Abstract : The well-known 5-parameter isometry group of plane gravitational waves in $4$ dimensions is identified as Levy-Leblond's Carroll group in $2+1$ dimensions with no rotations. Our clue is that plane waves are Bargmann spaces into which Carroll manifolds can be embedded. We also comment on the scattering of light by a gravitational wave and calculate its electric permittivity considered as an impedance-matched metamaterial.
https://hal.archives-ouvertes.fr/hal-01504485
Contributeur : Christian Duval
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Soumis le : mercredi 25 avril 2018 - 15:22:34
Dernière modification le : vendredi 4 mai 2018 - 01:24:37
