✦ LIBER ✦

Geodesics on non-Riemannian geometric theory of planar defects

✍ Scribed by L.C. Garcia de Andrade

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 37 KB
Volume: 256
Category: Article
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(99)00254-6

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✦ Synopsis

The method of Hamilton-Jacobi is used to obtain geodesics around non-Riemannian planar torsional defects. It is shown Ž . that contrary to the case of linear torsion defects dislocations no perturbation expansion in the Cartan torsion is needed to obtain the geodesics around the defects. An example of a conformally flat dilatonic domain wall is given where the geodesics are computed by the usual Riemann-Christoffel method. In both cases exact solutions are obtained and the domain wall clearly contains repulsive torsion forces. Trajectories are parabolic and reduce to straight lines in the case the Ž . Burgers vector torsion vanishes.

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