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Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time

Abstract : The Carroll group was originally introduced by Lévy-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.
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Contributor : Christian Duval <>
Submitted on : Monday, March 3, 2014 - 3:41:59 PM
Last modification on : Thursday, March 5, 2020 - 5:33:12 PM

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Christian Duval, G. W. Gibbons, P. A. Horvathy, P. M. Zhang. Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time. Classical and Quantum Gravity, IOP Publishing, 2014, 31 (085016), 24pp. ⟨10.1088/0264-9381/31/8/085016⟩. ⟨hal-00954847⟩

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