Null Raychaudhuri equation (source code)

= Null Raychaudhuri equation
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{wiki=Raychaudhuri_equation}

For an affinely parametrized null congruence in four spacetime dimensions,
$$
\frac{d\theta}{d\lambda}
=-\frac12\theta^2
-\widehat\sigma_{ab}\widehat\sigma^{ab}
+\widehat\omega_{ab}\widehat\omega^{ab}
-R_{ab}k^ak^b.
$$