Early universe with dust and Chaplygin gas

In this work, we analyze the quantum dynamics contained in the Planck era, its emergence mechanism for the inflationary phase and its classical dynamics in an isotropic and homogeneous model composed of a perfect fluid in the form of dust and Chaplygin gas. The model is numerically quantized by the Crank–Nicolson method, and quantum tunneling probabilities are calculated in terms of the model parameters. When we compared the results with those corresponding to the solutions obtained from a model with radiation and Chaplygin gas, we observed that a higher probability of tunneling is observed in models with dust than in models with radiation. The results have shown that universes with Chaplygin gas and dust are more likely to arise than universes with Chaplygin gas and radiation.