Parameterised post-Newtonian formalism for the effective field theory of dark energy via screened reconstructed Horndeski theories

Abstract

We bring together two popular formalisms which generically parameterise deviations from General Relativity on astrophysical and cosmological scales, namely the parameterised post-Newtonian (PPN) formalism and the effective field theory (EFT) of dark energy and modified gravity. These separate formalisms are successfully applied to independently perform tests of gravity in their respective regimes of applicability on vastly different length scales. Nonlinear screening mechanisms indeed make it imperative to probe General Relativity across a wide range of scales. For a comprehensive interpretation of the complementary measurements it is important to connect them to effectively constrain the vast gravitational model space. We establish such a connection within the framework of Horndeski scalar-tensor theories restricted to a luminal propagation speed of gravitational waves. This is possible via the reconstruction of the family of linearly degenerate covariant Horndeski actions from the set of EFT functions and the subsequent derivation of the PPN parameters from the reconstructed theory. We outline the required conditions which ensure a reconstructed Horndeski model possesses a screening mechanism that enables significant modifications on cosmological scales while respecting stringent astrophysical bounds. Employing a scaling method, we then perform the general post-Newtonian expansion of the reconstructed models to derive their PPN parameters $\gamma$ and $\beta$ in their screened regimes.

arXiv comment40 pages, 1 figure, 2 tables

References in corpus (82)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Dynamics of dark energy
• Modified Gravity and Cosmology
• The Confrontation between General Relativity and Experiment
• LSST: from Science Drivers to Reference Design and Anticipated Data Products
• The Dynamics of General Relativity
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Chameleon Cosmology
• The String Dilaton and a Least Coupling Principle
• Beyond the Cosmological Standard Model
• Generalized G-inflation: Inflation with the most general second-order field equations
• Massive Gravity
• From k-essence to generalised Galileons
• Euclid Definition Study Report
• Everything You Always Wanted To Know About The Cosmological Constant Problem (But Were Afraid To Ask)
• Healthy theories beyond Horndeski
• Cosmological Tests of Modified Gravity
• 1/R gravity and Scalar-Tensor Gravity
• Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
• Avoiding Dark Energy with 1/R Modifications of Gravity
• The Effective Field Theory of Dark Energy
• Testing General Relativity in Cosmology
• Dark Energy vs. Modified Gravity
• Testing General Relativity with Pulsar Timing
• Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity
• Essential Building Blocks of Dark Energy
• Breaking a Dark Degeneracy with Gravitational Waves
• A millisecond pulsar in a stellar triple system
• Dark Energy or Modified Gravity? An Effective Field Theory Approach
• Galileon Cosmology
• k-Mouflage gravity
• Challenges to Self-Acceleration in Modified Gravity from Gravitational Waves and Large-Scale Structure
• Symmetron Cosmology
• The Effective Theory of Quintessence: the w<-1 Side Unveiled
• Gravitational Rainbows: LIGO and Dark Energy at its Cutoff
• A unifying description of dark energy
• Effective Field Theory of Dark Energy: a Review
• Sequestering the Standard Model Vacuum Energy
• Testing the universality of free fall by tracking a pulsar in a stellar triple system
• Lectures on the Cosmological Constant Problem
• A Simplified Approach to General Scalar-Tensor Theories
• On the cosmological constant problem
• Vainshtein Mechanism in Binary Pulsars
• How the huge energy of quantum vacuum gravitates to drive the slow accelerating expansion of the Universe
• Constraining chameleon models with cosmology
• Cosmological parameter constraints for Horndeski scalar-tensor gravity
• A Unified Approach to Cosmic Acceleration
• Dark energy after GW170817, revisited
• Pulsars and Gravity
• Nonlinear Effective Theory of Dark Energy
• Halo modelling in chameleon theories
• KiDS+GAMA: Constraints on Horndeski gravity from combined large-scale structure probes
• A general theory of linear cosmological perturbations: scalar-tensor and vector-tensor theories
• A Class of Effective Field Theory Models of Cosmic Acceleration
• Gravitational wave constraints on dark sector models
• The missing link: a nonlinear post-Friedmann framework for small and large scales
• The road ahead of Horndeski: cosmology of surviving scalar-tensor theories
• Finding Horndeski theories with Einstein gravity limits
• Parameterized post-Newtonian limit of Horndeski's gravity theory
• Reconstructing Horndeski theories from phenomenological modified gravity and dark energy models on cosmological scales
• Parameterized Post-Newtonian Cosmology
• A parametrisation of modified gravity on nonlinear cosmological scales
• $N$-body simulations for parametrised modified gravity
• Post-Newtonian parameters and cosmological constant of screened modified gravity
• Reconstructing Horndeski models from the effective field theory of dark energy
• Semi-dynamical perturbations of unified dark energy
• The FAST discovery of an Eclipsing Binary Millisecond Pulsar in the Globular Cluster M92 (NGC 6341)
• Classifying Linearly Shielded Modified Gravity Models in Effective Field Theory
• The Parametrized Post-Newtonian-Vainshteinian Formalism
• Black Hole/Pulsar Binaries in the Galaxy
• Cosmological gravity on all scales: simple equations, required conditions, and a framework for modified gravity
• Inherently stable effective field theory for dark energy and modified gravity
• Parametrizing theories of gravity on large and small scales in cosmology
• Parametrizations for tests of gravity
• Parameterised Post-Newtonian Expansion in Screened Regions
• Tackling non-linearities with the effective field theory of dark energy and modified gravity
• Positivity bounds on reconstructed Horndeski models
• The Parameterized Post-Newtonian-Vainshteinian formalism for the Galileon field
• Screening and degenerate kinetic self-acceleration from the nonlinear freedom of reconstructed Horndeski theories
• Review on tests of General Relativity And Modified Gravity Using Pulsar Timing

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• Cosmology with the Laser Interferometer Space Antenna
• New Horizons for Fundamental Physics with LISA
• Positivity Bounds on Dark Energy: When Matter Matters
• Fast and accurate predictions of the nonlinear matter power spectrum for general models of Dark Energy and Modified Gravity
• Inspiral gravitational waveforms from compact binary systems in Horndeski gravity
• Scalar Fields Near Compact Objects: Resummation versus UV Completion
• Constraining Horndeski theory with gravitational waves from coalescing binaries
• Post-Newtonian $\gamma$-like parameters and the gravitational slip in scalar-tensor and $f(R)$ theories
• Are $f(R,\mathrm{Matter})$ theories really relevant to cosmology?
• The effect of screening mechanisms on black hole binary inspiral waveforms
• Two-body problem in theories with kinetic screening
• PPN meets EFT of dark energy: Post-Newtonian approximation in higher-order scalar-tensor theories
• Robustness of the Cosmological Constant Damping Mechanism Through Matter Eras