On the propagation of electromagnetic radiation in the field of a plane gravitational wave

Montanari, E.

doi:10.1088/0264-9381/15/8/024

Cited by 24 publications

(38 citation statements)

References 27 publications

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“…It is thus unsurprising that the behaviour of an electromagnetic wave in a gravitational wave background has been an active subject for decades [16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

“…In such situations, it is normal practice to work in a linearised weak-field gravitational wave metric that is quite different from (3). Working in such a metric, Cooperstock [19] developed a perturbation scheme which he applied to plane electromagnetic waves bouncing between parallel conducting walls in a gravitational wave, while [20][21][22] obtained solutions to Maxwell equations corresponding to light beams.…”

Section: Introductionmentioning

confidence: 99%

“…In common with [20] and [21], this paper also uses a geometrical optics approximation to obtain the electromagnetic field, but, in contrast to existing treatments, the Kerr-Schild metric (3) is retained throughout. 2 The contrast between the background metrics may affect the predicted behaviour of the electromagnetic radiation.…”

Section: Introductionmentioning

confidence: 99%

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Electromagnetic waves in the Kerr–Schild metric

Christie

2007

Gen Relativ Gravit

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“…It is thus unsurprising that the behaviour of an electromagnetic wave in a gravitational wave background has been an active subject for decades [16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Electromagnetic waves in the Kerr–Schild metric

Christie

2007

Gen Relativ Gravit

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“…Balakin et al [17] have studied birefringence and Faraday rotation in the field of a gravitational wave. Polarization effects (including Faraday rotation) in the field of a gravitational wave have been also discussed, for example, by Cooperstock and Faraoni [18] and Montanari [19]. Finally, Dalvit et al [20] have computed the graviton one-loop corrections to Maxwell's equations, in the weak field approximation, showing that -under certain assumptions -these corrections mimic an isotropic medium with a timedependent effective refractive index.…”

Section: Introductionmentioning

confidence: 99%

Thomson scattering induced by gravitational waves

Sorge

Zilio

2005

Gen Relativ Gravit

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We investigate the effects of a weak gravitational wave, modelled as a gaussian wavepacket, on the polarization state of an electromagnetic field enclosed in a cavity. Our approach is semiclassical, in that the electromagnetic field is described as a quantum field, while the gravitational perturbation is treated classically, as a slightly curved background spacetime. Assuming that before the interaction the electromagnetic field has been prepared in a given polarization state, we show that -due to the gravitational scattering with the wave -some photons having different polarization states are found in the cavity at late times. Such polarization scattering has some resemblance with Thomson scattering, well-known in Quantum Electrodynamics: hence the motivation for the title. We give a numerical estimate of the resulting photon polarization spreading in the case of a typical gravitational burst from a final supernova rebound. We also briefly comment about the possible influence of such gravitational scattering on the Cosmic Microwave Background (CMB) polarization.

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“…However, a general solution within the framework of the full theory of general relativity would highlight the main features of a free electromagnetic field in radiative curved space-time. Indeed any possible ambiguity arising from approximation procedures could be circumvented [11,12]. We point out that such ambiguities exist not only when strong gravitational waves are concerned, but also may appear for weak gravitational fields as well.…”

Section: Introductionmentioning

confidence: 99%

Exact Plane Gravitational Waves and Electromagnetic Fields

Montanari

Calura

2000

Annals of Physics

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The behaviour of a "test" electromagnetic field in the background of an exact gravitational plane wave is investigated in the framework of Einstein's general relativity. We have expressed the general solution to the de Rham equations as a Fourier-like integral. In the general case we have reduced the problem to a set of ordinary differential equations and have explicitly written the solution in the case of linear polarization of the gravitational wave. We have expressed our results by means of Fermi Normal Coordinates (FNC), which define the proper reference frame of the laboratory. Moreover we have provided some gedanken experiments, showing that an external gravitational wave induces measurable effects of non tidal nature via electromagnetic interaction. Consequently it is not possible to eliminate gravitational effects on electromagnetic field, even in an arbitrarily small spatial region around an observer freely falling in the field of a gravitational wave. This is opposite to the case of mechanical interaction involving measurements of geodesic deviation effects. This behaviour is not in contrast with the principle of equivalence, which applies to arbitrarily small region of both space and time.

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On the propagation of electromagnetic radiation in the field of a plane gravitational wave

Cited by 24 publications

References 27 publications

Electromagnetic waves in the Kerr–Schild metric

Electromagnetic waves in the Kerr–Schild metric

Thomson scattering induced by gravitational waves

Exact Plane Gravitational Waves and Electromagnetic Fields

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