Scattering on dislocations and cosmic strings in the geometric theory of defects

DOI10.1006/aphy.1998.5859zbMath0922.73051arXivgr-qc/9801081OpenAlexW3106080630MaRDI QIDQ1283696

M. O. Katanaev, Igor V. Volovich

Publication date: 22 April 1999

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9801081

zbMATH Keywords

extremalsconformal mapselastic wavesdipole approximationmonopole approximationquadrupole approximationdeficit anglesparallel wedge dislocationstorsion singularities

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Applications of differential geometry to physics (53Z05) Micromechanical theories (74A60) Space-time singularities, cosmic censorship, etc. (83C75)

Related Items (13)

Dynamics on the cone: Closed orbits and superintegrability ⋮ Deformations of the spin currents by topological screw dislocation and cosmic dispiration ⋮ Geodesics in a space with a spherically symmetric dislocation ⋮ Rotational elastic waves in double wall tube ⋮ Unnamed Item ⋮ The \(T(3)\)-gauge model, the Einstein-like gauge equation, and Volterra dislocations with modified asymptotics. ⋮ Noninertial effects on nonrelativistic topological quantum scattering ⋮ Chern-Simons action and disclinations ⋮ Disclinations in the geometric theory of defects ⋮ Gauge parameterization of the \(n\)-field ⋮ Tube dislocations in gravity ⋮ Aharonov-Bohm effect in the presence of a density of defects ⋮ Volume elements and torsion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A gauge theory of dislocations and disclinations
• Non-abelian bosonization as a nonholonomic transformation from a flat to a curved field space
• Theory of defects in solids and three-dimensional gravity
• \((2+1)\)-Gravity with moving particles in an instantaneous gauge
• Solving the \(N\)-body problem in \((2+1)\) gravity
• Geodesics around a dislocation
• Geometry and action of arrays of disclinations in crystals and relation to (2+1)-dimensional gravitation
• Topological properties of linked disclinations and dislocations in solid continua
• ANOMALOUS DEFECTS AND THEIR QUANTIZED TRANSVERSE CONDUCTIVITIES
• (2 + 1)-gravity solutions with spinning particles
• Volterra distortions, spinning strings, and cosmic defects
• Line defects in solid continua and point particles in (2 + 1)-dimensional gravity

This page was built for publication: Scattering on dislocations and cosmic strings in the geometric theory of defects