, Volume 189, Issue 1, pp 1-7

On Rigidity of Analytic Black Holes

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We establish global extendibility (to the domain of outer communication) of locally defined isometries of appropriately regular analytic black holes. This allows us to fill a gap in the Hawking–Ellis proof of black–hole rigidity.

Received: 25 October 1996 / Accepted: 30 January 1997