Abstract

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.

Details

Title
On the quantization of Burgers vector and gravitational energy in the space-time of a conical defect
Author
Carneiro, F L 1 ; Ulhoa, S C 2 ; da Rocha-Neto J F 1 ; Maluf, J W 1 

 Universidade de Brasília, Instituto de Física, Brasília, Brazil (GRID:grid.7632.0) (ISNI:0000 0001 2238 5157) 
 Universidade de Brasília, Instituto de Física, Brasília, Brazil (GRID:grid.7632.0) (ISNI:0000 0001 2238 5157); Universidade de Brasília, International Center of Physics, Instituto de Física, Brasília, Brazil (GRID:grid.7632.0) (ISNI:0000 0001 2238 5157) 
Publication year
2020
Publication date
Mar 2020
Publisher
Springer Nature B.V.
ISSN
14346044
e-ISSN
14346052
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2375288262
Copyright
The European Physical Journal C is a copyright of Springer, (2020). All Rights Reserved. This work is published under https://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.