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A numerical method of mode analysis of rapidly rotating relativistic stellarmodels by the Cowling approximation is applied to rotating neutron stars withrealistic equations of state. For selected equations of state, eigenvalues andeigenfunctions of f-modes are numerically solved for stellar models fromnon-rotating to maximally rotating states. Neutral points of the lower orderf-modes are determined as a function of the stellar rotational frequency. As inthe polytropic case, we find that the bar mode can have neutral points formodels with relatively strong gravity. The rotational frequency at the neutralpoint increases as the gravitational mass of the model becomes larger. Asastrophysical applications of our analysis, we discuss the time scales ofgravitational radiation induced instability and the possibility of the resonantexcitation of f-modes during inspiraling motion of compact binary systems.Comment: 13 pages, 19 figures; 5 new figures are supplemented and some are  re-drawn. Accepted for publication in Ap

A Numerical Study of Normal Modes of Rotating Neutron Star Models by the Cowling Approximation