  The article considers a new mechanism of charge accumulation in the early
Universe in theories with compact extra dimensions. The relaxation processes in
the extra space metric that take place during its formation lead to the
establishment of symmetrical extra space configuration. As a result, the
initial accumulation of the number associated with the symmetry occurs. We
demonstrate this mechanism using a simple example of a two-dimensional
apple-like extra space metric with $U(1)$-symmetry. The conceptual idea of the
mechanism can be used to develop a model for the production of the baryon or
lepton number in the early Universe.
