Interaction of Electromagnetic and Gravitational Waves in the Weak and Short Wave Limit
Abstract
The interaction and the transformation of electromagnetic and gravitational waves in an external electromagnetic field are analyzed. The EinsteinMaxwell 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.
 Publication:

Progress of Theoretical Physics
 Pub Date:
 November 1975
 DOI:
 10.1143/PTP.54.1309
 Bibcode:
 1975PThPh..54.1309T
 Keywords:

 Einstein Equations;
 Electromagnetic Radiation;
 Gravitational Waves;
 Maxwell Equation;
 Wave Interaction;
 Field Theory (Physics);
 SpaceTime Functions;
 Transformations (Mathematics);
 Wave Propagation;
 Physics (General)