From Navier-Stokes to Maxwell via Einstein

Keeler, Cynthia; Manton, Tucker; Monga, Nikhil

doi:10.1007/jhep08(2020)147

Cited by 56 publications

(29 citation statements)

References 79 publications

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“…The idea of gravity as a double copy (DC) 1 has found applications in the study of numerous aspects of the gravitational theory, most notably scattering amplitudes, where much of the recent success has been driven by the identification of a duality between the color and kinematic factors, the so-called Bern-Carrasco-Johannson (BCJ) duality [4][5][6][7][8][9][10][11]. It has progressed to the study of solutions, both perturbative [12][13][14][15][16][17][18] and exact [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. Another important extension has been to find manifestations of it beyond gravity theory [36][37][38][39][40][41][42].…”

Section: Jhep03(2021)262 1 Introductionmentioning

confidence: 99%

A double copy for asymptotic symmetries in the self-dual sector

Campiglia

Nagy

2021

J. High Energ. Phys.

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We give a double copy construction for the symmetries of the self-dual sectors of Yang-Mills (YM) and gravity, in the light-cone formulation. We find an infinite set of double copy constructible symmetries. We focus on two families which correspond to the residual diffeomorphisms on the gravitational side. For the first one, we find novel non-perturbative double copy rules in the bulk. The second family has a more striking structure, as a non-perturbative gravitational symmetry is obtained from a perturbatively defined symmetry on the YM side.At null infinity, we find the YM origin of the subset of extended Bondi-Metzner-Sachs (BMS) symmetries that preserve the self-duality condition. In particular, holomorphic large gauge YM symmetries are double copied to holomorphic supertranslations. We also identify the single copy of superrotations with certain non-gauge YM transformations that to our knowledge have not been previously presented in the literature.

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Section: Jhep03(2021)262 1 Introductionmentioning

confidence: 99%

A double copy for asymptotic symmetries in the self-dual sector

Campiglia

Nagy

2021

J. High Energ. Phys.

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“…What lies behind these relations is the existence of the well-known hidden symmetry for type D vacuum solutions as expressed by the existence of a Killing 2-spinor [28,32]. See [33][34][35][36][37][38][39][40][41][42][43][44][45][46] for related works.…”

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confidence: 99%

The Weyl Double Copy for Gravitational Waves

Godazgar,

Monteiro

et al. 2020

Preprint

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We establish the status of the Weyl double copy relation for radiative solutions of the vacuum Einstein equations. We show that all type N vacuum solutions, which describe the radiation region of isolated gravitational systems with appropriate fall-off for the matter fields, admit a degenerate Maxwell field that squares to give the Weyl tensor. The converse statement also holds, i.e. if there exists a degenerate Maxwell field on a curved background, then the background is type N. This relation defines a scalar that satisfies the wave equation on the background. We show that for nontwisting radiative solutions, the Maxwell field and the scalar also satisfy the Maxwell equation and the wave equation on Minkowski spacetime. Hence, non-twisting solutions have a straightforward double copy interpretation.

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“…A topological connection would have important implications for a wide range of systems, ranging from the manifestation of the d'Alambert paradox in inviscid flows around spheres moving in superfluids (e.g. Rica 2001;Keeling & Berloff 2009) to the use of multi-dimensional potential flows as field duals of N-dimensional spacetimes (Keeler, Manton & Monga 2020).…”

Section: Example: An Approximately Universal Flow In Front Of Spheroidsmentioning

confidence: 99%

Compressible potential flows around round bodies: Janzen–Rayleigh expansion inferences

Wallerstein

Keshet

2021

J. Fluid Mech.

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The subsonic, compressible, potential flow around a hypersphere can be derived using the Janzen–Rayleigh expansion (JRE) of the flow potential in even powers of the incident Mach number ${\mathcal {M}}_\infty$ . JREs were carried out with terms polynomial in the inverse radius $r^{-1}$ to high orders in two dimensions, but were limited to order ${\mathcal {M}}_\infty ^{4}$ in three dimensions. We derive general JRE formulae for arbitrary order, adiabatic index and dimension. We find that powers of $\ln (r)$ can creep into the expansion, and are essential in the three-dimensional (3-D) sphere beyond order ${\mathcal {M}}_\infty ^{4}$ . Such terms are apparently absent in the 2-D disk, as we verify up to order ${\mathcal {M}}_\infty ^{100}$ , although they do appear in other dimensions (e.g. at order ${\mathcal {M}}_\infty ^{2}$ in four dimensions). An exploration of various 2-D and 3-D bodies suggests a topological connection, with logarithmic terms emerging when the flow is simply connected. Our results have additional physical implications. They are used to improve the hodograph-based approximation for the flow in front of a sphere. The symmetry-axis velocity profiles of axisymmetric flows around different prolate spheroids are approximately related to each other by a simple, Mach-independent scaling.

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From Navier-Stokes to Maxwell via Einstein

Cited by 56 publications

References 79 publications

A double copy for asymptotic symmetries in the self-dual sector

A double copy for asymptotic symmetries in the self-dual sector

The Weyl Double Copy for Gravitational Waves

Compressible potential flows around round bodies: Janzen–Rayleigh expansion inferences

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