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Title: UNVEILING THE UNIVERSALITY OF I-LOVE-Q RELATIONS

The recent discovery of the universal I-Love-Q relations connecting the moment of inertia, tidal deformability, and the spin-induced quadrupole moment of compact stars is intriguing and totally unexpected. In this paper, we provide numerical evidence showing that the universality can be attributed to the incompressible limit of the I-Love-Q relations. The fact that modern equations of state are stiff, with an effective adiabatic index larger than about two, above the nuclear density range is the key to establishing the universality for neutron stars and quark stars with typical compactness from about 0.1 to 0.3. On the other hand, the I-Love-Q relations of low-mass neutron stars near the minimum mass limit depend more sensitively on the underlying equation of state because these stars are composed mainly of softer matter at low densities. However, the I-Love-Q relations for low-mass quark stars can still be represented accurately by the incompressible limit. We also study the I-Love relation connecting the moment of inertia and tidal deformability analytically in Newtonian gravity and show why the I-Love-Q relation is weakly dependent on the underlying equation of state and can be attributed to its incompressible limit.
Authors:
; ;  [1] ;  [2]
  1. Department of Physics and Institute of Theoretical Physics, The Chinese University of Hong Kong, Hong Kong SAR (China)
  2. Present address: Department of Physics, University of California at San Diego, 9500 Gilman Drive, La Jolla, CA 92093, USA. (United States)
Publication Date:
OSTI Identifier:
22364603
Resource Type:
Journal Article
Resource Relation:
Journal Name: Astrophysical Journal; Journal Volume: 798; Journal Issue: 2; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; EQUATIONS OF STATE; GRAVITATION; INDEXES; MASS; MOMENT OF INERTIA; NEUTRON STARS; NEUTRONS; NUCLEAR MATTER; QUADRUPOLE MOMENTS; QUARKS; SPIN