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 <>
Soumis le : lundi 10 avril 2017 - 11:15:03
Dernière modification le : lundi 31 juillet 2017 - 17:19:29
