Multipolar universal relations between f -mode frequency and tidal deformability of compact stars
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AbstractThough individual stellar parameters of compact stars usually demonstrate obvious dependence on the equation of state (EOS), EOS-insensitive universal formulas relating these parameters remarkably exist. In the present paper, we explore the interrelationship between two such formulas, namely the f-I relation connecting the f-mode quadrupole oscillation frequency ω2 and the moment of inertia I, and the I-Love-Q relations relating I, the quadrupole tidal deformability λ2, and the quadrupole moment Q, which have been proposed by Lau, Leung, and Lin [Astrophys. J. 714, 1234 (2010)] and Yagi and Yunes [Science 341, 365 (2013)], respectively. A relativistic universal relation between ωl and λl with the same angular momentum l=2,3,..., the so-called "diagonal f-Love relation" that holds for realistic compact stars and stiff polytropic stars, is unveiled here. An in-depth investigation in the Newtonian limit is further carried out to pinpoint its underlying physical mechanism and hence leads to a unified f-I-Love relation. We reach the conclusion that these EOS-insensitive formulas stem from a common physical origin - compact stars can be considered as quasiincompressible when they react to slow time variations introduced by f-mode oscillations, tidal forces and rotations.
All Author(s) ListChan T.K., Sham Y.-H., Leung P.T., Lin L.-M.
Journal namePhysical Review D - Particles, Fields, Gravitation and Cosmology
Year2014
Month12
Day5
Volume Number90
Issue Number12
PublisherAmerican Physical Society
Place of PublicationUnited States
ISSN1550-7998
eISSN1550-2368
LanguagesEnglish-United Kingdom

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