I-Love relation for incompressible stars and realistic stars

In spite of the diversity in the equations of state of nuclear matter, the recently discovered I-Love-Q relations [Yagi and Yunes, Science {\bf 341}, 365 (2013)], which relate the moment of inertia, tidal Love number (deformability) and the spin-induced quadrupole moment of compact stars, hold for v...

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Bibliographic Details
Published in:arXiv.org 2014-11
Main Authors: Chan, T K, Chan, Atma P O, Leung, P T
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Deformation
Equations of state
Formability
Inertia
Love number
Moments of inertia
Neutron stars
Nuclear matter
Quadrupoles
Quark stars
Recursive methods
Stars
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Summary:In spite of the diversity in the equations of state of nuclear matter, the recently discovered I-Love-Q relations [Yagi and Yunes, Science {\bf 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.
ISSN:2331-8422
DOI:10.48550/arxiv.1411.7141