Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
arXiv:1402.0657 · doi:10.1088/0264-9381/31/8/085016
Abstract
The Carroll group was originally introduced by Levy-Leblond [1] by considering the limit of the Poincaré group as $c\to0$. In this paper an alternative definition, based on the geometric properties of a non-Minkowskian, non-Galilean but nevertheless boost-invariant, space-time structure is proposed. A "duality" with the Galilean limit $c\to\infty$ is established. Our theory is illustrated by Carrollian electromagnetism.
32 pages, no figures. A minor error corrected. Accepted for publication in Classical and Quantum Gravity