Kerr spacetime

We briefly consider the Kerr spacetime, which is known analytically. The Kerr spacetime is studied in a coordinate system like that used for the studies of distorted Schwarzschild black holes. We have taken the analytic Kerr metric in these coordinates, with a rotation parameter a/m=0.68, to study our EH finders for rotating spacetimes where the EH location is known analytically. We can show the maximum coordinate separation between three test surfaces and the analytically known horizon versus time. Again, we see an exponential convergence of the surfaces to the exact location, as expected. This is a confirmation both of our numerical implementation and of the physical convergence discussed above.

In the next few sections, I will deal with its mathematical Applications.