Stress-energy of a quantized scalar field in static wormhole spacetimes
General Relativity and Quantum Cosmology
2009-10-28 v1
Abstract
Static traversable wormhole solutions of the Einstein equations require ``exotic'' matter which violates the weak energy condition. The vacuum stress-energy of quantized fields has been proposed as the source for this matter. Using the Dewitt-Schwinger approximation, analytic expressions for the stress-energy of a quantized massive scalar field are calculated in five static spherically symmetric Lorentzian wormhole spacetimes. We find that in all cases, for both minimally and conformally coupled scalar fields, the stress-energy does not have the properties needed to support the wormhole geometry.
Keywords
Cite
@article{arxiv.gr-qc/9608036,
title = {Stress-energy of a quantized scalar field in static wormhole spacetimes},
author = {Brett E. Taylor and William A. Hiscock and Paul R. Anderson},
journal= {arXiv preprint arXiv:gr-qc/9608036},
year = {2009}
}
Comments
18 pages, 2 Postscript figures, RevTeX format, submitted to Physical Review D