New variables for classical and quantum gravity in all dimensions: V. Isolated horizon boundary degrees of freedom

Journal article


Publication Details

Author(s): Bodendorfer N, Thiemann T, Thurn A
Journal: Classical and Quantum Gravity
Publisher: IOP PUBLISHING LTD
Publication year: 2014
Volume: 31
Journal issue: 5
ISSN: 0264-9381


Abstract


In this paper, we generalize the treatment of isolated horizons in loop quantum gravity, resulting in a Chern-Simons theory on the boundary in the four-dimensional case, to non-distorted isolated horizons in 2(n + 1)-dimensional spacetimes. The key idea is to generalize the four-dimensional isolated horizon boundary condition by using the Euler topological density E-(2n) of a spatial slice of the black hole horizon as a measure of distortion. The resulting symplectic structure on the horizon coincides with the one of higher-dimensional SO(2(n + 1))-Chern-Simons theory in terms of a Peldan-type hybrid connection Gamma(0) and resembles closely the usual treatment in (3 + 1) dimensions. We comment briefly on a possible quantization of the horizon theory. Here, some subtleties arise since higher-dimensional non-Abelian Chern-Simons theory has local degrees of freedom. However, when replacing the natural generalization to higher dimensions of the usual boundary condition by an equally natural stronger one, it is conceivable that the problems originating from the local degrees of freedom are avoided, thus possibly resulting in a finite entropy.



FAU Authors / FAU Editors

Bodendorfer, Norbert
Lehrstuhl für Theoretische Physik
Thiemann, Thomas Prof. Dr.
Lehrstuhl für Theoretische Physik
Thurn, Andreas
Lehrstuhl für Theoretische Physik


How to cite

APA:
Bodendorfer, N., Thiemann, T., & Thurn, A. (2014). New variables for classical and quantum gravity in all dimensions: V. Isolated horizon boundary degrees of freedom. Classical and Quantum Gravity, 31(5). https://dx.doi.org/10.1088/0264-9381/31/5/055002

MLA:
Bodendorfer, Norbert, Thomas Thiemann, and Andreas Thurn. "New variables for classical and quantum gravity in all dimensions: V. Isolated horizon boundary degrees of freedom." Classical and Quantum Gravity 31.5 (2014).

BibTeX: 

Last updated on 2018-19-04 at 04:11