On Uniqueness of Stationary Vacuum Black Holes
نویسنده
چکیده
— We prove uniqueness of the Kerr black holes within the connected, non-degenerate, analytic class of regular vacuum black holes. Résumé (Sur l’unicité de trous noirs stationnaires dans le vide). — On démontre l’unicité de trous noirs de Kerr dans la classe de trous noirs connexes, analytiques, réguliers, non-dégénérés, solutions des équations d’Einstein du vide.
منابع مشابه
v 1 9 O ct 1 99 6 Uniqueness of stationary , electro – vacuum black holes revisited
In recent years there has been some progress in the understanding of the global structure of stationary black hole space–times. In this paper we review some new results concerning the structure of stationary black hole space–times. In particular we prove a corrected version of the “black hole rigidity theorem”, and we prove a uniqueness theorem for static black holes with degenerate connected h...
متن کاملOn the uniqueness of extremal vacuum black holes
We prove uniqueness theorems for asymptotically flat, stationary, extremal, vacuum black hole solutions, in four and five dimensions with one and two commuting rotational Killing fields respectively. As in the non-extremal case, these problems may be cast as boundary value problems on the two dimensional orbit space. We show that the orbit space for solutions with one extremal horizon is homeom...
متن کاملUniqueness and Non-Uniqueness of Static Vacuum Black Holes in Higher Dimensions
With the development of string theory, black holes in higher-dimensional spacetimes have come to play a fundamental role in physics 1). Furthermore, the possibility of black hole production in high energy experiments has recently been suggested in the context of the so-called TeV gravity 2). A TeV-size black hole in TeV gravity is small enough to be well approximated by an asymptotically flat b...
متن کاملStationary Black Holes: Uniqueness and Beyond
The spectrum of known black hole solutions to the stationary Einstein equations has increased in an unexpected way during the last decade. In particular, it has turned out that not all black hole equilibrium configurations are characterized by their mass, angular momentum and global charges. Moreover, the high degree of symmetry displayed by vacuum and electro-vacuum black hole space-times ceas...
متن کاملar X iv : h ep - t h / 02 11 29 0 v 3 1 9 M ay 2 00 3 Higher dimensional black holes and supersymmetry
It has recently been shown that the uniqueness theorem for stationary black holes cannot be extended to five dimensions. However, uniqueness is an important assumption of the string theory black hole entropy calculations. This paper justifies this assumption by proving a uniqueness theorem for supersymmetric black holes in five dimensions. Some remarks concerning general properties of non-super...
متن کامل