Abstract

The possible existence of a conformal perfect fluid in the classical vacuum is investigated in this paper. It is shown, contrary to Madsen's opinion, that the scalar field stress tensor acquires a perfect fluid form even with a nonminimal coupling (ξ=1/6) in the Einstein Lagrangian provided the geometry is the Lorentzian analog of the Euclidean Hawking wormhole. In addition, ourT μν equals, up to a constant factor, the vacuum expectation value of Fulling's stress tensor for a massless scalar field and Visser's one concerning traversable wormholes. On the other side of the light cone, there is a coordinate system (the dimensionally reduced Witten bubble) where the stress tensor becomes diagonal.

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