Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
General Relativity and Quantum Cosmology
2015-06-18 v5 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The Carroll group was originally introduced by Levy-Leblond [1] by considering the limit of the Poincar\'e group as . 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 is established. Our theory is illustrated by Carrollian electromagnetism.
Keywords
Cite
@article{arxiv.1402.0657,
title = {Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time},
author = {C. Duval and G. W. Gibbons and P. A. Horvathy and P. M. Zhang},
journal= {arXiv preprint arXiv:1402.0657},
year = {2015}
}
Comments
32 pages, no figures. A minor error corrected. Accepted for publication in Classical and Quantum Gravity