The classical double copy for Taub–NUT spacetime

Luna, Andrés; Monteiro, Ricardo; O’Connell, Donal; White, Chris D.

doi:10.1016/j.physletb.2015.09.021

Cited by 252 publications

(361 citation statements)

References 66 publications

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“…Most sensible matter distributions are expected to satisfy these conditions. It is possible, however, that there are other coordinate systems that display double copy behavior and map E&M solutions to GR ones that satisfy the energy conditions [14].…”

Section: Discussionmentioning

confidence: 99%

“…To see this, we go to the small r limit and expand ρ K ðrÞ as If ρ K ðrÞ is to be positive at all and satisfy the weak energy condition, then it must start off negative and flip sign as r increases. There are some ρ K ðrÞ that satisfy the null energy condition (5.19) and are positive for all r. Note that the vacuum field double copy examples presented in [5,13] and [14] are exempt from this analysis.…”

Section: The Energy Conditionsmentioning

confidence: 99%

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

2016

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We discuss the physical interpretation of stress-energy tensors that source static spherically symmetric Kerr-Schild metrics. We find that the sources of such metrics with no curvature singularities or horizons do not simultaneously satisfy the weak and strong energy conditions. Sensible stress-energy tensors usually satisfy both of them. Under most circumstances, these sources are not perfect fluids and contain shear stresses. We show that for these systems the classical double copy associates the electric charge density to the Komar energy density. In addition, we demonstrate that the stress-energy tensors are determined by the electric charge density and their conservation equations.

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Section: Discussionmentioning

confidence: 99%

Section: The Energy Conditionsmentioning

confidence: 99%

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

2016

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“…An extension of the perturbative relations between gauge theory and gravity to classical solutions was initiated in refs. [50,51]; see also ref. [52].…”

Section: Bcj Duality and Double Copymentioning

confidence: 94%

String-inspired BCJ numerators for one-loop MHV amplitudes

Monteiro

Schlotterer

2016

J. High Energ. Phys.

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101

104

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We find simple expressions for the kinematic numerators of one-loop MHV amplitudes in maximally supersymmetric Yang-Mills theory and supergravity, at any multiplicity. The gauge-theory numerators satisfy the Bern-Carrasco-Johansson (BCJ) duality between color and kinematics, so that the gravity numerators are simply the square of the gauge-theory ones. The duality holds because the numerators can be written in terms of structure constants of a kinematic algebra, which is familiar from the BCJ organization of self-dual gauge theory and gravity. The close connection that we find between one-loop amplitudes in the self-dual case and in the maximally supersymmetric case is reminiscent of the dimension-shifting formula. The starting point for arriving at our expressions is the dimensional reduction of ten-dimensional amplitudes obtained in the field-theory limit of open superstrings.

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“…refs. [20][21][22][23][24] for explicit solution relationships, and refs. [25][26][27][28][29][30] for considerations of classical symmetries and duality-groups, as well as references therein.…”

Section: Double-copy Constructionmentioning

confidence: 99%

Abelian Z-theory: NLSM amplitudes and α ′ -corrections from the open string

Carrasco

Mafra

Schlotterer

2017

J. High Energ. Phys.

144

232

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In this paper we derive the tree-level S-matrix of the effective theory of Goldstone bosons known as the non-linear sigma model (NLSM) from string theory. This novel connection relies on a recent realization of tree-level open-superstring S-matrix predictions as a double copy of super-Yang-Mills theory with Z-theory -the collection of putative scalar effective field theories encoding all the α ′ -expansion of the open superstring. Here we identify the color-ordered amplitudes of the NLSM as the low-energy limit of abelian Z-theory. This realization also provides natural higher-derivative corrections to the NLSM amplitudes arising from higher powers of α ′ in the abelian Z-theory amplitudes, and through double copy also to Born-Infeld and Volkov-Akulov theories. The amplitude relations due to Kleiss-Kuijf as well as Bern, Johansson and one of the current authors obeyed by Z-theory amplitudes thereby apply to all α ′ -corrections of the NLSM. As such we naturally obtain a cubic-graph parameterization for the abelian Z-theory predictions whose kinematic numerators obey the duality between color and kinematics to all orders in α ′ .

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The classical double copy for Taub–NUT spacetime

Cited by 252 publications

References 66 publications

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

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

String-inspired BCJ numerators for one-loop MHV amplitudes

Abelian Z-theory: NLSM amplitudes and α ′ -corrections from the open string

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