Generalized Logarithmic Equation of State in Classical and Loop Quantum Cosmology Dark Energy-Dark Matter Coupled Systems

Understand

In this paper we shall study the phase space of a coupled dark energy-dark matter fluids system, in which the dark energy has a generalized logarithmic corrected equation of state.

• Particularly, the equation of state for the dark energy will contain a logarithmic function of the dark energy density $\rho_d$ and will also have quadratic and Chaplygin gas-like terms, expressed in terms of $\rho_d$.
• We shall use the dynamical system approach in order to study the cosmological dynamics, and by appropriately choosing the dynamical system variables, we shall construct an autonomous dynamical system.
• The study will be performed in the context of classical and loop quantum cosmology, and the focus is on finding stable de Sitter attractors.