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Gravitational analogue of the Aharonov-Bohm effect in four and three dimensions

Valdir B. Bezerra

  • Universidade Federal da Paraíba, Departamento de Física, CCEN, 58.000 Joo Pessoa, PB, Brazil

Phys. Rev. D 35, 2031 – Published 15 March, 1987

DOI: https://doi.org/10.1103/PhysRevD.35.2031

Abstract

Using the path-ordered products of the relevant affine connection we examine the effect of the parallel transport of vectors and spinors (three-dimensional case only) around closed paths (circles) in the field corresponding to the cylindrically symmetric cosmic string. We compute the solution for three-dimensional gravity also.

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