The classical double copy in maximally symmetric spacetimes

González, Mariana Carrillo; Penco, Riccardo; Trodden, Mark

doi:10.1007/jhep04(2018)028

Title: The classical double copy in maximally symmetric spacetimes

Journal Article · Fri Apr 06 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep04(2018)028· OSTI ID:1498538

González, Mariana Carrillo ^[1]; Penco, Riccardo ^[1]; Trodden, Mark ^[1]

Univ. of Pennsylvania, Philadelphia, PA (United States)

The classical double copy procedure relates classical asymptotically-flat gravitational field solutions to Yang-Mills and scalar field solutions living in Minkowski space. With this being said, we extend this correspondence to maximally symmetric curved spacetimes in this paper. We consider asymptotically (A)dS spacetimes in Kerr-Schild form and construct the corresponding single and zeroth copies. In order to clarify the interpretation of these copies, we study several examples including (A)dS-Schwarzschild, (A)dS-Kerr, black strings, black branes, and waves, paying particular attention to the source terms. We find that the single and zeroth copies of stationary solutions satisfy different equations than those of wave solutions. We also consider how to obtain Einstein-Maxwell solutions using this procedure. Finally, we derive the classical single and zeroth copy of the BTZ black hole.

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Research Organization:: Univ. of Pennsylvania, Philadelphia (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0013528

OSTI ID:: 1498538

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 4; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 88 works

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References (57)

