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Dynamics of a scalar field in Robertson-Walker spacetimes
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We analyze the dynamics of a single scalar field in Friedmann-Robertson-Walker universes with spatial curvature. We obtain the fixed point solutions which are shown to be late time attractors. In particular, we determine the corresponding scalar field potentials which correspond to these stable solutions. The analysis is quite general and incorporates expanding and contracting universes with both positive and negative scalar potentials. We demonstrate that the known power law, exponential, and de-Sitter solutions are certain limits of our general set of solutions.
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Persistence and Transition Varieties in Scalar Field Cosmology
Bifurcation analysis organizes scalar field FRW cosmologies around five loci for exponential potentials and invariant structures for quadratic ones, classifying physical regimes.
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