Exact solution to the homogeneous Maxwell equations in the field of a gravitational wave in linearized theory

Details Exact solution to the homogeneous Maxwell equations in the field of a gravitational wave in linearized theory Exact solution to the homogeneous Maxwell equations in the field of a gravitational wave in linearized theory

1998-10-27

arxiv.org/abs/gr-qc/9810082v1

Class.Quant.Grav. 16 (1999) 643-652

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages; revtex; accepted for publication in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/16/2/025

We present the exact solution to the linearized Maxwell equations in space-time slightly curved by a gravitational wave. We show that in general, even dealing with a first-order theory in the strength of the gravitational field, the solution can not be written as the sum of the flat space-time one and a weak perturbation due to the external field. Such an impossibility arises when either the frequency of the gravitational wave is too low or too high with respect to the one of the electromagnetic field. We also provide an application of the solution to the case of an electromagnetic field bounced between two parallel conducting planes.

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