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. 
F. G. Alvarenga, L. G. Ferreira Filho, R. Fracalossi, R. C. Freitas,   S. V. B. Gon\c{c}alves, G. A. Monerat, G. Oliveira-Ne...
gr-qc astro-ph.CO