Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-07-18
Commun.Math.Phys.283:749-768,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Latex, 21pp, no figures. v2: technical assumption added, extended discussion of orbit space, results unchanged but sharpened
Scientific paper
10.1007/s00220-008-0516-3
We show that two stationary, asymptotically flat vacuum black holes in 5 dimensions with two commuting axial symmetries are identical if and only if their masses, angular momenta, and their ``rod structures'' coincide. We also show that the horizon must be topologically either a 3-sphere, a ring, or a Lens-space. Our argument is a generalization of constructions of Morisawa and Ida (based in turn on key work of Maison) who considered the spherical case, combined with basic arguments concerning the nature of the factor manifold of symmetry orbits.
Hollands Stefan
Yazadjiev Stoytcho
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