Geometry and action of arrays of disclinations in crystals and relation to (2+1)-dimensional gravitation

Details Geometry and action of arrays of disclinations in crystals and relation to (2+1)-dimensional gravitation Geometry and action of arrays of disclinations in crystals and relation to (2+1)-dimensional gravitation

Sep 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988cqgra...5.1259h&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 5, Sept. 1, 1988, p. 1259-1282. DFG-supported research.

Mathematics

17

Conformal Mapping, Crystal Structure, Gravitation Theory, Singularity (Mathematics), Cosmology, Crystal Defects, Crystal Lattices, Schwarz-Christoffel Transformation

Scientific paper

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 diposes 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.

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