Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1997-02-21
Phys.Rev. D55 (1997) 5212-5214
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
4 pages; ReV_TeX 3.0 in twocolumn mode; two line drawings using the LaTeX picture environment; Accepted for publication in Phy
Scientific paper
10.1103/PhysRevD.55.5212
In this brief report I introduce a yet another class of geometries for which semi-classical chronology protection theorems are of dubious physical reliability. I consider a ``Roman ring'' of traversable wormholes, wherein a number of wormholes are arranged in a ring in such a manner that no subset of wormholes is near to chronology violation, though the combined system can be arbitrarily close to chronology violation. I show that (with enough wormholes in the ring) the gravitational vacuum polarization (the expectation value of the quantum stress-energy tensor) can be made arbitrarily small. In particular the back-reaction can be kept arbitrarily small all the way to the ``reliability horizon''---so that semi-classical quantum gravity becomes unreliable before the gravitational back reaction becomes large.
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