Isolated horizons: The classical phase space
type: Item
instance of: scholarly article
title: Isolated horizons: The classical phase space
zbMATH Open document ID: 0983.83017
author: Abhay Ashtekar
author: Alejandro Corichi
author: Kirill Krasnov
published in: Advances in Theoretical and Mathematical Physics
publication date: 2001-04-05T00:00:00Z
full work available at URL: https://arxiv.org/abs/gr-qc/9905089
review text: The authors introduce the notion of a non-rotating isolated horizon, construct an action which yields Einstein's equations for histories admitting these horizons, and obtain a Hamiltonian framework in terms of real su(2)-valued fields. The boundary conditions that define isolated, non-rotating horizons \(\Delta\) are specified and those consequences of these boundary conditions that are needed in the Hamiltonian formulation and quantization are discussed. It is found that there is a surprising and interesting interplay between the space-time boundary conditions satisfied by \(\Delta\) and the Chern-Simons theory for a U(1) connection on \(\Delta\). The paper also contains a discussion of the resulting phase space, symplectic structure, constraints and gauge on which quantization is based. The boundary conditions, action and the Hamiltonian formulation for Maxwell and dilaton fields are considered in detail. The modifications that are necessary for incorporating electro-magnetic and dilatonic hair are discussed, too.
reviewed by: Serguey M. Pokas
Mathematics Subject Classification ID: 83C57
Mathematics Subject Classification ID: 81T70
Mathematics Subject Classification ID: 83C05
Mathematics Subject Classification ID: 83C45
Mathematics Subject Classification ID: 83C50
Mathematics Subject Classification ID: 83C60
zbMATH DE Number: 1585176
zbMATH Keywords: non-rotating black holes
zbMATH Keywords: quantum geometry
zbMATH Keywords: connection dynamics
zbMATH Keywords: self-dual connections
zbMATH Keywords: real connections
zbMATH Keywords: boundary conditions for non-rotating isolated horizons
zbMATH Keywords: symmetries
zbMATH Keywords: gauge on isolated horizons
zbMATH Keywords: phase space
zbMATH Keywords: action principle
zbMATH Keywords: Legendre transform
zbMATH Keywords: electromagnetic and dilatonic hair
zbMATH Keywords: Maxwell fields
zbMATH Keywords: dilatonic couplings
Wikidata QID: Q57564476
MaRDI profile type: Publication
arXiv ID: gr-qc/9905089
DOI: 10.4310/ATMP.1999.V3.N3.A1
description: scientific article; zbMATH DE number 1585176