Answer Happy

Here we will/have studied inflation analytically with the
slow-roll approximation. I need help with the following
exercise:
Assuming spatial flatness and that the scalar field dominates the energy density, the equations governing the evolution of the scalar field and the scale factor are 0 + 3H0 + ħc V'0) = 0 = ...(1) and 871G 1 H2 = + 3c2 2202 V(0 (2) Show that (1) and (2) can be rewritten as db dt + 3h db dv + dt dy 0 (3) d dt in (4) => [_(a)] =h(1) x。 All (?) * +v(m [ 2 h2 == 87 [1 / db 3 2 di + .(5) We have also been given that: H} = V(:) 87G = -V 3c2 T= Hit

H h II Hi = E r3 V = HE and hc° E G which is the Planck energy, while the Planck mass and Planck length is given by mi ħc GP ħG 3 (don't think the last two variables is necessary for solving this exercise, but included it anyway)