Manuscript Em01-F@3 · Em01-F-v3.tex · section · 225e59af

First action-to-source calculation

Explicit cubic density and source audit › First action-to-source calculation · lines 1160–1184

Put

C (h)_{μν}^{ρ} = \frac{1}{2} η^{ρ σ} S (h)_{σ μν}, C_{2} (h)_{μν}^{ρ} = - \frac{1}{2} h^{ρ σ} S (h)_{σ μν} .

Then $C = Γ_{1}$ , $C_{2} = Γ_{2}$ . Define

V_{1} (h)_{μν} = R_{1, μν} - \frac{1}{2} η_{μν} r_{1},

V_{2} (h)_{μν} = R_{2, μν} - \frac{1}{2} η_{μν} r_{2} - \frac{1}{2} h_{μν} r_{1} .

Displayed formulas in this passage

unlabeled · line 1163
$C (h)_{μν}^{ρ} = \frac{1}{2} η^{ρ σ} S (h)_{σ μν}, C_{2} (h)_{μν}^{ρ} = - \frac{1}{2} h^{ρ σ} S (h)_{σ μν} .$
unlabeled · line 1173
$V_{1} (h)_{μν} = R_{1, μν} - \frac{1}{2} η_{μν} r_{1},$
unlabeled · line 1178
$V_{2} (h)_{μν} = R_{2, μν} - \frac{1}{2} η_{μν} r_{2} - \frac{1}{2} h_{μν} r_{1} .$