Manuscript X-A-conv@1 · X-A-conv.tex · section · c76fffa3

A nonzero forced scalar example and a symbolic diagnostic

A nonzero forced scalar example and a symbolic diagnostic · lines 2101–2114

X-A-conv@1#eq:conformalcoordinates

For the auxiliary coordinates, put $χ = S_{ε} ψ$ . Then $H = η χ$ , and

w^{μ} = - E_{0} \partial^{μ} χ, v^{μ} = - E_{0} \partial_{α} (χ \partial^{α} w^{μ}) .

These are the actual regulated coordinate coefficients for this test, not the unregulated coordinates.

Displayed formulas in this passage

X-A-conv@1#eq:conformalcoordinates · line 2105
$w^{μ} = - E_{0} \partial^{μ} χ, v^{μ} = - E_{0} \partial_{α} (χ \partial^{α} w^{μ}) .$