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Electromagnetic field in 3 dimensionnal compact hyperbolic manifolds

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Abstract

Compact three dimensional spaces of constant curvature without border can be considered as cavities for free electromagnetic fields. For space-times of the form : t ⊗ staticspace , this note shows that the electromagnetic field spectrum is the same as the Laplacian eigenvalue spectrum of a scalar field in those spaces.
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Dates and versions

hal-01996139 , version 1 (28-01-2019)

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  • HAL Id : hal-01996139 , version 1

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Jean Pierre P Pansart. Electromagnetic field in 3 dimensionnal compact hyperbolic manifolds. 2019. ⟨hal-01996139⟩
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