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

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

Publishing date

2004-04-21

URL

arxiv.org/abs/gr-qc/0404090v3

Journals

Class.Quant.Grav. 21 (2004) 4283

Science

Astronomy and Astrophysics

Field

Astrophysics

SubField

General Relativity and Quantum Cosmology

Additional info

Presentation simplified. To appear in CQG

Type

Scientific paper

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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