Gravitational Aharonov-Bohm Effect |
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| Authors: | Michael Heller Zdzisław Odrzygóźdź Leszek Pysiak Wiesław Sasin |
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| Institution: | (1) Vatican Observatory, 00120 Vatican, Vatican City State;(2) Present address: ul. Powstańców Warszawy 13/94, 33-100 Tarnów, Poland;(3) Department of Mathematics and Information Science, Warsaw University of Technology, Plac Politechniki 1, 00-661 Warsaw, Poland |
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| Abstract: | We study a purely gravitational Aharonov-Bohm effect. The space-time curvature is concentrated in the quasiregular singularity
of a cosmic string, outside of which space-time is (locally) flat. The symmetries of this field configuration are described
by the groupoid symmetries rather than by the usual group symmetries. The groupoid in question is formed by homotopy classes
of piecewise smooth paths in the cosmic string region. A gravitational counterpart of the Aharonov-Bohm effect occurs if the
symmetry of the system, with respect to the groupoid action, is broken down. |
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| Keywords: | Gravitational Aharonov-Bohm effect Quasiregular singularity Fundamental groupoid |
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