Null hypersurface

In relativity, a null surface is a 3-surface whose normal vector is everywhere null (zero length with respect to the local Lorentz metric), but the vector is not identically zero. For example, light cones are null surfaces.

An alternative characterization is that the tangent space at any point contains vectors that are all space-like except in one direction, in which vectors have a null "length". The metric applied to such a vector and any other vector in the tangent space (including the vector itself) is null. Another way of saying this is that the pullback of the metric onto the tangent space is degenerate.