Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-01-19
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
9 pages, based on invited lectures delivered at the XIV Brazilian School of Cosmology and Gravitation (August 30 - September 1
Scientific paper
The analysis of measurements of accelerated observers in Minkowski spacetime has led to the development of nonlocal special relativity theory. Inertia and gravitation are intimately connected in accordance with the principle of equivalence. We therefore seek a nonlocal generalization of the theory of gravitation such that in the new theory the field equations are integro-differential equations for the local gravitational field. We show that it is possible to develop a nonlocal generalization of Einstein's theory of gravitation via the introduction of a scalar "constitutive" kernel in the teleparallel equivalent of general relativity. The resulting nonlocal theory is essentially equivalent to Einstein's theory plus "dark matter". That is, nonlocality simulates dark matter by introducing a new source term into general relativity. In the linear approximation for the nonlocal modification of Newtonian gravity, we recover the theoretical basis for the phenomenological Tohline-Kuhn modified gravity approach to the explanation of the astrophysical evidence for dark matter.
No associations
LandOfFree
Nonlocal Gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Nonlocal Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlocal Gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-157334