Galileon forces in the Solar System
arXiv:1305.2194 · doi:10.1103/PhysRevD.88.084028
Abstract
We consider the challenging problem of obtaining an analytic understanding of realistic astrophysical dynamics in the presence of a Vainshtein screened fifth force arising from infrared modifications of General Relativity. In particular, we attempt to solve -- within the most general flat spacetime galileon model -- the scalar force law between well separated bodies located well within the Vainshtein radius of the Sun. To this end, we derive the exact static Green's function of the galileon wave equation linearized about the background field generated by the Sun, for the minimal cubic and maximally quartic galileon theories, and then introduce a method to compute the general leading order force law perturbatively away from these limits. We also show that the same nonlinearities which produce the Vainshtein screening effect present obstacles to an analytic calculation of the galileon forces between closely bound systems within the solar system, such as that of the Earth and Moon. Within the test mass approximation, we deduce that a large enough quartic galileon interaction would suppress the effect on planetary perihelion precession below the level detectable by even the next-generation experiments.
33 pages, 4 figures. v2 comments and references added, version appearing in PRD
References in corpus (20)
- Covariant Galileon
- Causality, Analyticity and an IR Obstruction to UV Completion
- Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
- Imperfect Dark Energy from Kinetic Gravity Braiding
- DBI and the Galileon reunited
- Multi-field galileons and higher co-dimension branes
- Symmetries for Galileons and DBI scalars on curved space
- On causality and superluminal behavior in classical field theories. Applications to k-essence theories and MOND-like theories of gravity
- Bi-galileon theory I: motivation and formulation
- Galileons as Wess-Zumino Terms
- General Embedded Brane Effective Field Theories
- Vainshtein Mechanism in Binary Pulsars
- Stability and superluminality of spherical DBI galileon solutions
- Time-dependent spherically symmetric covariant Galileons
- A Covariant Master Theory for Novel Galilean Invariant Models and Massive Gravity
- Attractor scenarios and superluminal signals in k-essence cosmology
- Equivalence Principle Violation in Vainshtein Screened Two-Body Systems
- Constraints on Galileon-induced precessions from solar system orbital motions
- The n-body problem in General Relativity up to the second post-Newtonian order from perturbative field theory
- Instabilities of Spherical Solutions with Multiple Galileons and SO(N) Symmetry
Cited by in corpus (25)
- Beyond the Cosmological Standard Model
- Massive Gravity
- Dark energy in Horndeski theories after GW170817: A review
- Astrophysical Probes of the Vainshtein Mechanism: Stars and Galaxies
- The Novel Probes Project -- Tests of Gravity on Astrophysical Scales
- Tests of Gravity with Future Space-Based Experiments
- Constraining some Horndeski gravity theories
- Effective field theory of modified gravity on the spherically symmetric background: leading order dynamics and the odd-type perturbations
- Constraining the CDM and Galileon models with recent cosmological data
- Extrasolar planets as a probe of modified gravity
- First experimental constraints on the disformally coupled Galileon model
- The Parametrized Post-Newtonian-Vainshteinian Formalism
- Metric-affine gravity effects on terrestrial (exo-)planets profiles
- Large scale structures and the cubic galileon model
- Beyond the Hellings-Downs curve: Non-Einsteinian gravitational waves in pulsar timing array correlations
- Looking out for the Galileon in the nanohertz gravitational wave sky
- Fluid sphere: stability problem and dimensional constraint
- The two-body potential of Vainshtein screened theories
- Unveiling the Galileon in a three-body system : scalar and gravitational wave production
- Non-homogeneous exoplanets in metric-affine gravity
- Scalar emission from neutron star-black hole binaries in scalar-tensor theories with kinetic screening
- Two-body problem in theories with kinetic screening
- Searching for new physics in the solar system with tetrahedral spacecraft formations
- Robust numerical computation of the 3D scalar potential field of the cubic Galileon gravity model at solar system scales
- Weakly Broken Galileon Symmetry in Cosmology