The classical double copy in maximally symmetric spacetimes
Abstract
The classical double copy procedure relates classical asymptotically-flat gravitational field solutions to Yang-Mills and scalar field solutions living in Minkowski space. With this being said, we extend this correspondence to maximally symmetric curved spacetimes in this paper. We consider asymptotically (A)dS spacetimes in Kerr-Schild form and construct the corresponding single and zeroth copies. In order to clarify the interpretation of these copies, we study several examples including (A)dS-Schwarzschild, (A)dS-Kerr, black strings, black branes, and waves, paying particular attention to the source terms. We find that the single and zeroth copies of stationary solutions satisfy different equations than those of wave solutions. We also consider how to obtain Einstein-Maxwell solutions using this procedure. Finally, we derive the classical single and zeroth copy of the BTZ black hole.
- Authors:
-
- Univ. of Pennsylvania, Philadelphia, PA (United States)
- Publication Date:
- Research Org.:
- Univ. of Pennsylvania, Philadelphia (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1498538
- Grant/Contract Number:
- SC0013528
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 4; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; Scattering Amplitudes; Black Holes; Gauge Symmetry
Citation Formats
González, Mariana Carrillo, Penco, Riccardo, and Trodden, Mark. The classical double copy in maximally symmetric spacetimes. United States: N. p., 2018.
Web. doi:10.1007/jhep04(2018)028.
González, Mariana Carrillo, Penco, Riccardo, & Trodden, Mark. The classical double copy in maximally symmetric spacetimes. United States. https://doi.org/10.1007/jhep04(2018)028
González, Mariana Carrillo, Penco, Riccardo, and Trodden, Mark. Fri .
"The classical double copy in maximally symmetric spacetimes". United States. https://doi.org/10.1007/jhep04(2018)028. https://www.osti.gov/servlets/purl/1498538.
@article{osti_1498538,
title = {The classical double copy in maximally symmetric spacetimes},
author = {González, Mariana Carrillo and Penco, Riccardo and Trodden, Mark},
abstractNote = {The classical double copy procedure relates classical asymptotically-flat gravitational field solutions to Yang-Mills and scalar field solutions living in Minkowski space. With this being said, we extend this correspondence to maximally symmetric curved spacetimes in this paper. We consider asymptotically (A)dS spacetimes in Kerr-Schild form and construct the corresponding single and zeroth copies. In order to clarify the interpretation of these copies, we study several examples including (A)dS-Schwarzschild, (A)dS-Kerr, black strings, black branes, and waves, paying particular attention to the source terms. We find that the single and zeroth copies of stationary solutions satisfy different equations than those of wave solutions. We also consider how to obtain Einstein-Maxwell solutions using this procedure. Finally, we derive the classical single and zeroth copy of the BTZ black hole.},
doi = {10.1007/jhep04(2018)028},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2018,
place = {United States},
year = {Fri Apr 06 00:00:00 EDT 2018},
month = {Fri Apr 06 00:00:00 EDT 2018}
}
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