Classical Bianchi Type I Cosmology in K-Essence Theory

الملخص EN

We use one of the simplest forms of the K-essence theory and we apply it to the classical anisotropic Bianchi type I cosmological model, with a barotropic perfect fluid ( p = γ ρ ) modeling the usual matter content and with cosmological constant Λ .

Classical exact solutions for any γ ≠ 1 and Λ = 0 are found in closed form, whereas solutions for Λ ≠ 0 are found for particular values in the barotropic parameter.

We present the possible isotropization of the cosmological model Bianchi I using the ratio between the anisotropic parameters and the volume of the universe.

We also include a qualitative analysis of the analog of the Friedmann equation.