Manuscript X-D@3 · X-D-v3.tex · section · b7774529

Transmission equation

Identification of the sharp prescription › Transmission equation · lines 1010–1020

Let $θ$ be the characteristic function of $t > 0$ , and set

A_{sh}^{μν} = η^{μν} + θ (t) (κ a^{μν} + κ^{2} A^{μν}) .

Extend the coordinate map by $x$ for $t < 0$ , and by $x + κ X_{1, 0} + κ^{2} X_{2, 0}$ for $t > 0$ .

Displayed formulas in this passage

unlabeled · line 1013
$A_{sh}^{μν} = η^{μν} + θ (t) (κ a^{μν} + κ^{2} A^{μν}) .$