Built on

N. Arkani-Hamed, Y. t. Huang and D. O’Connell, “Kerr Black Holes as Elementary Particles,” arXiv:1906.10100 [hep-th]
Original
1906
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, arXiv:1906.09260 [hep-th]
Original
1906
Earlier work this paper cites.
A. Guevara, A. Ochirov and J. Vines, Phys. Rev. D 100
Original
1906
Earlier work this paper cites.
U. Kol and M. Porrati, “Properties of Dual Supertranslation Charges in Asymptotically Flat Spacetimes,” Phys. Rev. D 100
Original
1907
Earlier work this paper cites.
Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson and R. Roiban, “The Duality Between Color and Kinematics and its Applications,” arXiv:1909.01358 [hep-th]
Original
1909
Earlier work this paper cites.
N. Moynihan, “Kerr-Newman from Minimal Coupling,” arXiv:1909.05217 [hep-th]
Original
1909
Earlier work this paper cites.
R. Alawadhi, D. S. Berman, B. Spence and D. Peinador Veiga, “S-duality and the Double Copy,” arXiv:1911.06797 [hep-th]
Original
1911
Earlier work this paper cites.
E. Newman and R. Penrose, “An Approach to Gravitational Radiation by a Method of Spin Coefficients,” J. Math. Phys. 3
1962
Earlier work this paper cites.
E. T. Newman and A. I. Janis, “Note on the Kerr Spinning Particle Metric,” J. Math. Phys. 6
1965
Earlier work this paper cites.
B. S. DeWitt, “Superconductors and Gravitational Drag,” Phys. Rev. Lett. 16
1966
Earlier work this paper cites.
E. T. Newman and R. Penrose, “New Conservation Laws for Zero Rest-Mass Fields in Asymptotically Flat Space-Time,” Proc. Roy. Soc. Lond. A 305
1968
Earlier work this paper cites.

Similar

C. J. Talbot, “Newman-Penrose Approach to Twisting Degenerate Metrics,” Commun. Math. Phys. 13
1969
Cited alongside, same era.
R. Debever, “On type D expanding solutions of Einstein-Maxwell equations”, a Bull. Soc. Math. Belg 23
1971
Cited alongside, same era.
J. F. Plebanski and M. Demianski, “Rotating, charged, and uniformly accelerating mass in general relativity,” Annals Phys. 98
1976
Cited alongside, same era.
U. Kol and M. Porrati, “Gravitational Wu-Yang Monopoles,” arXiv:2003.09054 [hep-th]
Original
2003
Cited alongside, same era.
A. J. Keane, “An extension of the Newman-Janis algorithm,” Class. Quant. Grav. 31
Original
2014
Cited alongside, same era.

Then

H. Erbin, “Janis-Newman Algorithm: Generating Rotating and Nut Charged Black Holes,” Universe 3
Original
2017
Later among the works it cites.
S. Caron-Huot and Z. Zahraee, “Integrability of Black Hole Orbits in Maximal Supergravity,” JHEP 1907
Original
2019
Closest in time.
H. Godazgar, M. Godazgar and C. N. Pope, “New Dual Gravitational Charges,” Phys. Rev. D 99
Original
2019
Closest in time.
H. Godazgar, M. Godazgar and C. N. Pope, “Tower of Subleading Dual Bms Charges,” JHEP 1903
Original
2019
Closest in time.
D. A. Kosower, B. Maybee and D. O’Connell, “Amplitudes, Observables, and Classical Scattering,” JHEP 1902
Original

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2019

The Double Copy of Electric-Magnetic Duality

Huang, Yu-tin, Kol, Uri, O'Connell, Donal

Understand

We argue that the complex transformation relating the Schwarzschild to the Taub-NUT metric, introduced by Talbot, is in fact an electric-magnetic duality transformation.

We show that at null infinity, the complex transformation is equivalent to a complexified BMS supertranslation, which rotates the supertranslation and the dual (magnetic) supertranslation charges.
This can also be seen from the cubic coupling between the classical source and its background, which for Taub-NUT is given by a complex phase rotation acting on gravitational minimal couplings.
The same phase rotation generates dyons from electrons at the level of minimally coupled amplitudes, manifesting the double copy relation between the two solutions.

Built on

N. Arkani-Hamed, Y. t. Huang and D. O’Connell, “Kerr Black Holes as Elementary Particles,” arXiv:1906.10100 [hep-th]
Original
1906
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, arXiv:1906.09260 [hep-th]
Original
1906
Earlier work this paper cites.
A. Guevara, A. Ochirov and J. Vines, Phys. Rev. D 100
Original
1906
Earlier work this paper cites.
U. Kol and M. Porrati, “Properties of Dual Supertranslation Charges in Asymptotically Flat Spacetimes,” Phys. Rev. D 100
Original
1907
Earlier work this paper cites.
Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson and R. Roiban, “The Duality Between Color and Kinematics and its Applications,” arXiv:1909.01358 [hep-th]
Original
1909
Earlier work this paper cites.
N. Moynihan, “Kerr-Newman from Minimal Coupling,” arXiv:1909.05217 [hep-th]
Original
1909
Earlier work this paper cites.
R. Alawadhi, D. S. Berman, B. Spence and D. Peinador Veiga, “S-duality and the Double Copy,” arXiv:1911.06797 [hep-th]
Original
1911
Earlier work this paper cites.
E. Newman and R. Penrose, “An Approach to Gravitational Radiation by a Method of Spin Coefficients,” J. Math. Phys. 3
1962
Earlier work this paper cites.
E. T. Newman and A. I. Janis, “Note on the Kerr Spinning Particle Metric,” J. Math. Phys. 6
1965
Earlier work this paper cites.
B. S. DeWitt, “Superconductors and Gravitational Drag,” Phys. Rev. Lett. 16
1966
Earlier work this paper cites.
E. T. Newman and R. Penrose, “New Conservation Laws for Zero Rest-Mass Fields in Asymptotically Flat Space-Time,” Proc. Roy. Soc. Lond. A 305
1968
Earlier work this paper cites.

Similar

C. J. Talbot, “Newman-Penrose Approach to Twisting Degenerate Metrics,” Commun. Math. Phys. 13
1969
Cited alongside, same era.
R. Debever, “On type D expanding solutions of Einstein-Maxwell equations”, a Bull. Soc. Math. Belg 23
1971
Cited alongside, same era.
J. F. Plebanski and M. Demianski, “Rotating, charged, and uniformly accelerating mass in general relativity,” Annals Phys. 98
1976
Cited alongside, same era.
U. Kol and M. Porrati, “Gravitational Wu-Yang Monopoles,” arXiv:2003.09054 [hep-th]
Original
2003
Cited alongside, same era.
A. J. Keane, “An extension of the Newman-Janis algorithm,” Class. Quant. Grav. 31
Original
2014
Cited alongside, same era.