Black hole in three-dimensional spacetime Bañados, Máximo; Teitelboim, Claudio; Zanelli, Jorge Physical Review Letters, Vol. 69, Issue 13 https://doi.org/10.1103/PhysRevLett.69.1849	journal	September 1992
Shock-wave geometry with nonvanishing cosmological constant Hotta, M.; Tanaka, M. Classical and Quantum Gravity, Vol. 10, Issue 2 https://doi.org/10.1088/0264-9381/10/2/012	journal	February 1993
Classical space–times from the S-matrix Neill, Duff; Rothstein, Ira Z. Nuclear Physics B, Vol. 877, Issue 2 https://doi.org/10.1016/j.nuclphysb.2013.09.007	journal	December 2013
The double copy: Bremsstrahlung and accelerating black holes Luna, Andrés; Monteiro, Ricardo; Nicholson, Isobel Journal of High Energy Physics, Vol. 2016, Issue 6 https://doi.org/10.1007/JHEP06(2016)023	journal	June 2016
New color decompositions for gauge amplitudes at tree and loop level Del Duca, Vittorio; Dixon, Lance; Maltoni, Fabio Nuclear Physics B, Vol. 571, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00809-3	journal	April 2000
The classical double copy for Taub–NUT spacetime Luna, Andrés; Monteiro, Ricardo; O'Connell, Donal Physics Letters B, Vol. 750 https://doi.org/10.1016/j.physletb.2015.09.021	journal	November 2015
Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy Chiodaroli, Marco; Günaydin, Murat; Johansson, Henrik Journal of High Energy Physics, Vol. 2017, Issue 7 https://doi.org/10.1007/JHEP07(2017)002	journal	July 2017
One-loop four-point amplitudes in pure and matter-coupled $ \mathcal{N}\leq 4 $ supergravity Carrasco, John Joseph M.; Chiodaroli, Marco; Günaydin, Murat Journal of High Energy Physics, Vol. 2013, Issue 3 https://doi.org/10.1007/JHEP03(2013)056	journal	March 2013
Explicit BCJ numerators from pure spinors Mafra, Carlos R.; Schlotterer, Oliver; Stieberger, Stephan Journal of High Energy Physics, Vol. 2011, Issue 7 https://doi.org/10.1007/JHEP07(2011)092	journal	July 2011
Generalized Kundt waves and their physical interpretation Griffiths, J. B.; Docherty, P.; Podolský, J. Classical and Quantum Gravity, Vol. 21, Issue 1 https://doi.org/10.1088/0264-9381/21/1/014	journal	November 2003
Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM Cachazo, Freddy; He, Song; Yuan, Ellis Ye Journal of High Energy Physics, Vol. 2015, Issue 7 https://doi.org/10.1007/JHEP07(2015)149	journal	July 2015
Multi-centered N = 2 $$ \mathcal{N}=2 $$ BPS black holes: a double copy description Cardoso, G. L.; Nagy, S.; Nampuri, S. Journal of High Energy Physics, Vol. 2017, Issue 4 https://doi.org/10.1007/JHEP04(2017)037	journal	April 2017
Two-loop four-gluon amplitudes in N = 4 super-Yang-Mills Bern, Z.; Rozowsky, J. S.; Yan, B. Physics Letters B, Vol. 401, Issue 3-4 https://doi.org/10.1016/S0370-2693(97)00413-9	journal	May 1997
General Nonextremal Rotating Black Holes in Minimal Five-Dimensional Gauged Supergravity Chong, Z. -W.; Cvetič, M.; Lü, H. Physical Review Letters, Vol. 95, Issue 16 https://doi.org/10.1103/PhysRevLett.95.161301	journal	October 2005
New relations for Einstein–Yang–Mills amplitudes Stieberger, Stephan; Taylor, Tomasz R. Nuclear Physics B, Vol. 913 https://doi.org/10.1016/j.nuclphysb.2016.09.014	journal	December 2016
Monodromy and Jacobi-like relations for color-ordered amplitudes Bjerrum-Bohr, N. E. J.; Damgaard, Poul H.; Søndergaard, Thomas Journal of High Energy Physics, Vol. 2010, Issue 6 https://doi.org/10.1007/JHEP06(2010)003	journal	June 2010
Gravity as the square of Yang–Mills? Borsten, L.; Duff, M. J. Physica Scripta, Vol. 90, Issue 10 https://doi.org/10.1088/0031-8949/90/10/108012	journal	September 2015
On-shell techniques and universal results in quantum gravity Bjerrum-Bohr, N. E. J.; Donoghue, John F.; Vanhove, Pierre Journal of High Energy Physics, Vol. 2014, Issue 2 https://doi.org/10.1007/JHEP02(2014)111	journal	February 2014
Unifying relations for scattering amplitudes Cheung, Clifford; Shen, Chia-Hsien; Wen, Congkao Journal of High Energy Physics, Vol. 2018, Issue 2 https://doi.org/10.1007/JHEP02(2018)095	journal	February 2018
