Interacting phantom cosmology via Noether symmetry approach

Abstract

In this paper, we have presented a cosmological model where a phantom scalar field is minimally coupled to dark matter component. Noether symmetry method was applied both to investigate the cosmological solution and to find out what is the form of the potential of scalar field and the unknown function in the considered model. By using this method, these forms are resulted as trigonometric functions. Also, the obtained cosmological solutions are compatible with observations describing the accelerated expansion of the Universe. Furthermore, it turns out that the effective equation of state parameter in the model can cross the phantom divide line.

Analytic Solution and Noether Symmetries for the Hyperbolic Inflationary Model in the Jordan Frame

“…Specifically the variational symmetry conditions are applied in order to constrain the unknown functions and parameters of the gravitational Lagrangian. Such a method has been widely used in cosmology with many interesting results [59][60][61][62][63][64][65]. For a detailed review of the application of the variational symmetries in gravitational physics we refer the reader in [66].…”