Published March 15, 2010 | Version v1
Journal article

Nonlocal modification of Newtonian gravity

  • 1. Department of Physics and Astronomy, University of Missouri, Columbia, Missouri 65211 (United States)
  • 2. Institute for Theoretical Physics, University of Cologne, 50923 Koeln (Germany) and Department of Physics and Astronomy, University of Missouri, Columbia, Missouri 65211 (United States)
  • 3. Department of Mathematics, University of Missouri, Columbia, Missouri 65211 (United States)
  • 4. Department of Aerospace Technology, Aachen University of Applied Sciences, Hohenstaufenallee 6, 52064 Aachen (Germany)

Description

The Newtonian regime of a recent nonlocal extension of general relativity 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 general relativity. 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.

Additional details

Publishing Information

Journal Title
Physical Review. D, Particles Fields
Journal Volume
81
Journal Issue
6
Journal Page Range
p. 065020-065020.11
ISSN
0556-2821
CODEN
PRVDAQ

Optional Information

Notes
(c) 2010 The American Physical Society