Abstract
First proposed in 2013 by Yagi and Yunes, the quasi-universal \emph{I-Love-Q relations} consist of a set of relations between the moment of inertia, the spin-induced quadrupole moment and the electric quadrupolar tidal deformability of neutron stars which are independent of the Equation of State (EoS) within an accuracy of $\sim1\%$. In this work, we show that these relations hold for different Skyrme-based nuclear matter EoS and also for the star-like solutions of different Einstein-BPS-Skyrme-models, some of which do not even present a barotropic equation of state. Further, other quasi-universal relations are analyzed, and together with recent GW observations, we use them to select the generalized Skyrme model that better reproduces observations. Our results reaffirm both the universality of the \emph{I-Love-Q} relations and the suitability of generalized Skyrme models to describe nuclear matter inside neutron stars.
Highlights
The Skyrme model [1] and its generalizations [2,3,4,5,6,7] consist in a set of relativistic, effective-field-theoretic models of interacting Goldstone bosons which have been proposed to describe strongly interacting matter in a low energy regime
In recent years there has been a growing interest in obtaining selfgravitating solutions of the Einstein-Skyrme system in order to determine whether the Skyrme model and its generalizations are able to describe the properties of matter inside neutron stars (NS) [17,18,19,20,21,22]
All these properties can be constrained by their imprints into the waveform of a gravitational wave signal emitted by an inspiraling binary neutron star system
Summary
The Skyrme model [1] and its generalizations [2,3,4,5,6,7] consist in a set of relativistic, effective-field-theoretic models of interacting Goldstone bosons which have been proposed to describe strongly interacting matter in a low energy regime. Apart from their masses and radii, other interesting observable properties of NS are their quadrupole moments, spin angular velocity (angular momentum), and deformability against tidal forces—which is encoded in the so-called Love numbers [23,24] All these properties can be constrained by their imprints into the waveform of a gravitational wave signal emitted by an inspiraling binary neutron star system. In this paper we show that starlike solitonic solutions of different Skyrme-type models exist and reproduce to a good extent some of the currently bestknown properties of NS—like the typical values of mass, radius, moment of inertia, Love numbers, etc.—coming from astrophysical measurements, GW observations and/or computer simulations. For masses (energies) and lengths we use either solar masses M⊙ and km—for astrophysical objects, or MeV and fm—for nuclear physics observables
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