Amplitude relations in non-linear sigma model Chen, Gang; Du, Yi-Jian Journal of High Energy Physics, Vol. 2014, Issue 1 https://doi.org/10.1007/JHEP01(2014)061	journal	January 2014
Perturbative Quantum Gravity as a Double Copy of Gauge Theory Bern, Zvi; Carrasco, John Joseph M.; Johansson, Henrik Physical Review Letters, Vol. 105, Issue 6 https://doi.org/10.1103/PhysRevLett.105.061602	journal	August 2010
Exact Solutions of Einstein's Field Equations Stephani, Hans; Kramer, Dietrich; MacCallum, Malcolm Cambridge University Press https://doi.org/10.1017/CBO9780511535185	book	January 2009
On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences Bern, Z.; Dixon, L.; Dunbar, D. C. Nuclear Physics B, Vol. 530, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00420-9	journal	October 1998
Perturbative spacetimes from Yang-Mills theory Luna, Andrés; Monteiro, Ricardo; Nicholson, Isobel Journal of High Energy Physics, Vol. 2017, Issue 4 https://doi.org/10.1007/JHEP04(2017)069	journal	April 2017
Generalised Kerr-Schild space-times Taub, A. H. Annals of Physics, Vol. 134, Issue 2 https://doi.org/10.1016/0003-4916(81)90213-X	journal	July 1981
Black string instabilities in anti-de Sitter space Gregory, Ruth Classical and Quantum Gravity, Vol. 17, Issue 18 https://doi.org/10.1088/0264-9381/17/18/103	journal	August 2000
Ultraviolet Properties of $N = 4$ Supergravity at Four Loops Bern, Zvi; Davies, Scott; Dennen, Tristan Physical Review Letters, Vol. 111, Issue 23 https://doi.org/10.1103/PhysRevLett.111.231302	journal	December 2013
Higher dimensional Kerr–Schild spacetimes Ortaggio, Marcello; Pravda, Vojtěch; Pravdová, Alena Classical and Quantum Gravity, Vol. 26, Issue 2 https://doi.org/10.1088/0264-9381/26/2/025008	journal	January 2009
Einstein-Yang-Mills from pure Yang-Mills amplitudes Nandan, Dhritiman; Plefka, Jan; Schlotterer, Oliver Journal of High Energy Physics, Vol. 2016, Issue 10 https://doi.org/10.1007/JHEP10(2016)070	journal	October 2016
Complete Construction of Magical, Symmetric, and Homogeneous $N = 2$ Supergravities as Double Copies of Gauge Theories Chiodaroli, M.; Günaydin, M.; Johansson, H. Physical Review Letters, Vol. 117, Issue 1 https://doi.org/10.1103/PhysRevLett.117.011603	journal	June 2016
Black holes and the double copy Monteiro, R.; O’Connell, D.; White, C. D. Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)056	journal	December 2014
Black holes, shock waves, and causality in the AdS/CFT correspondence Horowitz, Gary T.; Itzhaki, Nissan Journal of High Energy Physics, Vol. 1999, Issue 02 https://doi.org/10.1088/1126-6708/1999/02/010	journal	February 1999
Supersymmetric, cold and lukewarm black holes in cosmological Einstein-Maxwell theory Romans, L. J. Nuclear Physics B, Vol. 383, Issue 1-2 https://doi.org/10.1016/0550-3213(92)90684-4	journal	September 1992
Relationship between gravity and gauge scattering in the high energy limit Saotome, Ryo; Akhoury, Ratindranath Journal of High Energy Physics, Vol. 2013, Issue 1 https://doi.org/10.1007/JHEP01(2013)123	journal	January 2013
The Kerr-Schild double copy in curved spacetime Bahjat-Abbas, Nadia; Luna, Andrés; White, Chris D. Journal of High Energy Physics, Vol. 2017, Issue 12 https://doi.org/10.1007/JHEP12(2017)004	journal	December 2017
The general Kerr–de Sitter metrics in all dimensions Gibbons, G. W.; Lü, H.; Page, Don N. Journal of Geometry and Physics, Vol. 53, Issue 1 https://doi.org/10.1016/j.geomphys.2004.05.001	journal	January 2005
A relation between tree amplitudes of closed and open strings Kawai, H.; Lewellen, D. C.; Tye, S. -H. H. Nuclear Physics B, Vol. 269, Issue 1 https://doi.org/10.1016/0550-3213(86)90362-7	journal	May 1986
Symmetry for Flavor-Kinematics Duality from an Action Cheung, Clifford; Shen, Chia-Hsien Physical Review Letters, Vol. 118, Issue 12 https://doi.org/10.1103/PhysRevLett.118.121601	journal	March 2017
