Magnetic part of the Weyl tensor (source code)

= Magnetic part of the Weyl tensor
{title2=$B_{ab}=\tfrac12\epsilon_{acde}C^{de}{}_{bf}n^cn^f$}

= Magnetic Weyl tensor
{synonym}

In four spacetime dimensions, relative to a timelike <unit normal> $n$, define $B_{ab}=\tfrac12\epsilon_{acde}C^{de}{}_{bf}n^cn^f$, with the chosen spacetime <metric volume tensor>. This is the dual tidal part of the <Weyl tensor>. Normal contractions vanish by curvature and volume-tensor antisymmetry. Its sign depends on the specified orientation and dualization convention.