Manuscript XI-C@1 · XI-C.tex · section · acec1422

Definition on unrestricted smooth configurations

The retarded tree and its output symbol › Definition on unrestricted smooth configurations · lines 631–648

XI-C@1#eq:metricresponse

Put

S [ϕ] = \frac{1}{2} g T_{0} [ϕ], r_{g} [ϕ] = G_{gr}^{R} S [ϕ] = - \frac{1}{2} P E_{0}^{R} (g T_{0} [ϕ]) .

The source is smooth and compact for every smooth $ϕ$ . The intermediate tensor is an actual zero-data sourced solution:

- □ P r_{g} = S [ϕ] .

It is not a homogeneous free graviton class. Its auxiliary response is $b_{g} = D r_{g}$ , not an imposed zero.

Displayed formulas in this passage

XI-C@1#eq:metricresponse · line 634
$S [ϕ] = \frac{1}{2} g T_{0} [ϕ], r_{g} [ϕ] = G_{gr}^{R} S [ϕ] = - \frac{1}{2} P E_{0}^{R} (g T_{0} [ϕ]) .$
unlabeled · line 643
$- □ P r_{g} = S [ϕ] .$