Post-Newtonian parameter $\gamma$ for multiscalar-tensor gravity with a general potential

Abstract

We compute the parametrized post-Newtonian parameter $\gamma$ in the case of a static point source for multiscalar-tensor gravity with completely general nonderivative couplings and potential in the Jordan frame. Similarly to the single massive field case $\gamma$ depends exponentially on the distance from the source and is determined by the length of a vector of non-minimal coupling in the space of scalar fields and its orientation relative to the mass eigenvectors. Using data from the Cassini tracking experiment, we estimate bounds on a general theory with two scalar fields. Our formalism can be utilized for a wide range of models, which we illustrate by applying it to nonminimally coupled Higgs SU(2) doublet, general hybrid metric-Palatini gravity, linear (${\square }^{-1}$) and quadratic (${\square }^{-2}$) nonlocal gravity.

some clarifications and references added, REVTex version submitted to PRD for publication, 31 pages, 3 figures

References in corpus (111)

• The Confrontation between General Relativity and Experiment
• The Standard Model Higgs boson as the inflaton
• Testing General Relativity with Present and Future Astrophysical Observations
• Nonlocal Cosmology
• Post-Newtonian constraints on f(R) cosmologies in metric formalism
• Post-Newtonian constraints on f(R) cosmologies in Palatini formalism
• Extended Gravity Theories and the Einstein-Hilbert Action
• Solar System constraints to general f(R) gravity
• The gravity lagrangian according to solar system experiments
• The Newtonian Limit of F(R) gravity
• Modified non-local-F(R) gravity as the key for the inflation and dark energy
• Superconformal Symmetry, NMSSM, and Inflation
• Solar System tests DO rule out 1/R gravity
• Higgs-Dilaton Cosmology: From the Early to the Late Universe
• Gravitational radiation from compact binary systems in the massive Brans-Dicke theory of gravity
• Cosmological perturbations and structure formation in nonlocal infrared modifications of general relativity
• Non-local gravity and dark energy
• Higher order gravity theories and scalar tensor theories
• Multifield Inflation after Planck: The Case for Nonminimal Couplings
• Jordan Frame Supergravity and Inflation in NMSSM
• Spontaneous Scalarization with Massive Fields
• Multi-field Conformal Cosmological Attractors
• Conformal Transformations with Multiple Scalar Fields
• Compact binary systems in scalar-tensor gravity: Equations of motion to 2.5 post-Newtonian order
• Dynamics of Nonlocal Cosmology
• PPN-limit of Fourth Order Gravity inspired by Scalar-Tensor Gravity
• Accelerating cosmologies from non-local higher-derivative gravity
• Generalized Gravity and a Ghost
• Primordial Bispectrum from Multifield Inflation with Nonminimal Couplings
• Inflation with Non-minimal Gravitational Couplings and Supergravity
• Supergravity based inflation models: a review
• Consistent Spin-Two Coupling and Quadratic Gravitation
• PPN Parameter $\gamma$ and Solar System Constraints of Massive Brans-Dicke Theories
• Higgs-Dilaton Cosmology: an effective field theory approach
• On the non-minimal gravitational coupling to matter
• Newtonian limit of nonlocal cosmology
• Slowly rotating neutron stars in scalar-tensor theories with a massive scalar field
• Generalized hybrid metric-Palatini gravity
• Invariant quantities in the scalar-tensor theories of gravitation
• Preheating after Multifield Inflation with Nonminimal Couplings, I: Covariant Formalism and Attractor Behavior
• Chaotic inflation in Jordan frame supergravity
• Generalised Quadratic Curvature, Non-Local Infrared Modifications of Gravity and Newtonian Potentials
• Unifying Einstein and Palatini gravities
• Multifield Dynamics of Higgs Inflation
• Rapidly rotating neutron stars with a massive scalar field - structure and universal relations
• Screening of cosmological constant in non-local gravity
• One-loop divergences for gravity non-minimally coupled to a multiplet of scalar fields: calculation in the Jordan frame. I. The main results
• Screening of cosmological constant in non-local cosmology
• Nonlinear structure formation in Nonlocal Gravity
• On the geometrical interpretation of scale-invariant models of inflation
• Tensor-multi-scalar theories: relativistic stars and 3+1 decomposition
• The Parameterised Post-Newtonian Limit of Fourth-Order Theories of Gravity
• Distinguishing Higgs inflation and its variants
• Post-Newtonian parameters gamma and beta of scalar-tensor gravity with a general potential
• Spherically symmetric static solutions in a non-local infrared modification of General Relativity
• Auxiliary fields representation for modified gravity models
• WIMP Dark Matter and Unitarity-Conserving Inflation via a Gauge Singlet Scalar
• Higgs-Dilaton cosmology: Are there extra relativistic species?
