Carroll structures, null geometry, and conformal isometries

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 tenso...

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Veröffentlicht in:Phys.Rev.D 2019-08, Vol.100 (4), p.1, Article 046010
Hauptverfasser: Ciambelli, Luca, Leigh, Robert G., Marteau, Charles, Petropoulos, P. Marios
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Marteau, Charles
Petropoulos, P. Marios
description 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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subjects General Relativity and Quantum Cosmology
High Energy Physics - Theory
Hyperspaces
Isomorphism
Manifolds (mathematics)
Physics
Tensors
title Carroll structures, null geometry, and conformal isometries
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