Carroll structures, null geometry, and conformal isometries

Luca Ciambelli, Robert G. Leigh, Charles Marteau, P. Marios Petropoulos

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Article number046010
JournalPhysical Review D
Volume100
Issue number4
DOIs
StatePublished - Aug 12 2019

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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