The classical double copy in maximally symmetric spacetimes

González, Mariana Carrillo; Penco, Riccardo; Trodden, Mark

doi:10.1007/jhep04(2018)028

The classical double copy in maximally symmetric spacetimes

Journal Article · Fri Apr 06 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep04(2018)028· OSTI ID:1498538

González, Mariana Carrillo ^[1]; Penco, Riccardo ^[2]; Trodden, Mark ^[2]

Univ. of Pennsylvania, Philadelphia, PA (United States); Univ. of Pennsylvania, Philadelphia (United States)
Univ. of Pennsylvania, Philadelphia, PA (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Pennsylvania, Philadelphia (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0013528

OSTI ID:: 1498538

Alternate ID(s):: OSTI ID: 22739385

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 4 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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