Title:	On the metric operator for quantum cylindrical waves
Authors:	Varadarajan, Madhavan
Issue Date:	Jan-2000
Publisher:	IOP Publishing Ltd.
Citation:	Classical and Quantum Gravity, 2000, Vol.17, p189-199
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.
Description:	Restricted Access.
URI:	http://hdl.handle.net/2289/3255
ISSN:	0264-9381
Alternative Location:	http://dx.doi.org/10.1088/0264-9381/17/1/313
Copyright:	2000 IOP Publishing Ltd.
Appears in Collections:	Research Papers (TP)

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