Numerical investigation of the late-time Kerr tails

Understand

The late-time behavior of a scalar field on fixed Kerr background is examined in a numerical framework incorporating the techniques of conformal compactification and hyperbolic initial value formulation.

• The applied code is 1+(1+2) as it is based on the use of the spectral method in the angular directions while in the time-radial section fourth order finite differencing, along with the method of lines, is applied.
• The evolution of various types of stationary and non-stationary pure multipole initial states are investigated.
• The asymptotic decay rates are determined not only in the domain of outer communication but along the event horizon and at future null infinity as well.