R-modes are the non radial oscillation where the Coriolis force acts as a restoring force.R-modes are driven unstable by the gravitational wave radiation(CFS instability) in rapidly rotating neutron star. CFS instability happens when the oscillating modes are traveling in one direction as observed in rotating frame and in opposite direction in an inertial frame. R-modes frequencies depends on compactness parameter(M/R) of star which gives its range from 1.39 -1.57 times the spin frequency.
R-modes detection will help us to understand the interior of neutron star which is opaque in electromagnetic waves.