Global dynamics and asymptotics for monomial scalar field potentials and perfect fluids

Understand

We consider a minimally coupled scalar field with a monomial potential and a perfect fluid in flat FLRW cosmology.

• We apply local and global dynamical systems techniques to a new three-dimensional dynamical systems reformulation of the field equations on a compact state space.
• This leads to a visual global description of the solution space and asymptotic behavior.
• At late times we employ averaging techniques to prove statements about how the relationship between the equation of state of the fluid and the monomial exponent of the scalar field affects asymptotic source dominance and asymptotic manifest self-similarity breaking.