Gravitational Aharonov-Bohm effect

被引:4
|
作者
Heller, Michael [1 ]
Odrzygozdz, Zdzislaw [2 ]
Pysiak, Leszek [2 ]
Sasin, Wieslaw [2 ]
机构
[1] Vatican Observ, Vatican 00120, Vatican City St, Italy
[2] Warsaw Univ Technol, Dept Math & Informat Sci, PL-00661 Warsaw, Poland
关键词
gravitational Aharonov-Bohm effect; quasiregular singularity; fundamental groupoid;
D O I
10.1007/s10773-008-9690-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页码:2566 / 2575
页数:10
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