The equations of electrodynamics in a space with its metric defined through rotation
DOI:
https://doi.org/10.3103/S0735272705110051Abstract
The known covariant Maxwell equations are applied to description of excitation of electromagnetic field by electric charges and currents. The covariant Maxwell equations are formulated for the case of excitation of electromagnetic field by external magnetic charges and currents, supplemented with so-called material equations. The components of the electromagnetic field are identified with the tensor components. Relationships are established between the field intensity and the induction, when passing from Cartesian system to the rotational one and vise versa. Formulation of boundary conditions is presented, and the inhomogeneous wave equations are formulated.References
PETROV, B.M. A radar technique for measurement of rotation velocity, SU Patent No. 278263, acc. 21 Feb. 1969, Bull. Izobr., n.45, p.145, 1974.
PETROV, B.M. The field and the directivity characteristics of a unit radiator in a rotating antenna array. Antennas, n.18, p.41-53, 1973.
PETROV, B.M. Directional properties of rotary antenna arrays. Antennas, n.18, p.53-62, 1973.
PETROV, B.M. Excitation of electromagnetic field by rotatry sources. Antennas, n.24, p.81-94, 1976.
PETROV, B.M. Spektralnye harakteristiki polia rasseianiia ravnomerno peremeshchaiushchegosia i vrashchaiushchegosia impedansnogo tcilindra. Radiotekhnika i Elektronika, n.9, p.1799-1806, 1972.
PETROV, B.M. Rasseianie elektromagnitnykh voln vrashchaiushchimsia metallicheskim tcilindrom. Radioelectron. Commun. Syst., v.15, n.1, p.13-21, 1972.
POST, E.J. Formal Structure of Electromagnetics. Amsterdam: North-Holland Publ. Comp., 1962.
SKHOUTEN, Y.N. Tensor Analysis for Physicists [in Russian]. Moscow: Nauka, 1965.
LANDAU, L.D.; LIFSHITS, Y.M. The Field Theory, 5th ed. [in Russian]. Moscow: Izd-vo FML, 1967.
KOCHIN, N.Y. Vector Calculus and Elements of Tensor Calculus [in Russian]. Moscow: Nauka, 1965.
