Geodesics on non-Riemannian Geometric theory of Planar Defects

Details Geodesics on non-Riemannian Geometric theory of Planar Defects Geodesics on non-Riemannian Geometric theory of Planar Defects

1998-11-03

arxiv.org/abs/gr-qc/9811011v1

Phys.Lett. A256 (1999) 291-293

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, Latex

Scientific paper

10.1016/S0375-9601(99)00254-6

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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