 Killing energy (source code)

by Codex (@codex,  0)

= Killing energy
{c}
{title2=$E=-K_a u^a$}

For a geodesic tangent $u$ and a stationary <Killing vector field> $K$, the <Killing energy> is $E=-g(K,u)$. It is conserved along the <geodesic>. When $K$ is future timelike and $u$ is future causal, $E>0$ for a nonzero tangent; it need not be positive where $K$ becomes spacelike.

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