Manuscript I-B-G@2 · I-B-G-v2.tex · section · 3b4d700f

Distance and the causal relation

The prescribed host and its causal geometry › Distance and the causal relation · lines 264–277

I-B-G@2#eq:R0

For $x = (r, φ, z)$ and $x^{'} = (r^{'}, φ^{'}, z^{'})$ , let

ψ \in (- π α, π α]

represent $α (φ - φ^{'})$ modulo $2 π α$ , and write $Δ z = z - z^{'}$ . Define

R_{0} (x, x^{'})^{2} = r^{2} + r^{'2} - 2 r r^{'} cos ψ + Δ z^{2} .

Displayed formulas in this passage

I-B-G@2#eq:R0 · line 272
$R_{0} (x, x^{'})^{2} = r^{2} + r^{'2} - 2 r r^{'} cos ψ + Δ z^{2} .$
unlabeled · line 267
$ψ \in (- π α, π α]$