Using the analogy with the properties of plane electromagnetic waves in Minkowski space, a definition of an affine-metric space of the plane wave type is given, which is characterized by the null action of the Lie derivative on the 40 components of the nonmetricity 1-form in the 4-dimensional affine-metric space. This leads to the conclusion that the nonmetricity of a plane wave type is determined by five arbitrary functions of delayed time. A theorem on the structure of the nonmetricity of the plane wave type is proved, which states that parts of the nonmetricity 1-form irreducible with respect to the Lorentz transformations of the tangent space, such as the Weyl 1-form, the trace 1-form, and the symmetric 1-form, are defined by one arbitrary function each, and the antisymmetric 1-form is defined by two arbitrary functions. Presence of arbitrary functions in the description of nonmetricity plane waves allows transmitting information with the help of nonmetricity waves. © Published under licence by IOP Publishing Ltd.

Authors

Conference proceedings

Publisher

Institute of Physics Publishing

Number of issue

1

Language

English

Status

Published

Number

012012

Volume

1557

Year

2020

Organizations

^{1}Moscow Automobile and Road Construction State Technical University (MADI), Moscow, Russian Federation^{2}Institute of Physics, Technology and Information Systems, Moscow Pedagogical State University (MSPU), Moscow, Russian Federation^{3}Peoples' Friendship University of Russia (PFUR), Moscow, Russian Federation

Keywords

Electromagnetic waves; Relativity; Set theory; Topology; Wave propagation; Anti-symmetric; Arbitrary functions; Lie derivative; Lorentz transformations; Metric spaces; Minkowski space; Plane electromagnetic waves; Tangent space; Elastic waves

Date of creation

02.11.2020

Date of change

02.11.2020

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Journal of Physics: Conference Series.
Institute of Physics Publishing.
Vol. 1557.
2020.

European Journal of Organic Chemistry.
Vol. 2020.
2020.
P. 3378-3389