Manuscript XX-A@1 · XX-A.tex · definition · 3a586110

Definition: Frozen original rods

Original slice-harmonic rods › Rod equation and spatial boundary condition · lines 461–478

XX-A@1#def:original-rods, XX-A@1#eq:rod-exact

On each clock slice, the original rods satisfy

\partial_{i} (det γ_{s} γ_{s}^{ij} \partial_{j} R_{s}^{a}) = 0, a = 1, 2, 3,

with

R_{s}^{a} (τ, x) - x^{a} ⟶ 0 as ∣ x ∣ ⟶ \infty.

The condition is imposed coefficientwise through $s^{2}$ . There is no lapse weight in (eq:rod-exact).

Displayed formulas in this passage

XX-A@1#eq:rod-exact · line 464
$\partial_{i} (det γ_{s} γ_{s}^{ij} \partial_{j} R_{s}^{a}) = 0, a = 1, 2, 3,$
unlabeled · line 472
$R_{s}^{a} (τ, x) - x^{a} ⟶ 0 as ∣ x ∣ ⟶ \infty.$