The Parameterized Post-Newtonian-Vainshteinian formalism for the Galileon field

Abstract

Recently, an extension to the Parameterized Post-Newtonian (PPN) formalism has been proposed. This formalism, the Parameterized Post-Newtonian-Vainshteinian (PPNV) formalism, is well suited to theories which exhibit Vainshtein screening of scalar fields. In this paper we apply the PPNV formalism to the Quartic and Quintic Galileon theories for the first time. As simple generalizations of standard scalar-tensor field theories they are important guides for the generalization of parameterized approaches to the effects of gravity beyond General Relativity. In the Quartic case, we find new PPNV potentials for both screened and un-screened regions of spacetime, showing that in principle these theories can be tested. In the Quintic case we show that Vainshtein screening does not occur to Newtonian order, meaning that the theory behaves as Brans-Dicke to this order, and we discuss possible higher order effects.

arXiv comment18 pages, 2 figure

References in corpus (51)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Modified Gravity and Cosmology
• The Confrontation between General Relativity and Experiment
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• The galileon as a local modification of gravity
• Relativistic gravitation theory for the MOND paradigm
• Dark Energy after GW170817: dead ends and the road ahead
• Strong constraints on cosmological gravity from GW170817 and GRB 170817A
• Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
• The Effective Field Theory of Dark Energy
• Fundamental Theoretical Bias in Gravitational Wave Astrophysics and the Parameterized Post-Einsteinian Framework
• A Parameterized Post-Friedmann Framework for Modified Gravity
• A discriminating probe of gravity at cosmological scales
• Dark Energy or Modified Gravity? An Effective Field Theory Approach
• Galileon Cosmology
• Gravitational Wave Tests of General Relativity with the Parameterized Post-Einsteinian Framework
• Constraints on Einstein-Æther theory and Horava gravity from binary pulsar observations
• Can the Acceleration of Our Universe Be Explained by the Effects of Inhomogeneities?
• Post-Newtonian parameters and constraints on Einstein-aether theory
• Galileon Gravity in Light of ISW, CMB, BAO and $H_0$ data
• The Tensor-Vector-Scalar theory and its cosmology
• The Parameterized Post-Friedmann Framework for Theories of Modified Gravity: Concepts, Formalism and Examples
• A practical approach to cosmological perturbations in modified gravity
• Effective Field Theory of Cosmological Perturbations
• The observational status of Galileon gravity after Planck
• Parametrized Post-Friedmann Signatures of Acceleration in the CMB
• Cosmological constraints on Brans-Dicke theory
• Generalizing TeVeS Cosmology
• Improving relativistic MOND with Galileon k-mouflage
• Strong field effects on binary systems in Einstein-aether theory
• Effective action approach to cosmological perturbations in dark energy and modified gravity
• New tests of local Lorentz invariance of gravity with small-eccentricity binary pulsars
• Towards a fully consistent parameterization of modified gravity
• A new limit on local Lorentz invariance violation of gravity from solitary pulsars
• The orthometric parameterisation of the Shapiro delay and an improved test of general relativity with binary pulsars
• Dark energy after GW170817, revisited
• Revisiting fifth forces in the Galileon model
• Tests of Gravity with Future Space-Based Experiments
• Black holes in a cubic Galileon universe
• A sub-horizon framework for probing the relationship between the cosmological matter distribution and metric perturbations
• Consistent cosmological modifications to the Einstein equations
• Propagation of Gravitational Waves in Generalized TeVeS
• Finding Horndeski theories with Einstein gravity limits
• A Parametrized post-Einsteinian Framework for Gravitational Wave Bursts
• Parameterizing dark sector perturbations via equations of state
• The Shape Dependence of Vainshtein Screening
• A Rosetta Stone for Parameterized Tests of Gravity
• The Parametrized Post-Newtonian-Vainshteinian Formalism
• Galileons and strong gravity
• Parameterised Post-Newtonian Expansion in Screened Regions
• Classical Duals, Legendre Transforms and the Vainshtein Mechanism

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• Parameterised post-Newtonian formalism for the effective field theory of dark energy via screened reconstructed Horndeski theories
• The effect of screening mechanisms on black hole binary inspiral waveforms
• Screening and degenerate kinetic self-acceleration from the nonlinear freedom of reconstructed Horndeski theories
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