diagnostic of Horndeski Theories
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• New cosmological constraints on $f(T)$ gravity in light of full Planck-CMB and type Ia supernovae data
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• Gravitational Redshift Constraints on the Effective Theory of Interacting Dark Energy
• Dark energy in scalar-vector-tensor theories
• Current constraints on deviations from General Relativity using binning in redshift and scale
• K-mouflage Imprints on Cosmological Observables and Data Constraints
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• 50 Years of Horndeski Gravity: Past, Present and Future
• Joint reconstructions of growth and expansion histories from stage-IV surveys with minimal assumptions. II. Modified gravity and massive neutrinos
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• Dark sector evolution in Horndeski models
• Cosmological Tests of Gravity: A Future Perspective
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• Constraining cosmological scaling solutions of a Galileon field
• Testing $f(T)$ Gravity with Cosmological Observations: Confronting the Hubble Tension and Implications for the Late-Time Universe
• Impact of cosmological signatures in two-point statistics beyond the linear regime
• The effective field theory of dark energy diagnostic of linear Horndeski theories after GW170817 and GRB170817A
• Numerical implementation of the Cubic Galileon model in PINOCCHIO
• Misinterpreting Modified Gravity as Dark Energy: a Quantitative Study
• Constraining Scale Dependent Growth with Redshift Surveys
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• Dark energy constraints in light of theoretical priors
• Geometry vs growth: Internal consistency of the flat ΛCDM model with KiDS-1000
• Cosmological scalar perturbations in Horndeski-like gravity
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• Probing beyond-Horndeski gravity on ultra-large scales
• Cavendish experiment with fast radio bursts on cosmological scales
• Non-parametric exploration of minimally coupled gravity with phantom crossing