Uniqueness Theorem for 5-Dimensional Black Holes with Two Axial Killing Fields
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In this article, it was shown 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 "interval structures" coincide.Abstract:
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 “interval 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.read more
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Black Holes in Higher Dimensions
Roberto Emparan,Harvey S. Reall +1 more
TL;DR: This work discusses black-hole solutions of maximal supergravity theories, including black holes in anti-de Sitter space, and reviews Myers-Perry solutions, black rings, and solution-generating techniques.
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Stationary Black Holes: Uniqueness and Beyond
TL;DR: Developments in the subject are reviewed and the uniqueness theorem for the Einstein-Maxwell system is discussed in light of the high degree of symmetry displayed by vacuum and electro-vacuum black-hole spacetimes ceases to exist in self-gravitating non-linear field theories.
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Stationary Black Holes: Uniqueness and Beyond
TL;DR: The spectrum of known black-hole solutions to the stationary Einstein equations has been steadily increasing, sometimes in unexpected ways as mentioned in this paper, and it has turned out that not all blackhole-equilibrium configurations are characterized by their mass, angular momentum and global charges.
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Classification of Near-Horizon Geometries of Extremal Black Holes.
Hari K. Kunduri,James Lucietti +1 more
TL;DR: Any spacetime containing a degenerate Killing horizon, such as an extremal black hole, possesses a well-defined notion of a near-horizon geometry, which is reviewed in a variety of dimensions and theories in a unified manner.
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Numerical methods for finding stationary gravitational solutions
TL;DR: In this paper, the mathematical foundations and a practical guide for the numerical solution of gravitational boundary value problems are explained and several tools and tricks that have been useful throughout the literature are presented.
References
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TL;DR: In this paper, the authors discuss the General Theory of Relativity in the large and discuss the significance of space-time curvature and the global properties of a number of exact solutions of Einstein's field equations.
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Black holes in higher dimensional space-times
Robert C. Myers,Malcolm J. Perry +1 more
TL;DR: In this paper, a new family of solutions were found which describe spinning black holes in higher dimensional space-times, which are similar to the familiar Kerr and Schwarzschild metrics which are recovered for N = 3.
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Black holes in general relativity
TL;DR: In this paper, it is shown that a stationary black hole must have topologically spherical boundary and must be axisymmetric if it is rotating, and these results together with those of Israel and Carter go most of the way towards establishing the conjecture that any stationary blackhole is a Kerr solution.