Has the black hole equilibrium problem been solved?

Abstract

When the term ``black hole'' was originally coined in 1968, it was immediately conjectured that the only pure vacuum equilibrium states were those of the Kerr family. Efforts to confirm this made rapid progress during the ``classical phase'' from 1968 to 1975, and some gaps in the argument have been closed during more recent years. However the presently available demonstration is still subject to undesirably restrictive assumptions such as non-degeneracy of the horizon, as well as analyticity and causality in the exterior.

28 pages Latex. Invited contribution to MG8 meeting, Jerusalem 1997

References in corpus (5)

• On the topology of stationary black holes
• Mass Formulas for Stationary Einstein-Yang-Mills Black Holes and a Simple Proof of Two Staticity Theorems
• Maximal Hypersurfaces in Asymptotically Stationary Space-Times
• N-Black Hole Stationary and Axially Symmetric Solutions of the Einstein-Maxwell Equations
• Black hole hair: twenty--five years after

Cited by in corpus (6)

• On the uniqueness of smooth, stationary black holes in vacuum
• Proof of the (local) angular momemtum-mass inequality for axisymmetric black holes
• Rigidity of stationary black holes with small angular momentum on the horizon
• Notes on several phenomenological laws of quantum gravity
• Binary Black Hole Coalescence
• Gravity Role in Classical Electrodynamics of Charged Point Source