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We relate the fundamental quadrupolar fluid mode of isolated non-rotating NSsand the dominant oscillation frequency of neutron star merger remnants. Bothfrequencies individually are known to correlate with certain stellar parameterslike radii or the tidal deformability, which we further investigate byconstructing fit formulae and quantifying the scatter of the data points fromthose relations. Furthermore, we compare how individual data points deviatefrom the corresponding fit to all data points. Considering this point-to-pointscatter we uncover a striking similarity between the frequency deviations ofperturbative data for isolated NSs and of oscillation frequencies of rapidlyrotating, hot, massive merger remnants. The correspondence of frequencydeviations in these very different stellar systems points to an underlyingmechanism and EoS information being encoded in the frequency deviation. Wetrace the frequency scatter back to deviations of the tidal Love number from anaverage tidal Love number for a given stellar compactness. Our results thusindicate a possibility to break the degeneracy between NS radii, tidaldeformability and tidal Love number. We also relate frequency deviations to thederivative of the tidal deformability with respect to mass. Our findingsgenerally highlight a possibility to improve GW asteroseismology relationswhere the systematic behavior of frequency deviations is employed to reduce thescatter in such relationships and consequently increase the measurementaccuracy. In addition, we relate the f-mode frequency of static stars and thedominant GW frequency of merger remnants. We find an analytic mapping toconnect the masses of both stellar systems, which yields particularly accuratemass-independent relations between both frequencies and between the postmergerfrequency and the tidal deformability.

Frequency deviations in universal relations of isolated neutron stars and postmerger remnants