Sudden singularities survive massive quantum particle production

Abstract

We solve the Klein-Gordon equation for a massive, non-minimally coupled scalar field, with a conformal coupling, undergoing cosmological evolution from a radiation-dominated phase to a future sudden singularity. We show that, after regularisation, the energy of the created particles is zero and the back-reaction from quantum effects does not change the evolution of the universe near the future singularity and cannot prevent the finite-time sudden singularity.

Latex file, 13 pages. New references, enlarged discussions in the Introduction and in the Conclusions and some other minor modifications. Accepted for publication in Physical Review D

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