Abstract
The classical double copy relates solutions to the equations of motion in gauge theory and in gravity. In this paper, we present two double-copy formalisms for relating the Coulomb solution in gauge theory to the two-parameter Janis-Newman-Winicour solution in gravity. The latter is a static, spherically symmetric, asymptotically fiat solution that generically includes a dilaton field, but also admits the Schwarzschild solution as a special case. We first present the classical double copy as a perturbative construction, similar to its formulation for scattering amplitudes, and then present it as an exact map, with a novel generalisation of the Kerr-Schild double copy motivated by double field theory. The latter formalism exhibits the relation between the Kerr-Schild classical double copy and the string theory origin of the double copy for scattering amplitudes.
Highlights
Considerations, we see that the double copy of gauge theory will generically involve these additional fields, not just the graviton
We first present the classical double copy as a perturbative construction, similar to its formulation for scattering amplitudes, and present it as an exact map, with a novel generalisation of the Kerr-Schild double copy motivated by double field theory
The metric exhibits in Kerr-Schild coordinates the property that it is both linearised and exact. This property was instrumental in interpreting the exact solution as the double copy of a point charge in [5], and this conclusion extends to many other cases, including the Kerr and Taub-NUT metrics — it extends to all vacuum type D spacetimes [15]
Summary
In the first part of this section, we present an overview of the double-copy construction, leaving greater detail for later sections. In the second part of this section, we review the JNW spacetime, whose double-copy relation to a point charge is the focus of our paper
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have