Manuscript V-B@1 · V-B-v1.tex · section · 3fadc1ad

Admissibility on the declared solution spaces

Admissibility on the declared solution spaces · lines 560–575

A smooth field on $M$ is spacelike compact if its support is contained in $J_{η} (C)$ for some compact $C$ . Define

S = {h \in C_{sc}^{\infty} : G^{(1)} (h) = 0}, S_{dD} = {h \in S : D h = 0},

and

E = {J \in C_{c}^{\infty} (S^{2} T M; R) : \partial_{μ} J^{μν} = 0} .

Displayed formulas in this passage

unlabeled · line 566
$S = {h \in C_{sc}^{\infty} : G^{(1)} (h) = 0}, S_{dD} = {h \in S : D h = 0},$
unlabeled · line 571
$E = {J \in C_{c}^{\infty} (S^{2} T M; R) : \partial_{μ} J^{μν} = 0} .$