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Effects of quantized free scalar fields in cosmological spacetimes with BigRip singularities are investigated. The energy densities for these fields arecomputed at late times when the expansion is very rapid. For the masslessminimally coupled field it is shown that an attractor state exists in the sensethat, for a large class of states, the energy density of the fieldasymptotically approaches the energy density it would have if it was in theattractor state. Results of numerical computations of the energy density forthe massless minimally coupled field and for massive fields with minimal andconformal coupling to the scalar curvature are presented. For the massivefields the energy density is seen to always asymptotically approach that of thecorresponding massless field. The question of whether the energy densities ofquantized fields can be large enough for backreaction effects to remove the BigRip singularity is addressed.

Effects of Quantized Scalar Fields in Cosmological Spacetimes with Big Rip Singularities