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Geodesics on non-Riemannian Geometric theory of Planar Defects

L. C. Garcia de Andrade
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Abstract

The method of Hamilton-Jacobi is used to obtain geodesics around non- Riemannian planar torsional defects.It is shown that by perturbation expansion in the Cartan torsion the geodesics obtained are parabolic curves along the plane x-z when the wall is located at the plane x-y.In the absence of defects the geodesics reduce to straight lines.The family of parabolas depend on the torsion parameter and describe a gravitationally repulsive domain wall.Torsion here plays the role of the Burgers vector in solid state physics.

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L. C. Garcia de Andrade. 1998-11-03. Geodesics on non-Riemannian Geometric theory of Planar Defects. https://doi.org/10.1016/s0375-9601(99)00254-6

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