Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-08-24
Class.Quant.Grav.29:035004,2012
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
14 pages, 1 figure, to appear in CQG
Scientific paper
10.1088/0264-9381/29/3/035004
A new proof of the uniqueness of the Kerr-Newman black hole solutions amongst asymptotically flat, stationary and axisymmetric electro-vacuum spacetimes surrounding a connected Killing horizon is given by means of an explicit construction of the corresponding complex Ernst potentials on the axis of symmetry. This construction, which makes use of the inverse scattering method, also works in the case of a degenerate horizon.
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