Built on

K. Andrzejewski and S. Prencel, From polarized gravitational waves to analytically solvable electromagnetic beams , Phys. Rev. D100
Original
1901
Earlier work this paper cites.
Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon and M. Zeng, Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order , Phys. Rev. Lett. 122
Original
1901
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, From Scattering Amplitudes to Classical Physics: Universality, Double Copy and Soft Theorems , 1903.12419
Original
1903
Earlier work this paper cites.
M. Carrillo Gonzalez, B. Melcher, K. Ratliff, S. Watson and C. D. White, The classical double copy in three spacetime dimensions , JHEP 07
Original
1904
Earlier work this paper cites.
W. Cho and K. Lee, Heterotic Kerr-Schild Double Field Theory and Classical Double Copy , JHEP 07
Original
1904
Earlier work this paper cites.
J. Plefka, C. Shi, J. Steinhoff and T. Wang, Breakdown of the classical double copy for the effective action of dilaton-gravity at NNLO , Phys. Rev. D100
Original
1906
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, Observables and amplitudes for spinning particles and black holes , 1906.09260
Original
1906
Earlier work this paper cites.
A. Guevara, A. Ochirov and J. Vines, Black-hole scattering with general spin directions from minimal-coupling amplitudes , Phys. Rev. D100
Original
1906
Earlier work this paper cites.
N. Arkani-Hamed, Y.-t. Huang and D. O’Connell, Kerr Black Holes as Elementary Particles , 1906.10100
Original
1906
Earlier work this paper cites.
H. Johansson and A. Ochirov, Double copy for massive quantum particles with spin , JHEP 09
Original
1906
Earlier work this paper cites.
Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon and M. Zeng, Black Hole Binary Dynamics from the Double Copy and Effective Theory , JHEP 10
Original
1908
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, On the Double Copy for Spinning Matter , 1908.11349
Original
1908
Earlier work this paper cites.
H. Godazgar, M. Godazgar and C. N. Pope, Taub-NUT from the Dirac monopole , Phys. Lett. B798
Original
1908
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 , 1909.01358
Original
1909
Earlier work this paper cites.
N. Moynihan, Kerr-Newman from Minimal Coupling , 1909.05217
Original
1909
Earlier work this paper cites.
I. Bah, R. Dempsey and P. Weck, Kerr-Schild Double Copy and Complex Worldlines , 1910.04197
Original
1910
Earlier work this paper cites.
G. Kalin and R. A. Porto, From Boundary Data to Bound States , 1910.03008
Original
1910
Earlier work this paper cites.
R. Alawadhi, D. S. Berman, B. Spence and D. Peinador Veiga, S-duality and the Double Copy , 1911.06797
Original
1911
Earlier work this paper cites.
L. Borsten, I. Jubb, V. Makwana and S. Nagy, Gauge × \times Gauge on Spheres , 1911.12324
Original
1911
Earlier work this paper cites.
Y.-t. Huang, U. Kol and D. O’Connell, The Double Copy of Electric-Magnetic Duality , 1911.06318
Original
1911
Earlier work this paper cites.
J. Plefka, C. Shi and T. Wang, The Double Copy of Massive Scalar-QCD , 1911.06785
Original
1911
Earlier work this paper cites.
A. Banerjee, E. Colgáin, J. A. Rosabal and H. Yavartanoo, Ehlers as EM duality in the double copy , 1912.02597
Original
1912
Earlier work this paper cites.
W. D. Goldberger and J. Li, Strings, extended objects, and the classical double copy , 1912.01650
Original
1912
Earlier work this paper cites.
A. I. Janis, E. T. Newman and J. Winicour, Reality of the Schwarzschild Singularity , Phys. Rev. Lett. 20
1968
Earlier work this paper cites.
H. Kawai, D. C. Lewellen and S. H. H. Tye, A Relation Between Tree Amplitudes of Closed and Open Strings , Nucl. Phys. B269
1986
Earlier work this paper cites.

Similar

W. Siegel, Two vierbein formalism for string inspired axionic gravity , Phys. Rev. D47
1993
Cited alongside, same era.
W. Siegel, Superspace duality in low-energy superstrings , Phys. Rev. D48
1993
Cited alongside, same era.
C. P. Burgess, R. C. Myers and F. Quevedo, On spherically symmetric string solutions in four-dimensions , Nucl. Phys. B442
1995
Cited alongside, same era.
Z. Bern, J. J. M. Carrasco and H. Johansson, New Relations for Gauge-Theory Amplitudes , Phys. Rev. D78
Original
2008
Cited alongside, same era.
C. Hull and B. Zwiebach, Double Field Theory , JHEP 09
Original
2009
Cited alongside, same era.

Then

C. D. White, Exact solutions for the biadjoint scalar field , Phys. Lett. B763
Original
2016
Later among the works it cites.
G. L. Cardoso, S. Nagy and S. Nampuri, A double copy for 𝒩 = 2 \mathcal{N}=2 supergravity: a linearised tale told on-shell , JHEP 10
Original
2016
Later among the works it cites.
N. E. J. Bjerrum-Bohr, J. F. Donoghue, B. R. Holstein, L. Plante and P. Vanhove, Light-like Scattering in Quantum Gravity , JHEP 11
Original
2016
Later among the works it cites.
N. Bahjat-Abbas, A. Luna and C. D. White, The Kerr-Schild double copy in curved spacetime , JHEP 12
Original
2017
Later among the works it cites.
P.-J. De Smet and C. D. White, Extended solutions for the biadjoint scalar field , Phys. Lett. B775

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2019

The Classical Double Copy of a Point Charge

Kim, Kwangeon, Lee, Kanghoon, Monteiro, Ricardo et al.

