I-Love relations for incompressible stars and realistic stars
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AbstractIn spite of the diversity in the equations of state of nuclear matter, the recently discovered I-Love-Q relations [Yagi and Yunes, Science 341, 365 (2013)], which relate the moment of inertia, tidal Love number (deformability), and the spin-induced quadrupole moment of compact stars, hold for various kinds of realistic neutron stars and quark stars. While the physical origin of such universality is still a current issue, the observation that the I-Love-Q relations of incompressible stars can well approximate those of realistic compact stars hints at a new direction to approach the problem. In this paper, by establishing recursive post-Minkowskian expansion for the moment of inertia and the tidal deformability of incompressible stars, we analytically derive the I-Love relation for incompressible stars and show that the so-obtained formula can be used to accurately predict the behavior of realistic compact stars from the Newtonian limit to the maximum mass limit.
All Author(s) ListChan TK, Chan APO, Leung PT
Journal namePhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume Number91
Issue Number4
PublisherAmerican Physical Society
LanguagesEnglish-United Kingdom
Web of Science Subject CategoriesAstronomy & Astrophysics; Physics; Physics, Particles & Fields

Last updated on 2020-16-09 at 00:27