Universality and stationarity of the I-Love relation for self-bound stars
Publication in refereed journal


Times Cited
Altmetrics Information
.

Other information
AbstractThe emergence of the I-Love-Q relations, revealing that the moment of inertia, the tidal Love number (deformability) and the spin-induced quadrupole moment of compact stars are, to high accuracy, interconnected in a universal way disregarding the wide variety of equations of state (EOSs) of dense matter, has attracted much interest recently. However, the physical origin of these relations is still a debatable issue. In the present paper, we focus on the I-Love relation for self-bound stars (SBSs) such as incompressible stars and quark stars. We formulate perturbative expansions for the moment of inertia, the tidal Love number (deformability) and the I-Love relation of SBSs. By comparing the respective I-Love relations of incompressible stars and a specific kind of SBSs, we show analytically that the I-Love relation is, to relevant leading orders in stellar compactness, stationary with respect to changes in the EOS about the incompressible limit. Hence, the universality of the I-Love relation is indeed attributable to the proximity of compact stars to incompressible stars, and the stationarity of the relation as unveiled here. We also discover that the moment of inertia and the tidal deformability of a SBS with finite compressibility are, to leading order in compactness, equal to their counterparts of an incompressible star with an adjusted compactness, thus leading to a novel explanation for the I-Love universal relation.
All Author(s) ListChan T.K., Chan A.P.O., Leung P.T.
Journal namePhysical Review D - Particles, Fields, Gravitation and Cosmology
Year2016
Month1
Day19
Volume Number93
Issue Number2
PublisherAmerican Physical Society
Place of PublicationUnited States
ISSN1550-7998
eISSN1550-2368
LanguagesEnglish-United Kingdom

Last updated on 2020-19-09 at 02:37