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We discuss generic properties of classical and quantum theories of gravitywith a scalar field which are revealed at the vicinity of the cosmologicalsingularity. When the potential of the scalar field is exponential andunbounded from below, the general solution of the Einstein equations hasquasi-isotropic asymptotics near the singularity instead of the usualanisotropic Belinskii - Khalatnikov - Lifshitz (BKL) asymptotics. Depending onthe strength of scalar field potential, there exist two phases of quantumgravity with scalar field: one with essentially anisotropic behavior of fieldcorrelation functions near the cosmological singularity, and another withquasi-isotropic behavior. The ``phase transition'' between the two phases isinterpreted as the condensation of gravitons.

General asymptotic solutions of the Einstein equations and phase transitions in quantum gravity