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.
- Authors:
- Publication Date:
- Research Org.:
- Univ. of Illinois at Urbana-Champaign, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1556826
- Alternate Identifier(s):
- OSTI ID: 1612304
- Grant/Contract Number:
- SC0015655
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 4; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; Astronomy & Astrophysics; Physics; Conformal symmetry
Citation Formats
Ciambelli, Luca, Leigh, Robert G., Marteau, Charles, and Petropoulos, P. Marios. Carroll structures, null geometry, and conformal isometries. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.100.046010.
Ciambelli, Luca, Leigh, Robert G., Marteau, Charles, & Petropoulos, P. Marios. Carroll structures, null geometry, and conformal isometries. United States. https://doi.org/10.1103/PhysRevD.100.046010
Ciambelli, Luca, Leigh, Robert G., Marteau, Charles, and Petropoulos, P. Marios. Mon .
"Carroll structures, null geometry, and conformal isometries". United States. https://doi.org/10.1103/PhysRevD.100.046010.
@article{osti_1556826,
title = {Carroll structures, null geometry, and conformal isometries},
author = {Ciambelli, Luca and Leigh, Robert G. and Marteau, Charles and Petropoulos, P. Marios},
abstractNote = {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.},
doi = {10.1103/PhysRevD.100.046010},
journal = {Physical Review D},
number = 4,
volume = 100,
place = {United States},
year = {2019},
month = {8}
}
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https://doi.org/10.1103/PhysRevD.100.046010
https://doi.org/10.1103/PhysRevD.100.046010
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Cited by: 3 works
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