Towards canonical quantum gravity for 3+1 geometries admitting maximally symmetric two-dimensional surfaces

Christodoulakis, T; Doulis, G; Terzis, PA; Melas, E; Grammenos, Th; Papadopoulos, GO; Spanou, A

dc.contributor.author	Christodoulakis, T	en
dc.contributor.author	Doulis, G	en
dc.contributor.author	Terzis, PA	en
dc.contributor.author	Melas, E	en
dc.contributor.author	Grammenos, Th	en
dc.contributor.author	Papadopoulos, GO	en
dc.contributor.author	Spanou, A	en
dc.date.accessioned	2014-03-01T01:34:48Z
dc.date.available	2014-03-01T01:34:48Z
dc.date.issued	2010	en
dc.identifier.issn	0264-9381	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20864
dc.subject	Canonical Decomposition	en
dc.subject	Quantum Gravity	en
dc.subject.classification	Astronomy & Astrophysics	en
dc.subject.classification	Physics, Multidisciplinary	en
dc.subject.classification	Physics, Particles & Fields	en
dc.subject.other	GENERAL-RELATIVITY	en
dc.subject.other	APPARENT HORIZON	en
dc.subject.other	BLACK-HOLES	en
dc.subject.other	SYSTEMS	en
dc.subject.other	QUANTIZATION	en
dc.subject.other	DYNAMICS	en
dc.subject.other	FIELDS	en
dc.title	Towards canonical quantum gravity for 3+1 geometries admitting maximally symmetric two-dimensional surfaces	en
heal.type	journalArticle	en
heal.identifier.primary	10.1088/0264-9381/27/14/145018	en
heal.identifier.secondary	http://dx.doi.org/10.1088/0264-9381/27/14/145018	en
heal.identifier.secondary	145018	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	The canonical decomposition of all 3+1 geometries admitting two-dimensional space-like surfaces is exhibited as a generalization of a previous work. A proposal, consisting of a specific renormalization Assumption and an accompanying Requirement, which has been put forward in the 2+1 case is now generalized to 3+1 dimensions. This enables the canonical quantization of these geometries through a generalization of Kucha's quantization scheme in the case of infinite degrees of freedom. The resulting Wheeler-DeWitt equation is based on a renormalized manifold parameterized by three smooth scalar functionals. The entire space of solutions to this equation is analytically given, a fact that is entirely new to the present case. This is made possible through the exploitation of the residual freedom in the choice of the third functional, which is left by the imposition of the Requirement, and is proven to correspond to a general coordinate transformation in the renormalized manifold. © 2010 IOP Publishing Ltd.	en
heal.publisher	IOP PUBLISHING LTD	en
heal.journalName	Classical and Quantum Gravity	en
dc.identifier.doi	10.1088/0264-9381/27/14/145018	en
dc.identifier.isi	ISI:000278576500018	en
dc.identifier.volume	27	en
dc.identifier.issue	14	en