Manuscript VII-J@1 · VII-J.tex · section · d8c01b04

A spatially varying causal benchmark

A spatially varying causal benchmark · lines 980–995

Choose $c_{0} > 0$ and $0 \leq t \leq T$ . In one spatial dimension let

K_{Phys} (t) = [- \frac{c _{0}}{1 + t}, \frac{c _{0}}{1 + t}] .

This is also the coordinate causal velocity set of the regular metric

d s^{2} = - \frac{c _{0} ^{2}}{( 1 + t ) ^{2}} d t^{2} + d x^{2} .

Displayed formulas in this passage

unlabeled · line 985
$K_{Phys} (t) = [- \frac{c _{0}}{1 + t}, \frac{c _{0}}{1 + t}] .$
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$d s^{2} = - \frac{c _{0} ^{2}}{( 1 + t ) ^{2}} d t^{2} + d x^{2} .$