Trajectories in a space with a spherically symmetric dislocation

Details Trajectories in a space with a spherically symmetric dislocation Trajectories in a space with a spherically symmetric dislocation

2012-03-24

arxiv.org/abs/1203.5421v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 3 figures

Scientific paper

We consider a new type of defect in the scope of linear elasticity theory, using geometrical methods. This defect is produced by a spherically symmetric dislocation, or ball dislocation. We derive the induced metric as well as the affine connections and curvature tensors. Since the induced metric is discontinuous, one can expect ambiguity coming from these quantities, due to products between delta functions or its derivatives, plaguing a description of ball dislocations based on the Geometric Theory of Defects. However, exactly as in the previous case of cylindric defect, one can obtain some well-defined physical predictions of the induced geometry. In particular, we explore some properties of test particle trajectories around the defect and show that these trajectories are curved but can not be circular orbits.

Affiliated with

Also associated with

No associations

Rating

Trajectories in a space with a spherically symmetric dislocation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Trajectories in a space with a spherically symmetric dislocation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Trajectories in a space with a spherically symmetric dislocation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-39156