Equivalence Principle Violation in Vainshtein Screened Two-Body Systems

Abstract

In massive gravity, galileon, and braneworld explanations of cosmic acceleration, force modifications are screened by nonlinear derivative self-interactions of the scalar field mediating that force. Interactions between the field of a central body ("A") and an orbiting body ("B") imply that body B does not move as a test body in the field of body A if the orbit is smaller than the Vainshtein radius of body B. We find through numerical solutions of the joint field at the position of B that the A-field Laplacian is nearly perfectly screened by the B self-field, whereas first derivative or net forces are reduced in a manner that scales with the mass ratio of the bodies as (M_B/M_A)^{3/5}. The latter causes mass-dependent reductions in the universal perihelion precession rate, with deviations for the Earth-Moon system at the ~4% level. In spite of universal coupling, which preserves the microscopic equivalence principle, the motion of macroscopic screened bodies depends on their mass providing in principle a means for testing the Vainshtein mechanism.

arXiv comment18 pages, 9 figures; accepted version, corrected typos, added argument in Sec.IIA

References in corpus (27)

• 4D Gravity on a Brane in 5D Minkowski Space
• The galileon as a local modification of gravity
• Resummation of Massive Gravity
• Chameleon Cosmology
• Covariant Galileon
• Symmetron Fields: Screening Long-Range Forces Through Local Symmetry Restoration
• Nonperturbative Continuity in Graviton Mass versus Perturbative Discontinuity
• Probing Newton's Constant on Vast Scales: DGP Gravity, Cosmic Acceleration and Large Scale Structure
• Strong interactions and exact solutions in non-linear massive gravity
• Equivalence Principle Implications of Modified Gravity Models
• The Accelerated Universe and the Moon
• Gravitational Leakage into Extra Dimensions: Probing Dark Energy Using Local Gravity
• Vainshtein screening in a cosmological background in the most general second-order scalar-tensor theory
• The recovery of General Relativity in massive gravity via the Vainshtein mechanism
• Constructing stabilized brane world models in five-dimensional Brans-Dicke theory
• Ghosts in the self-accelerating universe
• Self-Consistent Cosmological Simulations of DGP Braneworld Gravity
• Cosmological Simulations of Normal-Branch Braneworld Gravity
• Non-linear interactions in a cosmological background in the DGP braneworld
• Vainshtein Mechanism in Binary Pulsars
• Spherical Collapse and the Halo Model in Braneworld Gravity
• Vainshtein mechanism in second-order scalar-tensor theories
• Revisiting fifth forces in the Galileon model
• Vainshtein Mechanism In ${\Lambda }_3$ - Theories
• Characterising Vainshtein Solutions in Massive Gravity
• Galileon Hairs of Dyson Spheres, Vainshtein's Coiffure and Hirsute Bubbles
• Acceleration from Modified Gravity: Lessons from Worked Examples

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• Tests of Gravity with Future Space-Based Experiments
• Single-Field Consistency Relations of Large Scale Structure. Part III: Test of the Equivalence Principle
• Galileon Radiation from Binary Systems
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