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Journal Article

#### On extreme Kerr-throats and zero temperature black-holes

##### Fulltext (public)

1209.4530.pdf

(Preprint), 482KB

document-1.pdf

(Any fulltext), 481KB

##### Supplementary Material (public)

There is no public supplementary material available

##### Citation

Reiris, M. (2014). On extreme Kerr-throats and zero temperature black-holes.*
Classical and Quantum Gravity,* *31*(2): 025001. doi:10.1088/0264-9381/31/2/025001.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0028-FE6C-7

##### Abstract

Recently it was shown that the area A and the angular momentum J of any
apparent horizon on a maximal, axisymmetric and asymptotically flat Cauchy
hyper-surface of a vacuum space-time satisfy necessarily the universal
inequality A >= 8 pi |J|. We show here that the equality A=8 pi |J| is never
attained. As equality is reached (on globally different data sets) when and
only when the surface is an extreme Kerr-throat sphere which has zero
"temperature", then our statement could be rephrased following this
thermodynamic heuristic as the non-existence of apparent horizons of zero
temperature. We study too the global structure of data sets having surfaces
with A=8 pi |J|. This lead us to prove the rigidity of the extreme Kerr-throats
and to investigate the important phenomenon of formation of extreme
Kerr-throats along sequences of data sets.