Solar system constraints on multi-field theories of modified dynamics

Abstract

Any viable theory of modified Newtonian dynamcs (MOND) as modified gravity is likely to require fields in addition to the usual tensor field of General Relativity. For such theories the MOND phenomenology emerges from an effective fifth force probably associated with a scalar field. Here I consider the constraints imposed upon such theories by solar system phenomenology, primarily by the absence of significant deviations from inverse square attraction in the inner solar system as well as detectable local preferred frame effects. The current examples of multi-field theories can be constructed to satisfy these constraints and such theories lead inevitably to an anomalous non inverse-square force in the outer solar system.

11 pages, 6 figures, submitted MNRAS, revised in response to referee, improved clarity, one figure added, additional references

References in corpus (18)

• Relativistic gravitation theory for the MOND paradigm
• Study of the anomalous acceleration of Pioneer 10 and 11
• Indication, from Pioneer 10/11, Galileo, and Ulysses Data, of an Apparent Anomalous, Weak, Long-Range Acceleration
• The Confrontation between General Relativity and Experiment
• The Relation between Physical and Gravitational Geometry
• Modified Newtonian Dynamics in the Milky Way
• Dynamics with a non-standard inertia-acceleration relation: an alternative to dark matter
• A stratified framework for scalar-tensor theories of Modified Dynamics
• A tensor-vector-scalar framework for modified dynamics and cosmic dark matter
• Refining MOND interpolating function and TeVeS Lagrangian
• Gravitational Lenses and Unconventional Gravity Theories
• MOND habitats within the solar system
• Spherically symmetric, static spacetimes in a tensor-vector-scalar theory
• Improved bounds on non-luminous matter in solar orbit
• What do the orbital motions of the outer planets of the Solar System tell us about the Pioneer anomaly?
• A generic problem with purely metric formulations of MOND
• Can Minor Planets be Used to Assess Gravity in the Outer Solar System?
• The Pioneer Anomaly and Its Implications

Cited by in corpus (60)

• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
• Testing General Relativity in Cosmology
• Modifying gravity with the Aether: an alternative to Dark Matter
• The Tensor-Vector-Scalar theory and its cosmology
• The Pioneer Anomaly
• The Bullet Cluster 1E0657-558 evidence shows Modified Gravity in the absence of Dark Matter
• The modified Newtonian dynamics-MOND-and its implications for new physics
• Insight into the baryon-gravity relation in galaxies
• MOND effects in the inner solar system
• Orbital precession due to central-force perturbations
• MOND habitats within the solar system
• Constraining the range of Yukawa gravity interaction from S2 star orbits
• Cool X-ray emitting gas in the core of the Centaurus cluster of galaxies
• Analysis of the Yukawa gravitational potential in $f(R)$ gravity I: semiclassical periastron advance
• Vertical dynamics of disk galaxies in MOND
• On the anomalous secular increase of the eccentricity of the orbit of the Moon
• Structure of Neutron Stars in Tensor-Vector-Scalar Theory
• Resonant scattering of X-ray emission lines in the hot intergalactic medium
• Nonlocal Gravity in the Solar System
• Different Methods of Forming Cold Fronts in Non-Merging Clusters
• Can the Pioneer anomaly be of gravitational origin? A phenomenological answer
• Understanding local Dwarf Spheroidals and their scaling relations under MOdified Newtonian Dynamics
• Sound waves in the intracluster medium of the Centaurus cluster
• The case for testing MOND using LISA Pathfinder
• Non-Metric Gravity II: Spherically Symmetric Solution, Missing Mass and Redshifts of Quasars
• Generalized Einstein-Aether theories and the Solar System
• Two-Phase ICM in the Central Region of the Rich Cluster of Galaxies Abell 1795: A Joint Chandra, XMM-Newton, and Suzaku View
• Disformal invariance of Maxwell's field equations
• Astronomical constraints on some long-range models of modified gravity
• A flyby anomaly for Juno? Not from standard physics
• Tensor-vector-scalar-modified gravity: from small scale to cosmology
• A High-Abundance Arc in the Compact Group of Galaxies HCG 62: An AGN- or Merger-Induced Metal Outflow?
• Solar system constraints on a Rindler-type extra-acceleration from modified gravity at large distances
• Solar System tests of some models of modified gravity proposed to explain galactic rotation curves without dark matter
• How Well Do We Know the Orbits of the Outer Planets?
• Testing the tensor-vector-scalar Theory with the latest cosmological observations
• Perturbations of Keplerian Orbits in Stationary Spherically Symmetric Spacetimes
• Galactic orbital motions in the Dark Matter, MOdified Newtonian Dynamics and MOdified Gravity scenarios
• MOND orbits in the Oort cloud
• The solar system test for the general modified gravity theories
• Detection of optical coronal emission from 10^6 K gas in the core of the Centaurus cluster
• Cosmology of the Galileon extension of Bekenstein's theory of relativistic Modified Newtonian Dynamics
• A model-independent test of spatial variations of the Newtonian gravitational constant in some extrasolar planetary systems
• Modified Rindler acceleration as a nonlinear electromagnetic effect
• Astrophysics in 2006
• Orbital effects of the time-dependent component of the Pioneer anomaly
• Putting Yukawa-like Modified Gravity (MOG) on the test in the Solar System
• Advances in the measurement of the Lense-Thirring effect with planetary motions in the field of the Sun
• The Pioneer anomaly and the holographic scenario
• The relativistic precession of the orbits
• Pioneer 10 and 11 Spacecraft Anomalous Acceleration in the light of the Nonsymmetric Kaluza-Klein (Jordan-Thiry) Theory
• Parameterised free functions and saddle stresses in modified gravity
• On the problem of deformed spherical systems in Modified Newtonian Dynamics
• On a recently proposed scalar-tensor-vector metric extension of general relativity to explain the Pioneer anomaly
• Test of the Pioneer anomaly with the Voyager 2 radio-ranging distance measurements to Uranus and Neptune
• Metric Expansion from Microscopic Dynamics in an Inhomogeneous Universe
• Tests of Modified Gravity Theories in the Solar System
• Supporting Abstract Relational Space-Time as Fundamental without Doctrinism against Emergence
• Screening Solutions in Modified Gravity Theories
• Gravity in Brans-Dicke theory with Born-Infeld scalar field and the Pioneer anomaly