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We show that all static spacetimes in higher dimensions are of Weyl types G, I_i, D or O.
The Riemannian and affine differential geometry of product-spaces
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Einstein Spaces
A. Z. Petrov · 1969
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Type D vacuum metrics
W. Kinnersley · 1969
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Einstein tensor and spherical symmetry
J. Plebański and J. Stachel · 1979
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Dynamics of dimensional reduction
P. G. O. Freund and M. A. Rubin · 1980
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R. C. Myers and M. J. Perry · 1986
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On the geometry of warped spacetimes
J. Carot and J. da Costa · 1993
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New examples of sandwich gravitational waves and their impulsive limit
J. Podolský and K. Veselý · 1998
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Properties of naked black holes
G. T. Horowitz and S. F. Ross · 1998
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A rotating black ring solution in five dimensions
R. Emparan and H. S. Reall · 2002
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Exact Solutions of Einstein’s Field Equations
H. Stephani, D. Kramer, M. MacCallum, C. Hoenselaers, and E. Herlt · 2003
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Stationary Einstein-Maxwell fields in arbitrary dimensions
D. Ida and Y. Uchida · 2003
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Particle and light motion in a space-time of a five-dimensional rotating black hole
V. P. Frolov and D. Stojković · 2003
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Generalizations of pp
A. Coley, R. Milson, N. Pelavas, V. Pravda, A. Pravdová, and R. Zalaletdinov · 2003
Cited alongside, same era.
Double warped spacetimes
M. P. M. Ramos and E. G. L. R. Vaz · 2003
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Classification of the Weyl tensor in higher dimensions
A. Coley, R. Milson, V. Pravda, and A. Pravdová · 2004
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Bianchi identities in higher dimensions
V. Pravda, A. Pravdová, A. Coley, and R. Milson · 2004
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Quasi-local rotating black holes in higher dimension: geometry
J. Lewandowski and T. Pawlowski · 2005
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Algebraic classification of higher dimensional spacetimes
A. Coley and N. Pelavas · 2006
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Black rings with a small electric charge: gyromagnetic ratios and algebraic alignment
M. Ortaggio and V. Pravda · 2006
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General Kerr-NUT-AdS metrics in all dimensions
W. Chen, H. Lü, and C. N. Pope · 2006
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Black rings
R. Emparan and H. S. Reall · 2006
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Robinson-Trautman spacetimes in higher dimensions
J. Podolský and M. Ortaggio · 2006
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Stationary and axisymmetric solutions of higher-dimensional general relativity
T. Harmark · 2004
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Nariai, Bertotti-Robinson and anti-Nariai solutions in higher dimensions
V. Cardoso, Ó. J. C. Dias, and J. P. S. Lemos · 2004
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Alignment and algebraically special tensors in Lorentzian geometry
R. Milson, A. Coley, V. Pravda, and A. Pravdová · 2005
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WANDs of the black ring
V. Pravda and A. Pravdová · 2005
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in preparation
V. Pravda, A. Pravdová, and M. Ortaggio,
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Black saturn, hep-th/0701035
H. Elvang and P. Figueras
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M. Ortaggio, V. Pravda, and A. Pravdová · 2007
Closest in time.
Kerr-NUT-de Sitter curvature in all dimensions
N. Hamamoto, T. Houri, T. Oota, and Y. Yasui · 2007
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Black diring and infinite nonuniqueness
H. Iguchi and T. Mishima · 2007
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A higher dimensional stationary rotating black hole must be axisymmetric
S. Hollands, A. Ishibashi, and R. M. Wald · 2007
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