Primordial Universe with radiation and Bose–Einstein condensate

In this work we derive a scenario in which the early universe consists of radiation fluid and Bose–Einstein condensate. The possibility of gravitational self-interaction due to an attractive Bose–Einstein condensate is analyzed. The classical behavior of the scale factor of the universe is determined by a parameter associated with the Bose–Einstein fluid with bouncing or Big Crunch solutions. After we proceed to compute the finite-norm wave packet solutions to the Wheeler–DeWitt equation. The behavior of the scale factor is studied by applying the many-worlds interpretation of quantum mechanics. The quantum cosmological model is free from the singularities.