Towards canonical quantum gravity for G1 geometries in 2+1 dimensions with a Λ-term

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	2014-03-01T01:29:22Z
dc.date.available	2014-03-01T01:29:22Z
dc.date.issued	2008	en
dc.identifier.issn	0264-9381	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19250
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	SPHERICALLY SYMMETRIC-SYSTEMS	en
dc.subject.other	BLACK-HOLE	en
dc.subject.other	APPARENT HORIZON	en
dc.subject.other	QUANTIZATION	en
dc.subject.other	DYNAMICS	en
dc.subject.other	FIELDS	en
dc.title	Towards canonical quantum gravity for G1 geometries in 2+1 dimensions with a Λ-term	en
heal.type	journalArticle	en
heal.identifier.primary	10.1088/0264-9381/25/23/235014	en
heal.identifier.secondary	http://dx.doi.org/10.1088/0264-9381/25/23/235014	en
heal.identifier.secondary	235014	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	The canonical analysis and subsequent quantization of the (2+1)-dimensional action of pure gravity plus a cosmological constant term is considered, under the assumption of the existence of one spacelike Killing vector field. The proper imposition of the quantum analogues of two linear (momentum) constraints reduces an initial collection of state vectors, consisting of all smooth functionals of the components (and/or their derivatives) of the spatial metric, to particular scalar smooth functionals. The demand that the midi-superspace metric (inferred from the kinetic part of the quadratic (Hamiltonian) constraint) must define on the space of these states an induced metric whose components are given in terms of the same states, which is made possible through an appropriate re-normalization assumption, severely reduces the possible state vectors to three unique (up to general coordinate transformations) smooth scalar functionals. The quantum analogue of the Hamiltonian constraint produces a Wheeler-DeWitt equation based on this reduced manifold of states, which is completely integrated. © 2008 IOP Publishing Ltd.	en
heal.publisher	IOP PUBLISHING LTD	en
heal.journalName	Classical and Quantum Gravity	en
dc.identifier.doi	10.1088/0264-9381/25/23/235014	en
dc.identifier.isi	ISI:000260998900014	en
dc.identifier.volume	25	en
dc.identifier.issue	23	en