Is there a way for calculating the Killing vector fields of a given metric in a quick way?
Sure I can guess looking at the metric at the symmetries, and then guess some of them, but, for instance, in 4D cases calculating the Killing vector fields can be pretty cumbersome, especially if the metric isn't diagonal.
I made a way to find explicitly Killing equations with Mathematica, but any further solving by it is kinda pointless :\
Or do I need to do it by hand? :\