Toward explaining black hole entropy quantization in loop quantum gravity

Journal article
(Original article)

Publication Details

Author(s): Sahlmann H
Journal: Physical Review D
Publisher: American Physical Society
Publication year: 2007
Volume: 76
Journal issue: 10
ISSN: 1550-7998


In a remarkable numerical analysis of the spectrum of states for a spherically symmetric black hole in loop quantum gravity, Corichi, Diaz-Polo and Fernandez-Borja found that the entropy of the black hole horizon increases in what resembles discrete steps as a function of area. In the present article we reformulate the combinatorial problem of counting horizon states in terms of paths through a certain space. This formulation sheds some light on the origins of this steplike behavior of the entropy. In particular, using a few extra assumptions we arrive at a formula that reproduces the observed step length to a few tenths of a percent accuracy. However, in our reformulation the periodicity ultimately arises as a property of some complicated process, the properties of which, in turn, depend on the properties of the area spectrum in loop quantum gravity in a rather opaque way. Thus, in some sense, a deep explanation of the observed periodicity is still lacking. © 2007 The American Physical Society.

FAU Authors / FAU Editors

Sahlmann, Hanno Prof. Dr.
Professur für Theoretische Physik

How to cite

Sahlmann, H. (2007). Toward explaining black hole entropy quantization in loop quantum gravity. Physical Review D, 76(10).

Sahlmann, Hanno. "Toward explaining black hole entropy quantization in loop quantum gravity." Physical Review D 76.10 (2007).


Last updated on 2018-30-10 at 13:50