Black holes and the double copy

By R. Monteiro, D. O’Connell, Chris D. White. 2014

381 citations recorded by the source corpus.

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 as special cases. We also discuss plane wave solutions. Furthermore, a recently examined double copy between the self-dual sectors of Yang-Mills theory and gravity can be reinterpreted using a momentum-space generalisation of the Kerr-Schild framework.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/3222cb0dc8dd1da12ef6e373903cefafec97a56d

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Citations in the corpus

The Kerr-Schild double copy in curved spacetime (2017, background): “mber of recent studies have therefore looked at whether or not other quantities can be matched up and, if so, whether the relevant relationship is related to the double copy for amplitudes. Reference [68] considered a family of exact classical solutions in gravity, stationary Kerr-Schild metrics, an”
Double copy for massive quantum particles with spin (2019, background): “uding the Schwarzschild and Kerr black holes | may be expressed in terms of solutions in the underlying gauge theory [41{49]. Such a classical double copy, introduced by Monteiro, O’Connell and White [41], relies on the metric parametrizations in which Einstein’s equations eectively linearize. For g”
The classical double copy for Taub–NUT spacetime (2015, methodology): “[57], given that it constitutes a time-independent single Kerr-Schild solution.”
TASI Lectures on Scattering Amplitudes (2017, background): “articular, an apparent vestige of the duality has been discovered in classical solutions in gauge theory and gravity. In its simplest incarnation, “black hole = charge2” 6 Color-Kinematics Duality 46 [114, 115, 116, 117], the Schwarzschild solution of general relativity is shown to be dual to the Co”
The Effective Field Theorist's Approach to Gravitational Dynamics (2016, positive): “sion, however, it surpasses the need of complicated n-graviton vertices. More recently an intriguing duality has been discovered between Yang-Mills and gravity [276{278,282]. This duality was used in [403,404] to relate stationary and maximally symmetric spacetimes, to solutions in a non-abelian gau”
Ultraviolet properties of N=8 supergravity at five loops (2018, background): “Apart from offering a simple means for obtaining loop-level scattering amplitudes in a multitude of (super)gravity theories, the double-copy construction has also been applied to the construction of black-hole and other classical solutions [52] including those potentially relevant to gravitational-w”
Perturbative spacetimes from Yang-Mills theory (2016, methodology): “e rst subleading order in perturbation theory. We took a stationary point charge as our source, nding that one can construct either the Schwarzschild metric (as in the Kerr-Schild double copy of ref. [54]), or the JNW solution [78] for a black hole with non-zero scalar eld ˚. Which solution one obta”
The double copy: Bremsstrahlung and accelerating black holes (2016, methodology): “Indeed, the authors of [55] showed that any stationary Kerr-Schild solution has a well-defined single copy that satisfies the Yang-Mills equations, which also take the linearised form.”
Type D spacetimes and the Weyl double copy (2018, positive): “le copy. The double-copy interpretation is supported by the analogy with the double copy for scattering amplitudes and by the perturbative construction of the double copy for classical solutions; see [48] and [69] for discussions. Notice that we didn’t discuss how the spatial components of the Einst”