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Trace-reversed Einstein field equations in D dimensions

{c}

For the conserved scalar stress tensor above,
$$
R_{\mu\nu}
=\frac\kappa2\left[
\nabla_\mu\phi\nabla_\nu\phi
+\frac{m^2}{D-2}g_{\mu\nu}\phi^2
\right].
$$


Ricci curvature sourced by a Klein-Gordon scalar field

Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 1 / 38B / b / Solution

Ricci curvature sourced by a Klein-Gordon scalar field

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Ricci curvature sourced by a Klein-Gordon scalar field

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