Geometry of nonextreme black holes near the extreme state

Details Geometry of nonextreme black holes near the extreme state Geometry of nonextreme black holes near the extreme state

1997-07-02

arxiv.org/abs/gr-qc/9707015v1

Phys.Rev. D56 (1997) 2188-2191; Erratum-ibid. D59 (1999) 069901

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, Revtex 3.0. To be published in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.56.2188

Nonextreme black hole in a cavity can achieve the extreme state with a zero surface gravity at a finite temperature on a boundary, the proper distance between the boundary and the horizon being finite. The classical geometry in this state is found explicitly for four-dimensional spherically-symmetrical and 2+1 rotating holes. In the first case the limiting geometry depends only on one scale factor and the whole Euclidean manifold is described by the Bertotti-Robinson spacetime. The general structure of a metric in the limit under consideration is also found with quantum corrections taken into account. Its angular part represents two-sphere of a constant radius. In all cases the Lorentzian counterparts of the metrics are free from singularities.

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