Abstract
Recently, it has been reported that a candidate for a quark star may have been observed. In this article, we consider quark stars with radiation radii in the reported range. We calculate nonradial oscillations of f, w, and ${w}_{\mathrm{II}}$ modes. We find that the dependence of the f mode quasinormal frequency on the bag constant and stellar radiation radius is very strong and different from that of the lowest ${w}_{\mathrm{II}}$ mode quasinormal frequency. Furthermore we deduce a new empirical formula between the f mode frequency of gravitational waves and the parameter of the equation of state for quark stars. The observation of gravitational waves both of the f mode and of the lowest ${w}_{\mathrm{II}}$ mode would provide a powerful probe for the equation of state of quark matter and the properties of quark stars.
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