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 (39)

• The Confrontation between General Relativity and Experiment
• The Standard Model Higgs boson as the inflaton
• Solar System constraints to general f(R) gravity
• 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
• Cosmological perturbations and structure formation in nonlocal infrared modifications of general relativity
• Conformal Transformations with Multiple Scalar Fields
• Dynamics of Nonlocal Cosmology
• Accelerating cosmologies from non-local higher-derivative gravity
• Primordial Bispectrum from Multifield Inflation with Nonminimal Couplings
• On the non-minimal gravitational coupling to matter
• Newtonian limit of nonlocal cosmology
• Invariant quantities in the scalar-tensor theories of gravitation
• 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
• 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 gravity
• Nonlinear structure formation in Nonlocal Gravity
• On the geometrical interpretation of scale-invariant models of inflation
• The Parameterised Post-Newtonian Limit of Fourth-Order Theories of Gravity
• Auxiliary fields representation for modified gravity models
• Higgs-Dilaton cosmology: Are there extra relativistic species?
• Higgs-Dilaton cosmology: Universality vs. criticality
• Primordial Perturbations from Multifield Inflation with Nonminimal Couplings
• Testing scalar-tensor theories and PPN parameters in Earth orbit
• General Analysis of Inflation in the Jordan frame Supergravity
• Higgs Dark Energy
• Second post-Newtonian approximation of scalar-tensor theory of gravity
• Scalar-tensor propagation of light in the inner solar system at the millimetric level
• How can we tell whether dark energy is composed by multiple fields?
• Particlelike solutions in modified gravity: the Higgs monopole
• Gravitational constant in multiple field gravity
• Ghosts in classes of non-local gravity
• The Weak Field Limit of Fourth Order Gravity
• Curvaton Scenario in the Presence of Two Dilatons Coupled to the Scalar Curvature

Cited by in corpus (2)

• Frame Covariant Nonminimal Multifield Inflation
• Post-Newtonian parameters $\gamma$ and $\beta$ of scalar-tensor gravity for a homogeneous gravitating sphere