Disk scattering of open and closed strings (I) Stieberger, Stephan; Taylor, Tomasz R. Nuclear Physics B, Vol. 903 https://doi.org/10.1016/j.nuclphysb.2015.12.002	journal	February 2016
Gauge amplitude identities by on-shell recursion relation in S-matrix program Feng, Bo; Huang, Rijun; Jia, Yin Physics Letters B, Vol. 695, Issue 1-4 https://doi.org/10.1016/j.physletb.2010.11.011	journal	January 2011
More on cosmological gravitational waves and their memories Chu, Yi-Zen Classical and Quantum Gravity, Vol. 34, Issue 19 https://doi.org/10.1088/1361-6382/aa8392	journal	September 2017
Scattering on plane waves and the double copy Adamo, Tim; Casali, Eduardo; Mason, Lionel Classical and Quantum Gravity, Vol. 35, Issue 1 https://doi.org/10.1088/1361-6382/aa9961	journal	December 2017
Remarks on generalised Kerr-Schild metrics Mastronikola, K. E. Classical and Quantum Gravity, Vol. 4, Issue 5 https://doi.org/10.1088/0264-9381/4/5/005	journal	September 1987
One-loop n-point gauge theory amplitudes, unitarity and collinear limits Bern, Zvi; Dixon, Lance; Dunbar, David C. Nuclear Physics B, Vol. 425, Issue 1-2 https://doi.org/10.1016/0550-3213(94)90179-1	journal	August 1994
Kerr–Schild spacetimes with an (A)dS background Málek, Tomáš; Pravda, Vojtěch Classical and Quantum Gravity, Vol. 28, Issue 12 https://doi.org/10.1088/0264-9381/28/12/125011	journal	May 2011
Abelian Z-theory: NLSM amplitudes and α ′ -corrections from the open string Carrasco, John Joseph M.; Mafra, Carlos R.; Schlotterer, Oliver Journal of High Energy Physics, Vol. 2017, Issue 6 https://doi.org/10.1007/JHEP06(2017)093	journal	June 2017
Scattering amplitudes in N = 2 $$ \mathcal{N}=2 $$ Maxwell-Einstein and Yang-Mills/Einstein supergravity Chiodaroli, Marco; Günaydin, Murat; Johansson, Henrik Journal of High Energy Physics, Vol. 2015, Issue 1 https://doi.org/10.1007/JHEP01(2015)081	journal	January 2015
Integrand oxidation and one-loop colour-dual numerators in $ \mathcal{N}=4 $ gauge theory Bjerrum-Bohr, N. Emil J.; Dennen, Tristan; Monteiro, Ricardo Journal of High Energy Physics, Vol. 2013, Issue 7 https://doi.org/10.1007/JHEP07(2013)092	journal	July 2013
A generalized kerr-schild metric Vaidya, P. C.; Bhatt, P. V. Pramana, Vol. 3, Issue 1 https://doi.org/10.1007/BF02847266	journal	July 1974
BCJ duality and the double copy in the soft limit Oxburgh, S.; White, C. D. Journal of High Energy Physics, Vol. 2013, Issue 2 https://doi.org/10.1007/JHEP02(2013)127	journal	February 2013
Yang-Mills Origin of Gravitational Symmetries Anastasiou, A.; Borsten, L.; Duff, M. J. Physical Review Letters, Vol. 113, Issue 23 https://doi.org/10.1103/PhysRevLett.113.231606	journal	December 2014
A double copy for N = 2 $$ \mathcal{N}=2 $$ supergravity: a linearised tale told on-shell Cardoso, G. L.; Nagy, S.; Nampuri, S. Journal of High Energy Physics, Vol. 2016, Issue 10 https://doi.org/10.1007/JHEP10(2016)127	journal	October 2016
Spontaneously broken Yang-Mills-Einstein supergravities as double copies Chiodaroli, Marco; Günaydin, Murat; Johansson, Henrik Journal of High Energy Physics, Vol. 2017, Issue 6 https://doi.org/10.1007/JHEP06(2017)064	journal	June 2017
An extended Kerr–Schild ansatz Ett, Benjamin; Kastor, David Classical and Quantum Gravity, Vol. 27, Issue 18 https://doi.org/10.1088/0264-9381/27/18/185024	journal	August 2010
Colour-Kinematics duality for one-loop rational amplitudes Boels, Rutger H.; Isermann, Reinke Sven; Monteiro, Ricardo Journal of High Energy Physics, Vol. 2013, Issue 4 https://doi.org/10.1007/JHEP04(2013)107	journal	April 2013
Dual identities inside the gluon and the graviton scattering amplitudes Henry Tye, S. -H.; Zhang, Yang Journal of High Energy Physics, Vol. 2010, Issue 6 https://doi.org/10.1007/JHEP06(2010)071	journal	June 2010
Geometry of the 2+1 black hole Bañados, Máximo; Henneaux, Marc; Teitelboim, Claudio Physical Review D, Vol. 48, Issue 4 https://doi.org/10.1103/PhysRevD.48.1506	journal	August 1993

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