Gaussian curvature and global effects: Gravitational Aharonov-Bohm effect revisited

  title={Gaussian curvature and global effects: Gravitational Aharonov-Bohm effect revisited},
  author={M. Nouri-Zonoz and A. Parvizi},
  journal={Physical Review D},
Using the Gauss-Bonnet formula, integral of the Gaussian curvature over a 2-surface enclosed by a curve in the asymptotically flat region of a static spacetime was found to be a measure of a gravitational analogue of Aharonov-Bohm effect by Ford and Vilenkin in the linearized regime. Employing the 1+3 formulation of spacetime decomposition we study the same effect in the context of full Einstein field equations for stationary spacetimes. Applying our approach to static tube-like and cylindrical… Expand

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