Physics
Scientific paper
Feb 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978gregr...9..123t&link_type=abstract
General Relativity and Gravitation, vol. 9, Feb. 1978, p. 123-153.
Physics
4
Boundary Value Problems, Electromagnetic Fields, Electromagnetic Radiation, Gravitational Waves, Boundary Conditions, Field Theory (Physics), Gravitation Theory, Perturbation Theory, Quantum Electrodynamics, Relativistic Theory
Scientific paper
The analysis concerns the modifications of an electromagnetic field in a cavity induced by the presence of a gravitational wave. First, only the boundary coupling is considered; that is, the modification in the boundary conditions satisfied by the radiation is determined. The approach is via a relativistic equation of continuous media. The cavity is assumed to be a good conductor, so that the boundary conditions are obtained through a covariant generalization of the method of setting the electric field orthogonal to the walls. In the weak field approximation and with the use of the equations of a viscoelastic medium, order-of-magnitude estimates for the perturbations of the fields are obtained for an electromagnetic cavity bounded by two parallel plane sheets when resonance conditions prevail. Intrinsic coupling is then considered, and in a first-order approximation in the framework of classical gravitational theory, transitions between quantum electromagnetic states in a cavity are calculated.
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