• Nonlocal Gravity and Structure in the Universe
• Quantum corrections in Higgs inflation: the Standard Model case
• Higgs-Dilaton cosmology: Universality vs. criticality
• The post-Newtonian limit in C-theories of gravitation
• Non-local gravity and comparison with observational datasets. II. Updated results and Bayesian model comparison with $\Lambda$CDM
• Curvature perturbation in multi-field inflation with non-minimal coupling
• Parameterized post-Newtonian limit of Horndeski's gravity theory
• Inflation and dark matter in two Higgs doublet models
• Light scalar field constraints from gravitational-wave observations of compact binaries
• 2PN Light Propagation in the Scalar-Tensor Theory: an $N$-Point-Masses Case
• Multi-Scalar-Tensor Equivalents for Modified Gravitational Actions
• Primordial Perturbations from Multifield Inflation with Nonminimal Couplings
• Testing scalar-tensor theories and PPN parameters in Earth orbit
• Intrinsic Solar System decoupling of a scalar-tensor theory with a universal coupling between the scalar field and the matter Lagrangian
• Running inflation with unitary Higgs
• $\gamma$ Parameter and Solar System constraint in Chameleon Brans Dick Theory
• Gravitational scalar-tensor theory
• Post-Newtonian parameters and cosmological constant of screened modified gravity
• Invariant quantities in the multiscalar-tensor theories of gravitation
• General Analysis of Inflation in the Jordan frame Supergravity
• Post-Newtonian Approximation of Teleparallel Gravity Coupled with a Scalar Field
• Dark energy as a fixed point of the Einstein Yang-Mills Higgs Equations
• Comparing scalar-tensor gravity and f(R)-gravity in the Newtonian limit
• Higgs Dark Energy
• Non-linear curvature perturbation in multi-field inflation models with non-minimal coupling
• Parametrized Post-Newtonian Limit of Teleparallel Dark Energy Model
• Goldstone bosons and a dynamical Higgs field
• Jumping from Metric f(R) to Scalar-Tensor Theories and the relations between their post-Newtonian Parameters
• Second post-Newtonian approximation of scalar-tensor theory of gravity
• Scalar-tensor propagation of light in the inner solar system at the millimetric level
• The dynamical equivalence of modified gravity revisited
• PPN parameters in gravitational theory with nonminimally derivative coupling
• Multiple Field Scalar-Tensor Theories of Gravity and Cosmology
• Multifield dynamics of supersymmetric Higgs inflation in SU(5) GUT
• Particlelike distributions of the Higgs field nonminimally coupled to gravity
• How can we tell whether dark energy is composed by multiple fields?
• Multi-field formulation of gravitational particle production after inflation
• Particlelike solutions in modified gravity: the Higgs monopole
• Solar System Constraints on Scalar Tensor Theories with Non-Standard Action
• Inflation due to a non-minimal coupling of singlet scalars in the radiative seesaw model
• Gravitational constant in multiple field gravity
• Ghosts in classes of non-local gravity
• The dark aftermath of Higgs inflation
• Notes on the post-Newtonian limit of massive Brans-Dicke theory
• Modified Jordan-Brans-Dicke theory with scalar current and the Eddington-Robertson gamma-parameter
• Vacuum stability and the scaling behaviour of the Higgs-curvature coupling
• The Weak Field Limit of Fourth Order Gravity
• The γ parameter in Brans-Dicke-like (light-)Scalar-Tensor theory with a universal scalar/matter coupling
• Curvaton Scenario in the Presence of Two Dilatons Coupled to the Scalar Curvature
• Novel aspects of C-theories in Cosmology
• Towards Resolution of Hierarchy Problems in a Cosmological Context
• Post-Newtonian phenomenology of a massless dilaton
• The $\gamma$ parameter in Brans-Dicke-like (light-)Scalar-Tensor theory with a universal scalar/matter coupling and a new decoupling scenario

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• Sub-millimeter Spatial Oscillations of Newton's Constant: Theoretical Models and Laboratory Tests
• Post-Newtonian limit of generalized scalar-torsion theories of gravity
• Post-Newtonian limit of scalar-torsion theories of gravity as analogue to scalar-curvature theories
• Post-Newtonian parameters $\gamma$ and $\beta$ of scalar-tensor gravity for a homogeneous gravitating sphere
• Weak-field regime of the generalized hybrid metric-Palatini gravity
• Linearized physics and gravitational-waves polarizations in the Palatini formalism of GBD theory
• Linearized modified gravity theories and gravitational waves physics in the GBD theory
• Global Portraits of Nonminimal Inflation: Metric and Palatini
• A detailed first-order post-Newtonian analysis of massive Brans-Dicke theories: numerical constraints and the $\beta$ parameter meaning
• Cosmic acceleration in screening hybrid quintessence model
• Dynamical system analysis in multiscalar-torsion cosmology
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