Thank you! Managed to crack it :) slightly stuck for the units all being 1/time^2 though, do φ and a just have units of time? If so then surely φ'' is unitless?
Hello, I am having trouble deriving the equation of motion for the quintessence field.
The equation of motion which I am meant to get at the end point is: (with ' denoting derivative w.r.t time)
φ'' + 3Hφ' + dV/dφ = 0
Using the inflaton lagrangian:
(although with a generic potential V(φ)...