pith. sign in

arxiv: 0810.0243 · v1 · pith:Q3DS5SRWnew · submitted 2008-10-01 · 🌀 gr-qc

Tube dislocations in gravity

classification 🌀 gr-qc
keywords generaltheoryambiguouscomponentsdefectseinsteinelasticityequations
0
0 comments X
read the original abstract

We consider static massive thin cylindrical shells (tubes) as the sources in Einstein's equations. They correspond to $\dl$- and $\dl'$-function type energy-momentum tensors. The corresponding metric components are found explicitly. They are not continuous functions in general and lead to ambiguous curvature tensor components. Nevertheless all ambiguous terms in Einstein's equations safely cancel. The interplay between elasticity theory, geometric theory of defects, and General Relativity is analyzed. The elasticity theory provides a simple picture for defects creation and a new look on General Relativity.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.