Single copy of the Ricci flow

Alawadhi, Rashid

doi:10.48550/arxiv.2202.09874

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Jhep04(2023)0051

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2023

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“…We additionally hope our work may provide a framework to further study gravitational transformations and dualities in the double copy [54,[68][69][70][71][72], since it includes the full class of Kerr-NUT-(A)dS spacetimes. Similarly, perhaps the principal tensor can be studied in the single-copy picture, just as NUT charges, geodesics, and Ricci flow have been [28,30,73,74]. Finally, for, the Kerr-NUT solutions in our family, we would be interested to see if the Weyl double copy in general dimensions can be understood asymptotically, as at null infinity in four dimensions [67,[75][76][77][78][79].…”

Section: Jhep04(2023)005mentioning

confidence: 99%

Aligned fields double copy to Kerr-NUT-(A)dS

Chawla

Keeler

2023

J. High Energ. Phys.

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We find Abelian gauge fields that double copy to a large class of black hole spacetimes with spherical horizon topology known as the Kerr-NUT-(A)dS family. Using a multi-Kerr-Schild prescription, we extend the previously-known double copy structure for arbitrarily rotating general dimension black holes, to include NUT charges and an arbitrary cosmological constant. In all cases, these single copy gauge fields are ‘aligned fields’, because their nonzero components align with the principal tensor which generates the Killing structure of the spacetime. In five dimensions, we additionally derive the same single-copy field strengths via the Weyl double copy procedure.

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