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We have obtained the general form of even mode potential function for thegravitational perturbation of a static spherically symmetric spacetime.Considering the minimal-spread Gaussian matter source, parameterized by asmearing length scale {\Theta}, the associated quasinormal mode (QNM)frequencies are computed numerically using the well known WKB formula. Acomparative study on the accuracy of the results based on differentapproximation orders of the WKB formula indicates that the smearing parameter{\Theta} has an upper bound, beyond which the spectra of odd and even modesdeviate from their usual isospectral nature.

Even parity potential for spacetimes with Gaussian matter source and its associated QNM spectra