5 Simple Applications

In this section we give four simple examples of the use of shear-free and asymptotically shear-free NGCs in GR. The first is for asymptotically-linearized perturbations off the Schwarzschild metric, while the next two are from the class of algebraically-special metrics, namely the Robinson–Trautman metric and the type II twisting metrics; the fourth is for asymptotically static/stationary metrics.

 5.1 Linearized off Schwarzschild
 5.2 The Robinson–Trautman metrics
 5.3 Type II twisting metrics
 5.4 Asymptotically static and stationary spacetimes

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