Ricci curvature sourced by a Klein-Gordon scalar field
= Ricci curvature sourced by a Klein-Gordon scalar field
{c}
For the conserved scalar stress tensor above,
$$
R_{\mu\nu}
=\frac\kappa2\left[
\nabla_\mu\phi\nabla_\nu\phi
+\frac{m^2}{D-2}g_{\mu\nu}\phi^2
\right].
$$