Fetching the paper…
Reading the bibliography…
We consider $n$-dimensional spacetimes which are axisymmetric--but not necessarily stationary (!)--in the sense of having isometry group $U(1)^{n-3}$, and which satisfy the Einstein equations with a non-negative cosmological constant.
S. W. Hawking, G. F. R. Ellis, “The Large scale structure of space-time,” Cambridge University Press, Cambridge, 1973
1973
Earlier work this paper cites.
S. Hildebrandt, H. Kaul, Kjell-Ove Widmann, “An existence theorem for harmonic mappings of Riemannian manifolds,” Acta Math. 138
1977
Earlier work this paper cites.
D. Maison: “Ehlers-Harrison-type Transformations for Jordan’s extended theory of graviation,” Gen. Rel. Grav. 10
1979
Earlier work this paper cites.
J. Isenberg and V. Moncrief, “Symmetries of cosmological Cauchy horizons,” Comm. Math. Phys. 89
1983
Earlier work this paper cites.
R. C. Myers and M. J. Perry: “Black holes in higher dimensional spacetimes,” Ann. Phys. 172
1986
Earlier work this paper cites.
R. M. Wald, “General relativity,” University of Chicago Press (1986)
1986
Earlier work this paper cites.
S. A. Hayward, “Quasilocal gravitational energy,” Phys. Rev. D49
1994
Earlier work this paper cites.
S. A. Hayward, T. Shiromizu, K. -I. Nakao, “A Cosmological constant limits the size of black holes,” Phys. Rev. D49
1994
Cited alongside, same era.
J. M. Bardeen, and G. T. Horowitz, “The extreme Kerr throat geometry: A vacuum analog of AdS(2) x S(2),” Phys. Rev. D 60
1999
Cited alongside, same era.
G. J. Galloway, R. Schoen, “A Generalization of Hawking’s black hole topology theorem to higher dimensions,” Commun. Math. Phys. 266
2006
Cited alongside, same era.
R. Emparan and H. S. Reall: “Black Rings”, Class. Quant. Grav. 23
2006
Cited alongside, same era.
S. Hollands, A. Ishibashi, R. M. Wald, “A Higher dimensional stationary rotating black hole must be axisymmetric,” Commun. Math. Phys. 271
2007
Cited alongside, same era.
I. Racz, “A Simple proof of the recent generalisations of Hawking’s black hole topology theorem,” Class. Quant. Grav. 25
2008
Later among the works it cites.
H. K. Kunduri, J. Lucietti, “A Classification of near-horizon geometries of extremal vacuum black holes,” J. Math. Phys. 50
2009
Later among the works it cites.
H. K. Kunduri, J. Lucietti, “Static near-horizon geometries in five dimensions,” Class. Quant. Grav. 26
2009
Later among the works it cites.
S. Hollands, A. Ishibashi, “All vacuum near horizon geometries in arbitrary dimensions,” Annales Henri Poincare 10
2010
Later among the works it cites.
S. Dain, M. Reiris: “Area-angular momentum inequality for axisymmetric black holes,” Phys. Rev. Lett. 107
2011
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
H. K. Kunduri, J. Lucietti, J. and H. S. Reall: “Near-horizon symmetries of extremal black holes,” Class. Quant. Grav. 24
2007
Cited alongside, same era.
S. Hollands, S. Yazadjiev, “Uniqueness theorem for 5-dimensional black holes with two axial Killing fields,” Commun. Math. Phys. 283
2008
Cited alongside, same era.
Cited in the paper.
Cited in the paper.
A. A. Pomeransky and R. A. Sen’ kov, “Black ring with two angular momenta”, [hep-th/0612005v1]
Cited in the paper.
Cited in the paper.
S. Hollands, S. Yazadjiev, “A Uniqueness theorem for stationary Kaluza-Klein black holes,” Commun. Math. Phys. 302
2011
Closest in time.