Analysis of Scalar Field Cosmology with Phase Space Deformations

Figure 1

Dynamics of the deformed phase space model for 𝜔^′2>0. In all the plots of the deformed model, 𝛿₂=𝛿₁=0. The thin line and dashed lines are for 𝜂₀=𝜁₀=1, 𝛽=1,𝜔=0, and 𝜃=5; the dotted line is for 𝜂₀=5/8, 𝜁₀=4, 𝜃=46/5, 𝜔=1, and 𝛽=1/√5. Finally the thick line corresponds to the volume of the de Sitter space time. We can see that for large values of 𝑡 the behaviour is exponential.