Journal
PHYSICAL REVIEW D
Volume 100, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.100.046010
Keywords
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Funding
- Perimeter Institute for Theoretical Physics
- US Department of Energy [DE-SC0015655]
- Government of Canada through the Department of Innovation, Science, and Economic Development Canada
- Province of Ontario through the Ministry of Research, Innovation, and Science
- [ANR-16-CE31-0004]
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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.
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