Formal framework for a nonlocal generalization of Einstein’s theory of gravitation

Friedrich W. Hehl and Bahram Mashhoon
Phys. Rev. D 79, 064028 – Published 26 March 2009

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

  • Received 3 February 2009

DOI:https://doi.org/10.1103/PhysRevD.79.064028

©2009 American Physical Society

Authors & Affiliations

Friedrich W. Hehl*

  • Institute for Theoretical Physics, University of Cologne, 50923 Köln, Germany and Department of Physics and Astronomy, University of Missouri, Columbia, Missouri 65211, USA

Bahram Mashhoon

  • Department of Physics and Astronomy, University of Missouri, Columbia, Missouri 65211, USA

  • *hehl@thp.uni-koeln.de
  • mashhoonb@missouri.edu

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Issue

Vol. 79, Iss. 6 — 15 March 2009

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