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Title: Spectrum of wormholes

Abstract

Wormholes have been studied mainly in the semiclassical approximation as solutions of the classical Euclidean field equations. However, such solutions are rather special, and exist only for certain kinds of matter. On the other hand, one can represent wormholes in a more general manner as solutions of the Wheeler-DeWitt equation with appropriate boundary conditions. Minisuperspace models with massless minimal or conformal scalar fields have a discrete spectrum of these solutions. The Giddings-Strominger instanton solution corresponds to a sum of an infinite number of these solutions. Minisuperspace models with a massive scalar field also appear to have a discrete spectrum of such solutions, whose asymptotic form is given.

Authors:
 [1];  [2]
  1. (Institute for Theoretical Physics, University of California, Santa Barbara, CA (USA) Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW (United Kingdom))
  2. (Institute for Theoretical Physics, University of California, Santa Barbara, CA (USA) Department of Physics, Pennsylvania State University, University Park, PA (USA) Theoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, AB (Canada))
Publication Date:
OSTI Identifier:
6311667
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review, D (Particles Fields); (USA); Journal Volume: 42:8
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FIELD EQUATIONS; SEMICLASSICAL APPROXIMATION; BLACK HOLES; BOUNDARY CONDITIONS; COSMOLOGICAL MODELS; EIGENVALUES; EUCLIDEAN SPACE; INSTANTONS; RICCI TENSOR; SCALAR FIELDS; YANG-MILLS THEORY; EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL SPACE; QUASI PARTICLES; RIEMANN SPACE; SPACE; TENSORS; 657003* - Theoretical & Mathematical Physics- Relativity & Gravitation

Citation Formats

Hawking, S.W., and Page, D.N.. Spectrum of wormholes. United States: N. p., 1990. Web. doi:10.1103/PhysRevD.42.2655.
Hawking, S.W., & Page, D.N.. Spectrum of wormholes. United States. doi:10.1103/PhysRevD.42.2655.
Hawking, S.W., and Page, D.N.. Mon . "Spectrum of wormholes". United States. doi:10.1103/PhysRevD.42.2655.
@article{osti_6311667,
title = {Spectrum of wormholes},
author = {Hawking, S.W. and Page, D.N.},
abstractNote = {Wormholes have been studied mainly in the semiclassical approximation as solutions of the classical Euclidean field equations. However, such solutions are rather special, and exist only for certain kinds of matter. On the other hand, one can represent wormholes in a more general manner as solutions of the Wheeler-DeWitt equation with appropriate boundary conditions. Minisuperspace models with massless minimal or conformal scalar fields have a discrete spectrum of these solutions. The Giddings-Strominger instanton solution corresponds to a sum of an infinite number of these solutions. Minisuperspace models with a massive scalar field also appear to have a discrete spectrum of such solutions, whose asymptotic form is given.},
doi = {10.1103/PhysRevD.42.2655},
journal = {Physical Review, D (Particles Fields); (USA)},
number = ,
volume = 42:8,
place = {United States},
year = {Mon Oct 15 00:00:00 EDT 1990},
month = {Mon Oct 15 00:00:00 EDT 1990}
}
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