On the invariance in the inhomogeneous Lorentz group SO(1,3) in the context of optical vortex description

DOI10.1007/S10714-021-02788-1zbMath1482.83038OpenAlexW3124915843MaRDI QIDQ2060454

Yuriy A. Portnov

Publication date: 13 December 2021

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10714-021-02788-1

zbMATH Keywords

invarianceEuler anglesoptical vorticessolid body rotationinhomogeneous Lorentz group as a Riemannian spacethe geodesic principle

Mathematics Subject Classification ID

Gravitational energy and conservation laws; groups of motions (83C40) Special relativity (83A05) Structure and representation of the Lorentz group (22E43) Physical optics (78A10) Sub-Riemannian geometry (53C17) Motion of the gyroscope (70E05)

Cites Work

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• Gravitational interaction in seven-dimensional space-time
• Field on Poincaré group and quantum description of orientable objects
• Rotational relativity theory
• Some aspects of Holst and Nieh–Yan terms in general relativity with torsion
• Dislocations in wave trains
• Free quantum fields on the Poincaré group

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