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Title: 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.
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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
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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.
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@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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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.100.046010
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Works referenced in this record:

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