Manuscript VII-A-ST@1 · VII-A-ST.tex · definition · c39a67a3

Definition: Plateau coupling jet

The named plateau Einstein–scalar coupling jet · lines 1129–1145

VII-A-ST@1#def:jet, VII-A-ST@1#eq:metric-equations

Let $J_{g}^{2}$ consist of smooth tuples

(h, k, ϕ_{0}, u_{1, g}, u_{2, g})

with $P_{m} ϕ_{0} = 0$ , the scalar assignment (eq:scalar-coeff), and

G^{(1)} [h] = 0, G^{(1)} [k] + G^{(2)} [h, h] = T^{(0)} [ϕ_{0}] .

No zero-data condition is imposed on $h$ or $k$ . Their gravitational constraints are not replaced by zero-data wave evolution.

Displayed formulas in this passage

VII-A-ST@1#eq:metric-equations · line 1137
$G^{(1)} [h] = 0, G^{(1)} [k] + G^{(2)} [h, h] = T^{(0)} [ϕ_{0}] .$
unlabeled · line 1132
$(h, k, ϕ_{0}, u_{1, g}, u_{2, g})$