Nonlocal Modification of Newtonian Gravity
arXiv:1002.1425 · doi:10.1103/PhysRevD.81.065020
Abstract
The Newtonian regime of a recent nonlocal extension of general relativity (GR) is investigated. Nonlocality is introduced via a scalar "constitutive" kernel in a special case of the translational gauge theory of gravitation, namely, the teleparallel equivalent of GR. In this theory, the nonlocal aspect of gravity simulates dark matter. A nonlocal and nonlinear generalization of Poisson's equation of Newtonian gravitation is presented. The implications of nonlocality for the gravitational physics in the solar system are briefly studied.
11 pages, 1 figure; v2: minor typos corrected, accepted for publication in Phys. Rev. D
References in corpus (11)
- A direct empirical proof of the existence of dark matter
- Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
- Particle Physics Implications of a Recent Test of the Gravitational Inverse Square Law
- The Universal Rotation Curve of Spiral Galaxies. II The Dark Matter Distribution out to the Virial Radius
- Bimetric MOND gravity
- Nonlocal Gravity Simulates Dark Matter
- A formal framework for a nonlocal generalization of Einstein's theory of gravitation
- On the Gravitomagnetic Time Delay
- Catching a bullet: direct evidence for the existence of dark matter
- Perihelion precession for modified Newtonian gravity
- Toward a Nonlocal Theory of Gravitation