Please use this identifier to cite or link to this item:
http://hdl.handle.net/2289/3255
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) |
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 |
Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.