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We study some symmetry and integrability properties of four-dimensional Einstein-Maxwell gravity with nonvanishing cosmological constant in the presence of Killing vectors.
W. Kinnersley and D. M. Chitre, “Symmetries of the stationary Einstein-Maxwell field equations. 3.,” J. Math. Phys. 19
1926
Earlier work this paper cites.
V. A. Belinsky and V. E. Zakharov, “Integration of the Einstein equations by the inverse scattering problem technique and the calculation of the exact soliton solutions,” Sov. Phys. JETP 48
1953
Earlier work this paper cites.
J. Ehlers, “Konstruktionen und Charakterisierung von Lösungen der Einsteinschen Gravitationsfeldgleichungen,” Dissertation (Hamburg University, 1957)
1957
Earlier work this paper cites.
R. A. Matzner and C. W. Misner, “Gravitational field equations for sources with axial symmetry and angular momentum,” Phys. Rev. 154
1967
Earlier work this paper cites.
B. K. Harrison, “New solutions of the Einstein-Maxwell equations from old,” J. Math. Phys. 9
1968
Earlier work this paper cites.
R. P. Geroch, “A method for generating solutions of Einstein’s equations,” J. Math. Phys. 12
1971
Earlier work this paper cites.
R. P. Geroch, “A method for generating new solutions of Einstein’s equation. 2,” J. Math. Phys. 13
1972
Earlier work this paper cites.
S. W. Hawking, “Black holes in general relativity,” Commun. Math. Phys. 25
1972
Earlier work this paper cites.
S. W. Hawking and G. F. R. Ellis, “The large scale structure of space-time,” Cambridge University Press, Cambridge, 1973
1973
Earlier work this paper cites.
A. Krasiński, “Solutions of the Einstein field equations for a rotating perfect fluid, part 2 - properties of the flow-stationary and vortex-homogeneous solutions,” Acta Phys. Polon. B 6
1974
Earlier work this paper cites.
A. Krasiński, “Some solutions of the Einstein field equations for a rotating perfect fluid distribution,” J. Math. Phys. 16
1975
Earlier work this paper cites.
J. F. Plebański and M. Demiański, “Rotating, charged, and uniformly accelerating mass in general relativity,” Annals Phys. 98
1976
Earlier work this paper cites.
W. Kinnersley, “Symmetries of the stationary Einstein-Maxwell field equations. 1.,” J. Math. Phys. 18
1977
Earlier work this paper cites.
W. Kinnersley and D. M. Chitre, “Symmetries of the stationary Einstein-Maxwell field equations. 2.,” J. Math. Phys. 18
1977
Earlier work this paper cites.
B. K. Harrison, “Bäcklund transformation for the Ernst equation of general relativity,” Phys. Rev. Lett 41
1978
Earlier work this paper cites.
D. Maison, “Are the stationary, axially symmetric Einstein equations completely integrable?,” Phys. Rev. Lett. 41
1978
Earlier work this paper cites.
G. Neugebauer, “Bäcklund transformations of axially symmetric stationary gravitational fields,” J. Phys. A 12
1979
Earlier work this paper cites.
C. Hoenselaers, W. Kinnersley and B. C. Xanthopoulos, “Symmetries of the stationary Einstein-Maxwell equations. 6. Transformations which generate asymptotically flat space-times,” J. Math. Phys. 20
1979
Earlier work this paper cites.
D. Maison, “Ehlers-Harrison type transformations for Jordan’s extended theory of gravitation,” Gen. Rel. Grav. 10
1979
Earlier work this paper cites.
G. A. Alekseev, “ N N soliton solutions of the Einstein-Maxwell equations,” JETP Lett. 32
1980
Earlier work this paper cites.
C. M. Cosgrove, “Relationships between the group theoretic and soliton theoretic techniques for generating stationary axisymmetric gravitational solutions,” J. Math. Phys. 21
1980
Cited alongside, same era.
I. Hauser and F. J. Ernst, “Proof of a Geroch conjecture,” J. Math. Phys. 22
1981
Cited alongside, same era.
R. C. Myers and M. J. Perry, “Black holes in higher-dimensional space-times,” Annals Phys. 172
1986
Cited alongside, same era.
P. Breitenlohner and D. Maison, “On the Geroch group,” Annales Poincare Phys. Theor. 46
1987
Cited alongside, same era.
P. Breitenlohner, D. Maison and G. W. Gibbons, “Four-dimensional black holes from Kaluza-Klein theories,” Commun. Math. Phys. 120
1988
Cited alongside, same era.
G. Dibitetto, “Soluzioni assisimmetriche in relatività generale con costante cosmologica,” bachelor thesis, Università degli Studi di Milano, accademic year 2004-2005 (in italian)
2005
Later among the works it cites.
A. A. Pomeransky, “Complete integrability of higher-dimensional Einstein equations with additional symmetry, and rotating black holes,” Phys. Rev. D 73
2006
Later among the works it cites.
J. B. Griffiths and J. Podolsky, “A new look at the Plebański-Demiański family of solutions,” Int. J. Mod. Phys. D 15
2006
Later among the works it cites.
C. Charmousis, D. Langlois, D. A. Steer and R. Zegers, “Rotating spacetimes with a cosmological constant,” JHEP 0702
2007
Later among the works it cites.
D. Persson and N. Tabti, “Lectures on Kac-Moody algebras with applications in (super-)gravity”, based on lectures at the Third Modave summer school on mathematical physics
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H. Nicolai, “Two-dimensional gravities and supergravities as integrable system,” Lect. Notes Phys. 396
1991
Cited alongside, same era.
N. O. Santos, “Stationary cylindrically symmetric vacuum solutions with Λ \Lambda ,” Class. Quant. Grav. 10
1993
Cited alongside, same era.
A. Krasiński, “Stationary cylindrically symmetric vacuum solutions with Lambda,” Class. Quant. Grav. 11
1994
Cited alongside, same era.
J. P. S. Lemos, “Cylindrical black hole in general relativity,” Phys. Lett. B 353
1995
Cited alongside, same era.
D. V. Gal’tsov, A. A. García and O. V. Kechkin, “Symmetries of the stationary Einstein-Maxwell dilaton theory,” Class. Quant. Grav. 12
1995
Cited alongside, same era.
R. G. Cai and Y. Z. Zhang, “Black plane solutions in four-dimensional space-times,” Phys. Rev. D 54
1996
Cited alongside, same era.
R. B. Mann, “Pair production of topological anti-de Sitter black holes,” Class. Quant. Grav. 14
1997
Cited alongside, same era.
2007
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
G. Alekseev and V. Belinski, “Einstein-Maxwell solitons,” AIP Conf. Proc. 1132
2009
Later among the works it cites.
2009
Later among the works it cites.
H. Nicolai, “Infinite-dimensional symmetries”, based on lectures at the 15th Saalburg summer school
2009
Later among the works it cites.
2010
Later among the works it cites.
2011
Later among the works it cites.
M. Astorino, “Charging axisymmetric space-times with cosmological constant,” JHEP 1206
2012
Later among the works it cites.
M. Hoegner, “Quaternion-Kaehler four-manifolds and Przanowski’s function,” J. Math. Phys. 53
2012
Later among the works it cites.
D. Katsimpouri, A. Kleinschmidt and A. Virmani, “Inverse scattering and the Geroch group,” JHEP 1302
2013
Later among the works it cites.
2013
Later among the works it cites.
2014
Later among the works it cites.
D. Klemm, “Four-dimensional black holes with unusual horizons,” Phys. Rev. D 89
2014
Later among the works it cites.
2014
Later among the works it cites.