Understand

The classical double copy relates solutions to the equations of motion in gauge theory and in gravity.

In this paper, we present two double-copy formalisms for relating the Coulomb solution in gauge theory to the two-parameter Janis-Newman-Winicour solution in gravity.
The latter is a static, spherically symmetric, asymptotically flat solution that generically includes a dilaton field, but also admits the Schwarzschild solution as a special case.
We first present the classical double copy as a perturbative construction, similar to its formulation for scattering amplitudes, and then present it as an exact map, with a novel generalisation of the Kerr-Schild double copy motivated by double field theory.

Built on

K. Andrzejewski and S. Prencel, From polarized gravitational waves to analytically solvable electromagnetic beams , Phys. Rev. D100
Original
1901
Earlier work this paper cites.
Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon and M. Zeng, Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order , Phys. Rev. Lett. 122
Original
1901
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, From Scattering Amplitudes to Classical Physics: Universality, Double Copy and Soft Theorems , 1903.12419
Original
1903
Earlier work this paper cites.
M. Carrillo Gonzalez, B. Melcher, K. Ratliff, S. Watson and C. D. White, The classical double copy in three spacetime dimensions , JHEP 07
Original
1904
Earlier work this paper cites.
W. Cho and K. Lee, Heterotic Kerr-Schild Double Field Theory and Classical Double Copy , JHEP 07
Original
1904
Earlier work this paper cites.
J. Plefka, C. Shi, J. Steinhoff and T. Wang, Breakdown of the classical double copy for the effective action of dilaton-gravity at NNLO , Phys. Rev. D100
Original
1906
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, Observables and amplitudes for spinning particles and black holes , 1906.09260
Original
1906
Earlier work this paper cites.
A. Guevara, A. Ochirov and J. Vines, Black-hole scattering with general spin directions from minimal-coupling amplitudes , Phys. Rev. D100
Original
1906
Earlier work this paper cites.
N. Arkani-Hamed, Y.-t. Huang and D. O’Connell, Kerr Black Holes as Elementary Particles , 1906.10100
Original
1906
Earlier work this paper cites.
H. Johansson and A. Ochirov, Double copy for massive quantum particles with spin , JHEP 09
Original
1906
Earlier work this paper cites.
Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon and M. Zeng, Black Hole Binary Dynamics from the Double Copy and Effective Theory , JHEP 10
Original
1908
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, On the Double Copy for Spinning Matter , 1908.11349
Original
1908
Earlier work this paper cites.
H. Godazgar, M. Godazgar and C. N. Pope, Taub-NUT from the Dirac monopole , Phys. Lett. B798
Original
1908
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 , 1909.01358
Original
1909
Earlier work this paper cites.
N. Moynihan, Kerr-Newman from Minimal Coupling , 1909.05217
Original
1909
Earlier work this paper cites.
I. Bah, R. Dempsey and P. Weck, Kerr-Schild Double Copy and Complex Worldlines , 1910.04197
Original
1910
Earlier work this paper cites.
G. Kalin and R. A. Porto, From Boundary Data to Bound States , 1910.03008
Original
1910
Earlier work this paper cites.
R. Alawadhi, D. S. Berman, B. Spence and D. Peinador Veiga, S-duality and the Double Copy , 1911.06797
Original
1911
Earlier work this paper cites.
L. Borsten, I. Jubb, V. Makwana and S. Nagy, Gauge × \times Gauge on Spheres , 1911.12324
Original
1911
Earlier work this paper cites.
Y.-t. Huang, U. Kol and D. O’Connell, The Double Copy of Electric-Magnetic Duality , 1911.06318
Original
1911
Earlier work this paper cites.
J. Plefka, C. Shi and T. Wang, The Double Copy of Massive Scalar-QCD , 1911.06785
Original
1911
Earlier work this paper cites.
A. Banerjee, E. Colgáin, J. A. Rosabal and H. Yavartanoo, Ehlers as EM duality in the double copy , 1912.02597
Original
1912
Earlier work this paper cites.
W. D. Goldberger and J. Li, Strings, extended objects, and the classical double copy , 1912.01650
Original
1912
Earlier work this paper cites.
A. I. Janis, E. T. Newman and J. Winicour, Reality of the Schwarzschild Singularity , Phys. Rev. Lett. 20
1968
Earlier work this paper cites.
H. Kawai, D. C. Lewellen and S. H. H. Tye, A Relation Between Tree Amplitudes of Closed and Open Strings , Nucl. Phys. B269
1986
Earlier work this paper cites.

Similar

W. Siegel, Two vierbein formalism for string inspired axionic gravity , Phys. Rev. D47
1993
Cited alongside, same era.
W. Siegel, Superspace duality in low-energy superstrings , Phys. Rev. D48
1993
Cited alongside, same era.
C. P. Burgess, R. C. Myers and F. Quevedo, On spherically symmetric string solutions in four-dimensions , Nucl. Phys. B442
1995
Cited alongside, same era.
Z. Bern, J. J. M. Carrasco and H. Johansson, New Relations for Gauge-Theory Amplitudes , Phys. Rev. D78
Original
2008
Cited alongside, same era.
C. Hull and B. Zwiebach, Double Field Theory , JHEP 09
Original
2009
Cited alongside, same era.