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Galaxies 2015, 3(1), 1-17;

Nonlocal General Relativity

Dedicated to the memory of M. Hossein Partovi (1941–2014)
Department of Physics and Astronomy, University of Missouri, Columbia, MO 65211, USA
Academic Editor: Lorenzo Iorio
Received: 4 November 2014 / Accepted: 11 December 2014 / Published: 26 December 2014
(This article belongs to the Special Issue Advances in Gravitational Research)
Full-Text   |   PDF [287 KB, uploaded 31 December 2014]


A brief account of the present status of the recent nonlocal generalization of Einstein’s theory of gravitation is presented. The main physical assumptions that underlie this theory are described. We clarify the physical meaning and significance of Weitzenböck’s torsion and emphasize its intimate relationship with the gravitational field, characterized by the Riemannian curvature of spacetime. In this theory, nonlocality can simulate dark matter; in fact, in the Newtonian regime, we recover the phenomenological Tohline–Kuhn approach to modified gravity. To account for the observational data regarding dark matter, nonlocality is associated with a characteristic length scale of order 1 kpc. The confrontation of nonlocal gravity with observation is briefly discussed. View Full-Text
Keywords: nonlocal gravity; dark matter nonlocal gravity; dark matter
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Mashhoon, B. Nonlocal General Relativity. Galaxies 2015, 3, 1-17.

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