2014/02/28 by C. Duval, G. W. Gibbons, P. A. Horvathy +1 · 5 citations
Mathematics · Physics and Astronomy · #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/0264-9381/31/8/085016
32 pages, no figures. A minor error corrected. Accepted for publication in Classical and Quantum Gravity
arxiv created 2014/03/11 · arxiv updated 2015/06/18
The Carroll group was originally introduced by Levy-Leblond [1] by considering the limit of the Poincaré group as c→0. 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→∞ is established. Our theory is illustrated by Carrollian electromagnetism.