The Newman-Penrose map and the classical double copy

Elor, Gilly; Farnsworth, Kara; Graesser, Michael L.; Herczeg, Gabriel

doi:10.1007/jhep12(2020)121

The Newman-Penrose map and the classical double copy

Journal Article · Fri Dec 18 04:00:00 EST 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep12(2020)121· OSTI ID:1774147

Elor, Gilly ^[1]; Farnsworth, Kara ^[2]; Graesser, Michael L. ^[3]; Herczeg, Gabriel ^[4]

Univ. of Washington, Seattle, WA (United States); University of Washington
Czech Academy of Sciences, Prague (Czech Republic)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Brown Univ., Providence, RI (United States)

Gauge-gravity duality is arguably our best hope for understanding quantum gravity. Considerable progress has been made in relating scattering amplitudes in certain gravity theories to those in gauge theories — a correspondence dubbed the double copy. Recently, double copies have also been realized in a classical setting, as maps between exact solutions of gauge theories and gravity. We present here a novel map between a certain class of real, exact solutions of Einstein’s equations and self-dual solutions of the flat-space vacuum Maxwell equations. This map, which we call the Newman-Penrose map, is well-defined even for non-vacuum, non-stationary spacetimes, providing a systematic framework for exploring gravity solutions in the context of the double copy that have not been previously studied in this setting. To illustrate this, we present here the Newman- Penrose map for the Schwarzschild and Kerr black holes, and Kinnersley’s photon rocket.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Washington, Seattle, WA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0011637

OSTI ID:: 1774147

Alternate ID(s):: OSTI ID: 1807834

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 12 Vol. 2020; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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