Static spherically symmetric Kerr-Schild metrics and implications for the classical double copy

Ridgway, Alexander K.; Wise, Mark B.

doi:10.1103/physrevd.94.044023

Cited by 106 publications

(117 citation statements)

References 13 publications

Supporting

Mentioning

110

Contrasting

Order By: Relevance

“…(78) instead indicate that, because of scalar charge, the double copy of the Coulomb field is neither a vacuum spacetime nor is it equivalent to Kerr-Schild by coordinate transformations. To see this latter assertion, note that the general d-dimensional spherically symmetric Kerr-Schild metric, [11] in Schwarzschild form…”

Section: Color-kinematics Correspondencementioning

confidence: 99%

Radiation and the classical double copy for color charges

2017

Self Cite

View full text Add to dashboard Cite

We construct perturbative classical solutions of the Yang-Mills equations coupled to dynamical point particles carrying color charge. By applying a set of color to kinematics replacement rules first introduced by Bern, Carrasco and Johansson (BCJ), these are shown to generate solutions of d-dimensional dilaton gravity, which we also explicitly construct. Agreement between the gravity result and the gauge theory double copy implies a correspondence between non-Abelian particles and gravitating sources with dilaton charge. When the color sources are highly relativistic, dilaton exchange decouples, and the solutions we obtain match those of pure gravity. We comment on possible implications of our findings to the calculation of gravitational waveforms in astrophysical black hole collisions, directly from computationally simpler gluon radiation in Yang-Mills theory.

show abstract

Section: Color-kinematics Correspondencementioning

confidence: 99%

Radiation and the classical double copy for color charges

2017

Self Cite

View full text Add to dashboard Cite

show abstract

“…This was first raised in [6] which proposed a double copy mapping between nonperturbative classical solutions in pure Yang-Mills theory and Einstein gravity. See [7,8] for related work. In [9], it was found that there is a double copy of perturbative classical radiating solutions in any spacetime dimension d. On the Yang-Mills side, the setup of [9] consists of a set of radiating color charges, interacting self-consistently by gluon exchange.…”

Section: Introductionmentioning

confidence: 99%

Classical gluon and graviton radiation from the bi-adjoint scalar double copy

2017

View full text Add to dashboard Cite

We find double copy relations between classical radiating solutions in Yang-Mills theory coupled to dynamical color charges and their counterparts in a cubic bi-adjoint scalar field theory which interacts linearly with particles carrying bi-adjoint charge. The particular color-to-kinematics replacements we employ are motivated by the BCJ double copy correspondence for on-shell amplitudes in gauge and gravity theories. They are identical to those recently used to establish relations between classical radiating solutions in gauge theory and in dilaton gravity. Our explicit bi-adjoint solutions are constructed to second order in a perturbative expansion, and map under the double copy onto gauge theory solutions which involve at most cubic gluon self-interactions. If the correspondence is found to persist to higher orders in perturbation theory, our results suggest the possibility of calculating gravitational radiation from colliding compact objects, directly from a scalar field with vastly simpler (purely cubic) Feynman vertices.

show abstract

“…[8][9][10] within the context of classical Kerr-Schild solutions to the Einstein equations, and further developed in Refs. [11]. More recently, Ref.…”

Section: Introductionmentioning

confidence: 99%

Spinning particles, axion radiation, and the classical double copy

Goldberger¹,

Li²,

Prabhu³

2018

Phys. Rev. D

136

120

View full text Add to dashboard Cite

We extend the perturbative double copy between radiating classical sources in gauge theory and gravity to the case of spinning particles. We construct, to linear order in spins, perturbative radiating solutions to the classical Yang-Mills equations sourced by a set of interacting color charges with chromomagnetic dipole spin couplings. Using a color-to-kinematics replacement rule proposed earlier by one of the authors, these solutions map onto radiation in a theory of interacting particles coupled to massless fields that include the graviton, a scalar (dilaton) ϕ and the Kalb-Ramond axion field B μν . Consistency of the double copy imposes constraints on the parameters of the theory on both the gauge and gravity sides of the correspondence. In particular, the color charges carry a chromomagnetic interaction which, in d ¼ 4, corresponds to a gyromagnetic ratio equal to Dirac's value g ¼ 2. The color-to-kinematics map implies that on the gravity side, the bulk theory of the fields ðϕ; g μν ; B μν Þ has interactions which match those of d-dimensional "string gravity," as is the case both in the BCJ double copy of pure gauge theory scattering amplitudes and the KLT relations between the tree-level S-matrix elements of open and closed string theory.

show abstract

Static spherically symmetric Kerr-Schild metrics and implications for the classical double copy

Cited by 106 publications

References 13 publications

Radiation and the classical double copy for color charges

Radiation and the classical double copy for color charges

Classical gluon and graviton radiation from the bi-adjoint scalar double copy

Spinning particles, axion radiation, and the classical double copy

Contact Info

Product

Resources

About