Nonlocal Gravity in the Solar System
arXiv:1508.01508 · doi:10.1088/0264-9381/33/7/075005
Abstract
The implications of the recent classical nonlocal generalization of Einstein's theory of gravitation for gravitational physics in the Solar System are investigated. In this theory, the nonlocal character of gravity appears to simulate dark matter. Nonlocal gravity in the Newtonian regime involves a reciprocal kernel with three spatial parameters, of which two have already been determined from the rotation curves of spiral galaxies and the internal dynamics of clusters of galaxies. However, the short-range parameter a_0 remains to be determined. In this connection, the nonlocal contribution to the perihelion precession of a planetary orbit is estimated and a preliminary lower limit on a_0 is determined.
25 pages, 4 figures; v2: expanded version accepted for publication in CQG
References in corpus (17)
- A direct empirical proof of the existence of dark matter
- Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
- The non-gravitational interactions of dark matter in colliding galaxy clusters
- Particle Physics Implications of a Recent Test of the Gravitational Inverse Square Law
- Dark matter vs. modifications of the gravitational inverse-square law. Results from planetary motion in the solar system
- Nonlocal Gravity Simulates Dark Matter
- A formal framework for a nonlocal generalization of Einstein's theory of gravitation
- Gravitational Anomalies in the Solar System?
- Solar system constraints on multi-field theories of modified dynamics
- Nonlocal Modification of Newtonian Gravity
- Observational Tests of Nonlocal Gravity: Galaxy Rotation Curves and Clusters of Galaxies
- Catching a bullet: direct evidence for the existence of dark matter
- Nonlocal Gravity: The General Linear Approximation
- Spiral Galaxies Rotation Curves with a Logarithmic Corrected Newtonian Gravitational Potential
- Testing long-distance modifications of gravity to 100 astronomical units
- Tests of gravitation with Gaia observations of Solar System Objects
- On the Nonlocal Newtonian Cosmology
Cited by in corpus (19)
- Nonlocal Newtonian Cosmology
- Extending Friedmann equations using fractional derivatives using a Last Step Modification technique: the case of a matter dominated accelerated expanding Universe
- Preliminary constraints on the location of the recently hypothesized new planet of the Solar System from planetary orbital dynamics
- Constitutive law of nonlocal gravity
- Nonlocal Gravitomagnetism
- On Nonlocal Modified Gravity and its Cosmological Solutions
- Characteristics of Effective Dark Matter in Nonlocal Gravity
- Dynamical Friction in Nonlocal Gravity
- Two approaches that prove divergence free nature of non-local gravity
- Logarithmic corrections to Newtonian gravity and Large Scale Structure
- Dynamic Dark Energy from the Local Limit of Nonlocal Gravity
- Anisotropic Cosmology in the Local Limit of Nonlocal Gravity
- Gravitational partition function modified by super-light brane world perturbative modes
- A note on cosmological features of modified Newtonian potentials
- Local Limit of Nonlocal Gravity: Cosmological Perturbations
- Local Limit of Nonlocal Gravity: A Teleparallel Extension of General Relativity
- Dynamical Friction and Tidal Interactions
- Gödel's Universe and the Local Limit of Nonlocal Gravity
- Nonlocal Gravity: Modification of Newtonian Gravitational Force in the Solar System