English

Tube dislocations in gravity

General Relativity and Quantum Cosmology 2015-05-13 v1

Abstract

We consider static massive thin cylindrical shells (tubes) as the sources in Einstein's equations. They correspond to \dl\dl- and \dl\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.

Keywords

Cite

@article{arxiv.0810.0243,
  title  = {Tube dislocations in gravity},
  author = {G. de Berredo-Peixoto and M. O. Katanaev},
  journal= {arXiv preprint arXiv:0810.0243},
  year   = {2015}
}

Comments

27 pages, 3 figures

R2 v1 2026-06-21T11:26:20.846Z