Carroll structures, null geometry, and conformal isometries
By Luca Ciambelli, R. Leigh, Charles Marteau, P. Petropoulos. Physical Review D, 2019
139 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/0db6437f6cb3822487ae2915292b00ee624ec350
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In Applied Mathematics
In Astronomy and Astrophysics
In Nuclear and High Energy Physics
Citations in the corpus
- Carroll contractions of Lorentz-invariant theories (2021, background): “The one-form θα was actually considered more recently in the interesting work [26] where it was interpreted as an Ehresmann connection enabling one to split the tangent space into the direct sum of the one-dimensional null subspace generated by nα and a unique transverse subspace to this null direct”