# Black holes and the double copy

@article{Monteiro2014BlackHA, title={Black holes and the double copy}, author={Ricardo Monteiro and Donal O’Connell and Chris D. White}, journal={Journal of High Energy Physics}, year={2014}, volume={2014}, pages={1-23} }

A bstractRecently, a perturbative duality between gauge and gravity theories (the double copy) has been discovered, that is believed to hold to all loop orders. In this paper, we examine the relationship between classical solutions of non-Abelian gauge theory and gravity. We propose a general class of gauge theory solutions that double copy to gravity, namely those involving stationary Kerr-Schild metrics. The Schwarzschild and Kerr black holes (plus their higher-dimensional equivalents) emerge…

## 215 Citations

The double copy: gravity from gluons

- Physics
- 2017

Abstract Three of the four fundamental forces in nature are described by so-called gauge theories, which include the effects of both relativity and quantum mechanics. Gravity, on the other hand, is…

The classical double copy in three spacetime dimensions

- PhysicsJournal of High Energy Physics
- 2019

Abstract
The double copy relates scattering amplitudes in gauge and gravity theories, and has also been extended to classical solutions. In this paper, we study solutions in three spacetime…

The self-dual classical double copy, and the Eguchi-Hanson instanton

- PhysicsJournal of High Energy Physics
- 2019

A bstractThe double copy is a map from non-abelian gauge theories to gravity, that has been demonstrated both for scattering amplitudes and exact classical solutions. In this study, we reconsider the…

Perturbative spacetimes from Yang-Mills theory

- Physics
- 2016

A bstractThe double copy relates scattering amplitudes in gauge and gravity theories. In this paper, we expand the scope of the double copy to construct spacetime metrics through a systematic…

Gravity as a double copy of gauge theory: from amplitudes to black holes

- Physics
- 2015

We discuss the relation between perturbative gauge theory and perturbative gravity, and look at how this relation extends to some exact classical solutions. First, we give an overview of the double…

Type D spacetimes and the Weyl double copy

- PhysicsClassical and Quantum Gravity
- 2019

We study the double-copy relation between classical solutions in gauge theory and gravity, focusing on four-dimensional vacuum metrics of algebraic type D, a class that includes several important…

Kerr-Schild double copy of the Coulomb solution in three dimensions

- PhysicsPhysical Review D
- 2021

While the Kerr-Schild double copy of the Coulomb solution in dimensions higher than three is the Schwarzschild black hole, it is known that it should be a non-vacuum solution in three dimensions. We…

The classical double copy in maximally symmetric spacetimes

- Mathematics
- 2017

A bstractThe classical double copy procedure relates classical asymptotically-flat gravitational field solutions to Yang-Mills and scalar field solutions living in Minkowski space. In this paper we…

The classical double copy of a point charge

- PhysicsJournal of High Energy Physics
- 2020

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…

## References

SHOWING 1-10 OF 79 REFERENCES

BCJ duality and the double copy in the soft limit

- Mathematics
- 2013

A bstractWe examine the structure of infrared singularities in QCD and quantum General Relativity, from the point of view of the recently conjectured double copy property which relates scattering…

Perturbative quantum gravity as a double copy of gauge theory.

- PhysicsPhysical review letters
- 2010

It is conjecture that this duality persists to all quantum loop orders and can thus be used to obtain multiloop gravity amplitudes easily from gauge-theory ones.

Color-kinematic duality for form factors

- Physics
- 2013

A bstractRecently a powerful duality between color and kinematics has been proposed for integrands of scattering amplitudes in quite general gauge theories. In this paper the duality proposal is…

Ambitwistor strings and the scattering equations

- Mathematics
- 2014

A bstractWe show that string theories admit chiral infinite tension analogues in which only the massless parts of the spectrum survive. Geometrically they describe holomorphic maps to spaces of…

Relationship between gravity and gauge scattering in the high energy limit

- Physics
- 2013

A bstractInvestigations of high-energy graviton-graviton and gluon-gluon scattering are performed in the leading eikonal approximation for the kinematic regime of large center of mass energy and low…

Pure gravities via color-kinematics duality for fundamental matter

- Physics
- 2014

A bstractWe give a prescription for the computation of loop-level scattering amplitudes in pure Einstein gravity, and four-dimensional pure supergravities, using the color-kinematics duality.…

Colour-Kinematics duality for one-loop rational amplitudes

- Mathematics
- 2013

A bstractColour-kinematics duality is the conjecture of a group theory-like structure for the kinematic dependence of scattering amplitudes in gauge theory and gravity. This structure has been…

Gravity as the Square of Gauge Theory

- Physics
- 2010

We explore consequences of the recently discovered duality between color and kinematics, which states that kinematic numerators in a diagrammatic expansion of gauge-theory amplitudes can be arranged…

Color-kinematics duality in multi-Regge kinematics and dimensional reduction

- Physics
- 2013

A bstractIn this note we study the applicability of the color-kinematics duality to the scattering of two distinguishable scalar matter particles with gluon emission in QCD, or graviton emission in…

Color-kinematics duality for pure Yang-Mills and gravity at one and two loops

- Physics
- 2015

We provide evidence in favor of the conjectured duality between color and kinematics for the case of nonsupersymmetric pure Yang-Mills amplitudes by constructing a form of the one-loop four-point…