Ricci curvature sourced by a Klein-Gordon scalar field

For the conserved scalar stress tensor above,

R_{μν} = \frac{κ}{2} [\nabla_{μ} ϕ \nabla_{ν} ϕ + \frac{m ^{2}}{D - 2} g_{μν} ϕ^{2}] .

 Ancestors (6)