@article{db1b3479b24d4d20b0da0e44530040e3,
title = "Carroll structures, null geometry, and conformal isometries",
abstract = "We study the concept of Carrollian spacetime starting from its underlying fiber-bundle structure. The latter admits an Ehresmann connection, which enables a natural separation of time and space, preserved by the subset of Carrollian diffeomorphisms. These allow for the definition of Carrollian tensors and the structure at hand provides the designated tools for describing the geometry of null hypersurfaces embedded in Lorentzian manifolds. Using these tools, we investigate the conformal isometries of general Carrollian spacetimes and their relationship with the BMS group.",
author = "Luca Ciambelli and Leigh, {Robert G.} and Charles Marteau and Petropoulos, {P. Marios}",
note = "Funding Information: We thank Glenn Barnich, Laurent Freidel, Kevin Morand, and Tassos Petkou for fruitful discussions. This research was supported in part by the ANR-16-CE31-0004 contract Black-dS-String, by Perimeter Institute for Theoretical Physics, and by the US Department of Energy under Contract No. DE-SC0015655. Research at Perimeter Institute is supported by the Government of Canada through the Department of Innovation, Science, and Economic Development Canada and by the Province of Ontario through the Ministry of Research, Innovation, and Science. The Ecole Polytechnique preprint number is CPHT-RR010.022019. Publisher Copyright: {\textcopyright} 2019 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the {"}https://creativecommons.org/licenses/by/4.0/{"} Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP ",
year = "2019",
month = aug,
day = "12",
doi = "10.1103/PhysRevD.100.046010",
language = "English (US)",
volume = "100",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "4",
}