Null condition (source code)

= Null condition
{title2=$g(k,k)=0$}

The null condition for a nonzero vector $k$ in a <Lorentzian metric> is $g(k,k)=0$. Applied to the tangent of a curve it makes the curve a <null curve>. Nullity alone does not imply the <geodesic equation>; an additional zero or tangent-parallel covariant acceleration is required.