The classical double copy for Taub-NUT spacetime
arXiv:1507.01869 · doi:10.1016/j.physletb.2015.09.021
Abstract
The double copy is a much-studied relationship between gauge theory and gravity amplitudes. Recently, this was generalised to an infinite family of classical solutions to Einstein's equations, namely stationary Kerr-Schild geometries. In this paper, we extend this to the Taub-NUT solution in gravity, which has a double Kerr-Schild form. The single copy of this solution is a dyon, whose electric and magnetic charges are related to the mass and NUT charge in the gravity theory. Finally, we find hints that the classical double copy extends to curved background geometries.
13 pages, no figures. Minor edits to match journal version
References in corpus (16)
- New Relations for Gauge-Theory Amplitudes
- Minimal Basis for Gauge Theory Amplitudes
- Black holes and the double copy
- General Kerr-NUT-AdS Metrics in All Dimensions
- Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program
- Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
- Yang-Mills origin of gravitational symmetries
- Scattering amplitudes in N=2 Maxwell-Einstein and Yang-Mills/Einstein supergravity
- Scattering equations and BCJ relations for gauge and gravitational amplitudes with massive scalar particles
- Gauge and Gravity Amplitude Relations
- Scattering equations and virtuous kinematic numerators and dual-trace functions
- Color-Kinematics Duality and the Regge Limit of Inelastic Amplitudes
- Kerr-Schild Structure and Harmonic 2-forms on (A)dS-Kerr-NUT Metrics
- Two-loop five-point amplitudes of super Yang-Mills and supergravity in pure spinor superspace
- Color kinematic symmetric (BCJ) numerators in a light-like gauge
- Generalized Yang-Mills Theory and Gravity
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