Publikace ÚTF

In order to find the perturbation of a Schwarzschild space-time due to a rotating thin
disc, we try to adjust the method used by [4] in the case of perturbation by a one-dimensional
ring. This involves solution of stationary axisymmetric Einstein’s equations in terms of sphericalharmonic
expansions whose convergence however turned out questionable in numerical examples.
Here we show, analytically, that the series are almost everywhere convergent, but in some regions
the convergence is not absolute.