General Relativity: An Introduction for Physicists · Problem 16.9

Inflationary cosmology — Hobson, Efstathiou & Lasenby

Physics · inflation-condition-hamilton-jacobi

Problem

In the Hamilton--Jacobi formalism developed in Exercise 16.7, show that the condition for inflation to occur is

2\left[\frac{H'(\phi)}{H(\phi)}\right]^2 < 1.