Dynamical stability of six-dimensional warped flux compactification

We show the dynamical stability of a six-dimensional braneworld solution with warped flux compactification recently found by the authors. We consider linear perturbations around this background spacetime, assuming axisymmetry in the extra dimensions. The perturbations are expanded in scalar-, vector-, and tensor-type harmonics of the four-dimensional Minkoswki spacetime and we analyse each type separately. It is found that there is no unstable mode in any sector and that there are zero modes only in the tensor sector, corresponding to the four-dimensional gravitons. We also obtain the first few Kaluza-Klein modes in each sector.