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Extremal Isolated Horizons: A Local Uniqueness Theorem

Jerzy Lewandowski·Tomasz Pawlowski
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Abstract

We 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 analyze 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 once, is explained.

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Jerzy Lewandowski, Tomasz Pawlowski. 2003-02-26. Extremal Isolated Horizons: A Local Uniqueness Theorem. https://doi.org/10.1088/0264-9381%2F20%2F4%2F303

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