General Analytic Solutions of Scalar Field Cosmology with Arbitrary Potential

Understand

We present the solution space for the case of a minimally coupled scalar field with arbitrary potential in a FLRW metric.

• This is made possible due to the existence of a nonlocal integral of motion corresponding to the conformal Killing field of the two-dimensional minisuperspace metric.
• The case for both spatially flat and non flat are studied first in the presence of only the scalar field and subsequently with the addition of non interacting perfect fluids.
• It is verified that this addition does not change the general form of the solution, but only the particular expressions of the scalar field and the potential.