Abstract

Title: "A formal framework for a nonlocal generalization of Einstein's theory of gravitation"

Abstract:
The analogy between electrodynamics and the translational gauge theory of gravity is employed in this paper to develop an ansatz for a nonlocal generalization of Einstein's theory of gravitation. Working in the linear approximation, we show that the resulting nonlocal theory is equivalent to general relativity with ``dark matter''. The nature of the predicted ``dark matter'', which is the manifestation of the nonlocal character of gravity in our model, is briefly discussed.