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arXiv 2003.07281gr-qc
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On the Quantization of Burgers Vector and Gravitational Energy in the Space-Time of a Conical Defect

F. L. Carneiro, S. C. Ulhoa, J. F. da Rocha-Neto, J. W. Maluf

英文摘要:

A conical topological defect is the result of translational and/or rotational deformations of spacetime, in particular the Burgers vector describes the translational deformation. Such a configuration represents a discontinuity, that cannot be removed by coordinate transformations, and is related to the spacetime torsion. Using the Teleparallel Equivalent of General Relativity (TERG), a gravitational theory that is dynamically equivalent to General Relativity (GR), we investigate the consequences of assuming a discrete Burgers vector on the geodesic motion of particles around a static conical defect. The result is a helical geodesic motion of a test particle around the defect, with a discrete step that depends on the magnitude of the dislocation.

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