Toward a Nonlocal Theory of Gravitation

Abstract

The nonlocal theory of accelerated systems is extended to linear gravitational waves as measured by accelerated observers in Minkowski spacetime. The implications of this approach are discussed. In particular, the nonlocal modifications of helicity-rotation coupling are pointed out and a nonlocal wave equation is presented for a special class of uniformly rotating observers. The results of this study, via Einstein's heuristic principle of equivalence, provide the incentive for a nonlocal classical theory of the gravitational field.

15 pages, no figures, accepted for publication in Ann. Phys. (Leipzig)

Cited by in corpus (12)

• Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
• Nonlocal Gravity Simulates Dark Matter
• A formal framework for a nonlocal generalization of Einstein's theory of gravitation
• Nonlocal Modification of Newtonian Gravity
• Nonlocal Gravity: The General Linear Approximation
• Necessity of Acceleration-Induced Nonlocality
• Constitutive law of nonlocal gravity
• Spin-rotation couplings: spinning test particles and Dirac field
• Nonlocal Dirac Equation for Accelerated Observers
• Galaxy rotation curves and preferred reference frame effects
• The Klein-Gordon equation in Machian model
• The modified Newtonian dynamics with an extra anti-dissipation term can yield the MOND model