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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.
ISSN: 0264-9381
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Copyright: 2000 IOP Publishing Ltd.
Appears in Collections:Research Papers (TP)

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