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

Understand

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.
• It is demonstrated that this approach can provide a basis for the Tohline-Kuhn treatment of the astrophysical evidence for dark matter.