Abstract
This paper is the third part of the induction theory of gravitational field. It mainly discusses some propagation characteristics of electromagnetic wave in the space-time constructed in the first paper [Y. Yi, Phys. Essays 33, 219 (2020)]. In this paper, a new definition of the basic properties of electromagnetic wave is given at first. Second, the photoelectric effect is explained by the new electromagnetic wave properties. Then, the propagation law of electromagnetic wave in space-time is discussed. Finally, the propagation law of electromagnetic wave in axisymmetric gravitational field is analyzed. According to the analysis in this paper, the propagation path of electromagnetic wave is unique in the spherical symmetric gravitational field, while the propagation path of electromagnetic wave in the axisymmetric gravitational field is related to the wavelength. This is the difference between the induction theory of gravitational field and the existing theory, which can be used to verify the theory of gravitational field induction.
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