Dynamical Synchronization, the Horizon Problem, and Initial Conditions for 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. © 2023 The authors.