Manuscript X-D-ST@1 · X-D-ST.tex · section · e0cf8fdb

The smeared linear background kernel

Identification: continuous coordinates and normal flux › The smeared linear background kernel · lines 1266–1277

Define

C^{ρ} [h] = - \partial_{μ} a_{1}^{μ ρ} [h], (C^{*} b)^{α β} = - \partial^{(α} b^{β)} + \frac{1}{2} η^{α β} \partial_{μ} b^{μ} .

Parentheses include the factor $1/2$ .

Displayed formulas in this passage

unlabeled · line 1269
$C^{ρ} [h] = - \partial_{μ} a_{1}^{μ ρ} [h], (C^{*} b)^{α β} = - \partial^{(α} b^{β)} + \frac{1}{2} η^{α β} \partial_{μ} b^{μ} .$