Dynamical synchronization and the horizon problem

  • Spiros Cotsakis RUDN University
Keywords: cosmology, dynamical systems, initial conditions, mixmaster model, inflation


We consider the evolution of homogeneous cosmologies toward the future in a dynamical systems formulation.
Using a variational equation approach, we show that there is a short period in which transient
solutions between the end of a Mixmaster era and a subsequent Friedmannian state exist. Implications of
the generic inhomogeneous evolution toward the future, the recollapse problem, the horizon problem, and
the initial conditions required for inflation are briefly discussed.

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