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Extremal limit for charged and rotating 2+1-dimensional black holes and Bertotti-Robinson geometry

Jerzy Matyjasek·O. B. Zaslavskii
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Abstract

We consider 2+1--dimensional analogues of the Bertotti-Robinson (BR) spacetimes in the sense that the coefficient at the angular part is a constant. We show that such BR-like solutions are either pure static or uncharged rotating. We trace the origin of the inconsistency between a charge and rotation, considering the BR-like spacetime as a result of the limiting transition of a non-extremal black hole to the extremal state. We also find that the quasilocal energy and angular momentum of such BR-like spacetimes calculated within the boundary $l=const$ ($l$ is the proper distance) are constants independent of the position of the boundary.

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Jerzy Matyjasek, O. B. Zaslavskii. 2004-07-14. Extremal limit for charged and rotating 2+1-dimensional black holes and Bertotti-Robinson geometry. https://doi.org/10.1088/0264-9381%2F21%2F17%2F014

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