Theory of defects in solids and three-dimensional gravity. (English) Zbl 0875.53018
Summary: Description of continuous distribution of dislocations and disclinations in the framework of Riemann-Cartan geometry is discussed. The action describing static distribution of defects is proposed. It is the unique combination of three-dimensional curvature and torsion squared terms. Known stationary \(M\) point particles solution of three-dimensional gravity are interpreted as describing linear defects in solids.
MSC:
| 53Z05 | Applications of differential geometry to physics |
| 74A99 | Generalities, axiomatics, foundations of continuum mechanics of solids |
| 83C99 | General relativity |
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