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Quantum horizons and black-hole entropy: inclusion of distortion and rotation

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Abhay Ashtekar, Jonathan Engle and Chris Van Den Broeck

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LETTER TO THE EDITOR

Equilibrium states of black holes can be modelled by isolated horizons. If the intrinsic geometry is spherical, they are called type I while if it is axi-symmetric, they are called type II. The detailed theory of the geometry of quantum type I horizons and the calculation of their entropy can be generalized to type II, thereby including arbitrary distortions and rotations. The leading term in entropy of large horizons is again given by 1/4th of the horizon area for the same value of the Barbero–Immirzi parameter as in the type I case. Ideas and constructions underlying this extension are summarized.


PACS

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

04.60.Pp Loop quantum gravity, quantum geometry, spin foams

MSC

83C57 Black holes

Subjects

Gravitation and cosmology

Dates

Issue 4 (21 February 2005)

Received 1 December 2004, in final form 4 January 2005

Published 27 January 2005



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