The Newman-Penrose Map and the Classical Double Copy
Jun 15, 2020
39 pages
Published in:
- JHEP 12 (2020) 121
- Published: Dec 18, 2020
e-Print:
- 2006.08630 [hep-th]
Report number:
- LA-UR-20-23506
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Abstract: (Springer)
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.Note:
- 37 pages, 2 figures, v2: 39 pages, 2 figures, typos fixed, references added
- Black Holes
- Classical Theories of Gravity
- Einstein equation: solution
- black hole: Kerr
- gravitation
- scattering amplitude
- gauge field theory
- Maxwell equation
- quantum gravity
- black hole: Schwarzschild
References(78)
Figures(2)