On the metric operator for quantum cylindrical waves

Varadarajan, Madhavan

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/3255

Full metadata record

DC Field	Value	Language
dc.contributor.author	Varadarajan, Madhavan	-
dc.date.accessioned	2007-07-16T09:46:22Z	-
dc.date.available	2007-07-16T09:46:22Z	-
dc.date.issued	2000-01	-
dc.identifier.citation	Classical and Quantum Gravity, 2000, Vol.17, p189-199	en
dc.identifier.issn	0264-9381	-
dc.identifier.uri	http://hdl.handle.net/2289/3255	-
dc.description	Restricted Access.	en
dc.description.abstract	Every (one-polarization) cylindrical wave solution of vacuum general relativity is completely determined by a corresponding axisymmetric solution to the free scalar wave equation on an auxiliary (2 + 1)-dimensional flat spacetime. The physical metric at radius R is determined by the energy, gamma (R ), of the scalar field in a box (in the flat spacetime) of radius R . In a recent work, among other important results, Ashtekar and Pierri have introduced a strategy to study the quantum geometry in this system, through a regularized quantum counterpart of gamma (R ). We show that this regularized object is a densely defined symmetric operator, thereby correcting an error in their proof of this result. We argue that it admits a self-adjoint extension and show that the operator, unlike its classical counterpart, is not positive.	en
dc.format.extent	168028 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	en
dc.publisher	IOP Publishing Ltd.	en
dc.relation.uri	http://dx.doi.org/10.1088/0264-9381/17/1/313	en
dc.rights	2000 IOP Publishing Ltd.	en
dc.title	On the metric operator for quantum cylindrical waves	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

Files in This Item:

File	Description	Size	Format
2000 C&QG.17.P189.pdf Restricted Access	Restricted Access	164.09 kB	Adobe PDF	View/Open Request a copy

Show simple item record