The phenomenology of beyond Horndeski gravity

Abstract

We study the phenomenology of the beyond Horndeski class of scalar-tensor theories of gravity, which on cosmological scales can be characterised in terms of one extra function of time, ${\alpha }_{\mathrm{H}}$, as well as the usual four Horndeski set of free functions. We show that ${\alpha }_{\mathrm{H}}$ can be directly related to the the damping of the matter power spectrum on both large and small scales. We also find that the temperature power spectrum of the cosmic microwave background (CMB) is enhanced at low multipoles and the lensing potential is decreased, as a function of ${\alpha }_{\mathrm{H}}$. We find constraints on ${\alpha }_{\mathrm{H}}$ of order $\mathcal{O}(1)$ using measurements of the temperature and polarisation of the CMB, as well as the lensing potential derived from it, combined with large scale structure data. We find that redshift space distortion measurements can play a significant role in constraining these theories. Finally, we comment on the recent constraints from the observation of an electromagnetic counterpart to a gravitational wave signal; we find that these constraints reduce the number of free parameters of the model but do not significantly change the constraints on the remaining parameters.

arXiv comment33 pages; 10 figures; 4 tables; Version as accepted for publication in JCAP

References in corpus (82)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Planck 2015 results. XIII. Cosmological parameters
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Planck 2013 results. XVI. Cosmological parameters
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Modified Gravity and Cosmology
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges
• Cosmological Perturbation Theory in the Synchronous vs. Conformal Newtonian Gauge
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Planck 2013 results. I. Overview of products and scientific results
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• An Ordinary Short Gamma-Ray Burst with Extraordinary Implications: Fermi-GBM Detection of GRB 170817A
• Generalized G-inflation: Inflation with the most general second-order field equations
• From k-essence to generalised Galileons
• Covariant Galileon
• The WiggleZ Dark Energy Survey: mapping the distance-redshift relation with baryon acoustic oscillations
• Dark Energy after GW170817: dead ends and the road ahead
• INTEGRAL Detection of the First Prompt Gamma-Ray Signal Coincident with the Gravitational Wave Event GW170817
• Strong constraints on cosmological gravity from GW170817 and GRB 170817A
• Dark Energy after GW170817 and GRB170817A
• The large-scale structure of the Universe
• Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
• Healthy theories beyond Horndeski
• Planck 2015 results. XI. CMB power spectra, likelihoods, and robustness of parameters
• Imperfect Dark Energy from Kinetic Gravity Braiding
• Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
• Horndeski theory and beyond: a review
• Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
• Detecting Dark Energy in Orbit -- the Cosmological Chameleon
• The 6dF Galaxy Survey: z \approx 0 measurement of the growth rate and sigma_8
• The Effective Field Theory of Dark Energy
• The WiggleZ Dark Energy Survey: the growth rate of cosmic structure since redshift z=0.9
• Exploring gravitational theories beyond Horndeski
• Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity
• Essential Building Blocks of Dark Energy
• Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
• Planck 2015 results. XIV. Dark energy and modified gravity
• Dark Energy or Modified Gravity? An Effective Field Theory Approach
• CosmoSIS: modular cosmological parameter estimation
• The Clustering of the SDSS Main Galaxy Sample II: Mock galaxy catalogues and a measurement of the growth of structure from Redshift Space Distortions at $z=0.15$
• Conditions for the cosmological viability of the most general scalar-tensor theories and their applications to extended Galileon dark energy models
• Simultaneous constraints on the growth of structure and cosmic expansion from the multipole power spectra of the SDSS DR7 LRG sample
• Dust of Dark Energy
• A unifying description of dark energy
• The VIMOS Public Extragalactic Redshift Survey (VIPERS): The growth of structures at $0.5<z<1.2$ from redshift-space distortions in the clustering of the PDR-2 final sample
• Unifying framework for scalar-tensor theories of gravity
• Linking Tests of Gravity On All Scales: from the Strong-Field Regime to Cosmology
• Effective Field Theory of Cosmic Acceleration: constraining dark energy with CMB data
• hi_class: Horndeski in the Cosmic Linear Anisotropy Solving System
• Helicity Decomposition of Ghost-free Massive Gravity
• Gravitational Wave Decay into Dark Energy
• Horndeski: beyond, or not beyond?
• The Observational Future of Cosmological Scalar-Tensor Theories
• Search for Resonances in the Dilepton Mass Distribution in pp Collisions at sqrt(s) = 7 TeV
• Self-accelerating universe in scalar-tensor theories after GW170817
• Cosmological parameter constraints for Horndeski scalar-tensor gravity
• Constraints on deviations from $\Lambda$CDM within Horndeski gravity
• The phenomenological approach to modeling the dark energy
• Dark energy after GW170817, revisited
• Hamiltonian structure of scalar-tensor theories beyond Horndeski
• Cosmological Constraints on Horndeski Gravity in Light of GW170817
• The parameter space in Galileon gravity models
• Constraining models of $f(R)$ gravity with Planck and WiggleZ power spectrum data
• A comparison of Einstein-Boltzmann solvers for testing General Relativity
• Signatures of Horndeski gravity on the Dark Matter Bispectrum
• A general theory of linear cosmological perturbations: stability conditions, the quasistatic limit and dynamics
• Constraints on modified gravity from Planck 2015: when the health of your theory makes the difference
• Weakening Gravity on Redshift-Survey Scales with Kinetic Matter Mixing
• A Fast Route to Modified Gravitational Growth
• Impact of theoretical priors in cosmological analyses: the case of single field quintessence
• Can modified gravity models reconcile the tension between CMB anisotropy and lensing maps in Planck-like observations?
• Diagnostic of Horndeski Theories
• The sound of DHOST

Cited by in corpus (18)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• hi_class: Background Evolution, Initial Conditions and Approximation Schemes
• Testing Gravity on Cosmic Scales: A Case Study of Jordan-Brans-Dicke Theory
• Obtaining Precision Constraints on Modified Gravity with Helioseismology
• Fast and accurate predictions of the nonlinear matter power spectrum for general models of Dark Energy and Modified Gravity
• Prospects of testing late-time cosmology with weak lensing of gravitational waves and galaxy surveys
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• Searching for dark energy with the Sun
• Cosmological gravity on all scales: simple equations, required conditions, and a framework for modified gravity
• 50 Years of Horndeski Gravity: Past, Present and Future
• Fifth forces and broken scale symmetries in the Jordan frame
• Testing gravity theories with cosmic microwave background in the degenerate higher-order scalar-tensor theory
• CMB constraints on DHOST theories
• Multi-component DHOST analysis in galaxy clusters
• Dark sector evolution in Horndeski models
• FeynMG: a FeynRules extension for scalar-tensor theories of gravity
• A particle's perspective on screening mechanisms
• Spatial Dependence of the Growth Factor in Scalar-Tensor Cosmology