Geometry and action of arrays of disclinations in crystals and relation to (2+1)-dimensional gravitation
- 1 September 1988
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 5 (9) , 1259-1282
- https://doi.org/10.1088/0264-9381/5/9/010
Abstract
Planar arrays of disclinations in crystals are described using conformal mappings of the Schwarz-Christoffel type. The point singularities of the maps are related to the cores of disclinations and the latter to mass sources in (2+1)-dimensional gravitation. Disclination dipoles correspond to dislocations and some of the latter may be associated with spinning particles in gravitation; collective states of defects are related to cosmological models. Finally a new action functional for defect systems is presented, using differential geometric methods.Keywords
This publication has 23 references indexed in Scilit:
- Bombelliet al. replyPhysical Review Letters, 1988
- Space-time as a causal setPhysical Review Letters, 1987
- Geometrical structure of torsional and rotational degrees of freedom in defect systemsPhysica A: Statistical Mechanics and its Applications, 1985
- On the significance of conservation laws in two-dimensional meltingPhysica A: Statistical Mechanics and its Applications, 1985
- Quantum string theory effective actionNuclear Physics B, 1985
- Cosmological solutions of a quadratic theory of gravity with torsionPhysics Letters A, 1984
- Three-Dimensional Massive Gauge TheoriesPhysical Review Letters, 1982
- Theory of Two-Dimensional MeltingPhysical Review Letters, 1978
- A Report on Harmonic MapsBulletin of the London Mathematical Society, 1978
- General relativity with spin and torsion: Foundations and prospectsReviews of Modern Physics, 1976