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Nonlocal General Relativity
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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 Weitzenb\"ock'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.
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Nonlocal Gravitomagnetism
In the linearized regime of nonlocal gravity, the gravitomagnetic field of a rotating mass acquires a tiny nonlocal correction, below one part in 10^10 of the general-relativistic value for Earth and Moon.
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