Newman--Penrose scalar Psi4 (source code)

= Newman--Penrose scalar Psi4
{c}
{title2=$\Psi_4$}

For a null tetrad $(\ell,k,m,\bar m)$, one common curvature-sign convention defines $\Psi_4=C_{\mu\nu\rho\sigma}k^\mu\bar m^\nu k^\rho\bar m^\sigma$. In an outgoing wave zone it encodes the two transverse <gravitational wave polarizations> as one complex scalar.