Mathematics
Scientific paper
Nov 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975pthph..54.1309t&link_type=abstract
Progress of Theoretical Physics, vol. 54, Nov. 1975, p. 1309-1317.
Mathematics
7
Einstein Equations, Electromagnetic Radiation, Gravitational Waves, Maxwell Equation, Wave Interaction, Field Theory (Physics), Space-Time Functions, Transformations (Mathematics), Wave Propagation
Scientific paper
The interaction and 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 to 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 waves, the wave potentials can be separated uniquely from the curved background potentials. When an electromagnetic field exists, the energy 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 singular-surface theory.
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