Double Kerr-Schild spacetimes and the Newman-Penrose map

Journal Article · 03 October 2023 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep10(2023)010 · OSTI ID:2329248

Farnsworth, Kara ^[1]; Graesser, Michael L.  ^[2]; Herczeg, Gabriel ^[3]

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1. University of Geneva (Switzerland)
2. Los Alamos National Laboratory (LANL), Los Alamos, NM (United States). Theoretical Division
3. Brown University, Providence, RI (United States)

The Newman-Penrose map, which is closely related to the classical double copy, associates certain exact solutions of Einstein’s equations with self-dual solutions of the vacuum Maxwell equations. Here we initiate an extension of the Newman-Penrose map to a broader class of spacetimes. As an example, we apply principles from the Newman-Penrose map to associate a self-dual gauge field to the Kerr-Taub-NUT-(A)dS spacetime and we show that the result agrees with previously studied examples of classical double copies. The corresponding field strength exhibits a discrete electric-magnetic duality that is distinct from its (Hodge star) self-dual property.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Laboratory Directed Research and Development (LDRD) Program; Swiss National Science Foundation (SNSF); Simons Foundation
• Grant/Contract Number: 89233218CNA000001; AC52-06NA25396; 200021-205016; 658908
• OSTI ID: 2329248
• Report Number(s): LA-UR-23-26863; TRN: US2409901
• Journal Information: Journal of High Energy Physics (Online), Vol. 2023, Issue 10; ISSN 1029-8479
• Publisher: Springer NatureCopyright Statement
• Country of Publication: United States
• Language: English