Interaction of electromagnetic and gravitational waves in the weak and short wave limit. (English) Zbl 1079.83539

Tokuoka, Tatsuo

Prog. Theor. Phys. 54, No. 5, 1309-1317 (1975).

Summary: The interaction and the transformation of electromagnetic and gravitational waves in an external electromagnetic field are analyzed. The Einstein-Maxwell field equations are used, and the waves are assumed to be weak and have a short wavelength. The electromagnetic and gravitational potentials are assumed to be sums of potentials of the background and of the wave. In the limit of weak and short wave, the wave potentials can be separated uniquely from the curved background potentials. When an electromagnetic field exists, the energy current densities of two waves may change along a ray, while the total current density remains constant along it. The differential equations governing the interaction of the two waves are identical with the equations derived from the theory of singular surface.

MSC:

83C25

Approximation procedures, weak fields in general relativity and gravitational theory