Abstract
Recently it was found, in abroad class of models, that the dark energy density may change its signduring the evolution of the universe. This may lead to a global collapseof the universe within the time tc ~ 1010–1011 years. Ourgoal is to find what bounds on the future lifetime of the universe can beplaced by the next generation of cosmological observations. As an example,we investigate the simplest model of dark energy with a linear potentialV(ϕ) = V0(1 + αϕ). This model can describe the present stageof acceleration of the universe if α is small enough. However,eventually the field ϕ rolls down, V(ϕ) becomes negative, andthe universe collapses. The existing observational data indicate that theuniverse described by this model will collapse not earlier than tc ≳ 10 billion years from the present moment. We show thatthe data from SNAP and Planck satellites may extend the bound on the `doomsday' time to tc ≳ 40 billion years at the 95% confidence level.
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