Jerzy Lewandowski and Tomasz Pawlowski 2003 Class. Quantum Grav. 20 587 doi:10.1088/0264-9381/20/4/303
Jerzy Lewandowski1,2,3 and Tomasz Pawlowski1,2
Show affiliationsWe derive all the axi-symmetric, vacuum and electrovac extremal isolated horizons. It turns out that for every horizon in this class, the induced metric tensor, the rotation 1-form potential and the pullback of the electromagnetic field necessarily coincide with those induced by the monopolar, extremal Kerr–Newman solution on the event horizon. We also discuss the general case of a symmetric, extremal isolated horizon. In particular, we analyse the case of a two-dimensional symmetry group generated by two null vector fields. Its relevance to the classification of all the symmetric isolated horizons, including the non-extremal ones, is explained.
04.20.Ex Initial value problem, existence and uniqueness of solutions
Issue 4 (21 February 2003)
Received 15 October 2002
Published 22 January 2003
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