First-order formalism for scalar field in cosmology

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We present a general procedure to solve the equations of motion for cosmological models driven by real scalar fields with first-order differential equations. The method seems to have great power, since it works for closed, flat or open space-time, for scalar fields with both standard and tachyonic dynamics. We illustrate the procedure solving several examples which model situations of current interest to modern cosmology.
RevTex, 8 pages, 3 eps figures, submitted to PLB on 08/25/2006

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