Volume 107, Number 1, July 2014
|Number of page(s)||5|
|Published online||08 July 2014|
Black-hole entropy from complex Ashtekar variables
1 Centre de Physique Théorique, Campus de Luminy - 13288 Marseille, France
2 Laboratoire APC - Astroparticule et Cosmologie, Université Paris Diderot Paris 7 - 75013 Paris, France
3 Laboratoire de Mathématiques et Physique Théorique, Université François Rabelais Parc de Grandmont, 37200 Tours, France
Received: 16 June 2014
Accepted: 19 June 2014
In loop quantum gravity, the number of microstates of a black hole for a given discrete geometry Γ depends on the so-called Barbero-Immirzi parameter γ. Using a suitable analytic continuation of γ to complex values, we show that the number of microstates behaves as for a large area A in the large spin semiclassical limit. Such a correspondence with the semiclassical Bekenstein-Hawking entropy law points towards an unanticipated and remarkable feature of the original complex Ashtekar variables for quantum gravity.
PACS: 04.70.Dy – Quantum aspects of black holes, evaporation, thermodynamics / 04.60.-m – Quantum gravity
© EPLA, 2014
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