Built on

Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon, and M. Zeng, Phys. Rev. Lett. 122
Original
1901
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K. Andrzejewski and S. Prencel, Phys. Rev. D 100
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1901
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1906
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Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon, and M. Zeng, JHEP 10
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1908
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H. Godazgar, M. Godazgar, and C. Pope, Phys. Lett. B 798
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Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson, and R. Roiban, (2019c), arXiv:1909.01358 [hep-th]
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1909
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1912
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W. Dietz and R. Rüdiger, Proc. Roy. Soc. Lond. A 375
1981
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Original
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Cited alongside, same era.

Then

Z. Bern, J. J. M. Carrasco, and H. Johansson, Phys. Rev. Lett. 105
Original
2010
Later among the works it cites.
M. Shibata and K. Taniguchi, Living Rev. Rel. 14
2011
Later among the works it cites.
C. D. White, (2020), arXiv:2012.02479 [hep-th]
Original
2012
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D. Neill and I. Z. Rothstein, Nucl. Phys. B 877
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Later among the works it cites.

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2020

The Weyl Double Copy for Gravitational Waves

Godazgar, Hadi, Godazgar, Mahdi, Monteiro, Ricardo et al.

Understand

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.
This relation defines a scalar that satisfies the wave equation on the background.
We show that for non-twisting radiative solutions, the Maxwell field and the scalar also satisfy the Maxwell equation and the wave equation on Minkowski spacetime.

Built on

Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon, and M. Zeng, Phys. Rev. Lett. 122
Original
1901
Earlier work this paper cites.
K. Andrzejewski and S. Prencel, Phys. Rev. D 100
Original
1901
Earlier work this paper cites.
S. Sabharwal and J. W. Dalhuisen, JHEP 07
Original
1904
Earlier work this paper cites.
N. Arkani-Hamed, Y.-t. Huang, and D. O’Connell, JHEP 01
Original
1906
Earlier work this paper cites.
Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon, and M. Zeng, JHEP 10
Original
1908
Earlier work this paper cites.
H. Godazgar, M. Godazgar, and C. Pope, Phys. Lett. B 798
Original
1908
Earlier work this paper cites.
Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson, and R. Roiban, (2019c), arXiv:1909.01358 [hep-th]
Original
1909
Earlier work this paper cites.
I. Bah, R. Dempsey, and P. Weck, JHEP 02
Original
1910
Earlier work this paper cites.
Y.-T. Huang, U. Kol, and D. O’Connell, Phys. Rev. D 102
Original
1911
Earlier work this paper cites.
R. Alawadhi, D. S. Berman, B. Spence, and D. Peinador Veiga, JHEP 03
Original
1911
Earlier work this paper cites.
K. Kim, K. Lee, R. Monteiro, I. Nicholson, and D. Peinador Veiga, JHEP 02
Original
1912
Earlier work this paper cites.
A. Banerjee, E. Colgáin, J. Rosabal, and H. Yavartanoo, (2019), arXiv:1912.02597 [hep-th]
Original
1912
Earlier work this paper cites.
J. N. Goldberg and R. K. Sachs, Acta Phys. Pol. 22 (supplement)
1962
Earlier work this paper cites.
B. Carter, Phys. Rev. 174
1968
Earlier work this paper cites.
M. Walker and R. Penrose, Commun. Math. Phys. 18
1970
Earlier work this paper cites.
W. H. Press and K. S. Thorne, Annu. Rev. Astron. Astrophys. 10
1972
Earlier work this paper cites.
I. Hauser, Phys. Rev. Lett. 33
1974
Earlier work this paper cites.

Similar

W. Dietz and R. Rüdiger, Proc. Roy. Soc. Lond. A 375
1981
Cited alongside, same era.
R. Penrose and W. Rindler, Spinors and space-time. Vol. 1: Two-spinor Calculus and Relativistic Fields (Cambridge Univ. Press, 1984)
1984
Cited alongside, same era.
H. Kawai, D. Lewellen, and S. Tye, Nucl. Phys. B 269
1986
Cited alongside, same era.
J. Stewart, Advanced General Relativity , Cambridge Monographs on Mathematical Physics (CUP, 1991)
1991
Cited alongside, same era.
A. Buonanno and T. Damour, Phys. Rev. D 59
1999
Cited alongside, same era.
N. Bahjat-Abbas, R. Stark-Muchão, and C. D. White, JHEP 04
Original
2001
Cited alongside, same era.

Then

Z. Bern, J. J. M. Carrasco, and H. Johansson, Phys. Rev. Lett. 105
Original
2010
Later among the works it cites.
M. Shibata and K. Taniguchi, Living Rev. Rel. 14
2011
Later among the works it cites.
C. D. White, (2020), arXiv:2012.02479 [hep-th]
Original
2012
Later among the works it cites.
D. Neill and I. Z. Rothstein, Nucl. Phys. B 877
Original
2013
Later among the works it cites.
L. Blanchet, Living Rev. Rel. 17
Original
2014
Later among the works it cites.

Beyond the bibliography

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

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H. Stephani, D. Kramer, M. A. H. MacCallum, C. Hoenselaers, and E. Herlt, Exact solutions of Einstein’s field equations , Cambridge Monographs on Mathematical Physics (Cambridge Univ. Press, Cambridge, 2003)

2003

Cited alongside, same era.

A. Luna, S. Nagy, and C. White, (2020), arXiv:2004.11254 [hep-th]

Original

2004

Cited alongside, same era.

L. Alfonsi, C. D. White, and S. Wikeley, JHEP 07

Original

2004

Cited alongside, same era.

F. Pretorius, Phys. Rev. Lett. 95

2005