Toward explaining black hole entropy quantization in loop quantum gravity

Journal article
(Original article)


Publication Details

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


Abstract


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

APA:
Sahlmann, H. (2007). Toward explaining black hole entropy quantization in loop quantum gravity. Physical Review D - Particles, Fields, Gravitation and Cosmology, 76(10). https://dx.doi.org/10.1103/PhysRevD.76.104050

MLA:
Sahlmann, Hanno. "Toward explaining black hole entropy quantization in loop quantum gravity." Physical Review D - Particles, Fields, Gravitation and Cosmology 76.10 (2007).

BibTeX: 

Last updated on 2019-20-03 at 15:53

Share link