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We review uniqueness theorems as well as other general results about higher dimensional black hole spacetimes.
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Figueras, P., Kunduri, H.K., Lucietti, J., and Rangamani, M.: Extremal vacuum black holes in higher dimensions. Phys. Rev. D 78
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Galloway, G.J.: Rigidity of marginally trapped surfaces and the topology of black holes. Commun. Anal. Geom. 16
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Chruściel, P. T., Galloway, G. J. and Solis, D.: Topological censorship for Kaluza-Klein space-times. Annales Henri Poincare 10
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Dafermos, M. and Rodnianski, I.: The Red-shift effect and radiation decay on black hole spacetimes. Commun. Pure Appl. Math. 62
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Harmark, T.: Domain structure of black hole space-times. Phys. Rev. D 80
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Hollands, S. and Ishibashi, A.: On the ‘Stationary Implies Axisymmetric’ Theorem for Extremal Black Holes in Higher Dimensions. Commun. Math. Phys. 291
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Ionescu, A.D. and Klainerman, S.: On the uniqueness of smooth, stationary black holes in vaccum Invent. Math. 175
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Kunduri, H.K. and Lucietti, J.: A Classification of near-horizon geometries of extremal vacuum black holes. J. Math. Phys. 50
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Kunduri, H.K. and Lucietti, J.: Static near-horizon geometries in five dimensions. Class. Quant. Grav. 26
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Amsel, A.J., Horowitz, G.T., Marolf, D., and Roberts, M.M.: Uniqueness of Extremal Kerr and Kerr-Newman Black Holes. Phys. Rev. D 81
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Chruściel, P.T. and Nguyen, Luc.: A uniqueness theorem for degenerate Kerr-Newman black holes. Annales Henri Poincare 11
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Emparan, R., Harmark, T., Niarchos, V., and Obers, N.A.: Essentials of Blackfold Dynamics. JHEP 1003
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Figueras, P. and Lucietti, J.: On the uniqueness of extremal vacuum black holes. Class. Quant. Grav. 27
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Hollands, S. and Ishibashi, A.: All vacuum near horizon geometries in arbitrary dimensions. Annales Henri Poincaré 10
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2011
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Chen, Y. and Teo, E.: Black holes on gravitational instantons. Nucl. Phys. B 850
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Figueras, P., Lucietti, J., and Wiseman, T.: Ricci solitons, Ricci flow, and strongly coupled CFT in the Schwarzschild Unruh or Boulware vacua. Class. Quant. Grav. 28
2011
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Ida, D., Ishibashi, A., and Shiromizu, T.: Topology and Uniqueness of Higher Dimensional Black Holes. Prog. Theor. Phys. Suppl. 189
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Chruściel, P. T., Costa, J.L., and Heusler, M.: Stationary Black Holes: Uniqueness and Beyond. Living Rev. Rel. 15 (2012) 7
2012
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