Abstract
The authors study conformally invariant fields within the context of semiclassical gravity. They claim that, with a single exception, exact conformally flat solutions are necessarily Friedmann-Robertson-Walker models or their tachyonic fluid analogues. In both cases they rewrite the field equations as a quadratic three-dimensional autonomous system of ordinary differential equations, the critical points of which are Minkowski space and (anti-) de Sitter space. Both Minkowski and de Sitter space are unstable in the linear as well as in the non-linear theory.
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