The named plateau Einstein–scalar coupling jet

The metric equations are unswitched at this order, whereas the scalar equation is switched. On the plateau the scalar operator equals the unswitched curved density operator, so these are the Einstein–scalar coefficient equations there. Outside it, no nonlinear completion or switched gauge-fixed gravitational action is claimed.

A nonzero ${\varphi }_0$ is a coupling-expansion coefficient. It is not an assertion that $(\eta ,{\varphi }_0)$ is an exact nonzero-scalar Minkowski solution at nonzero coupling.