Completion of the universal I-Love-Q relations in compact stars including the mass

Abstract

In a recent paper we applied a rigorous perturbed matching framework to show the amendment of the mass of rotating stars in Hartle's model. Here, we apply this framework to the tidal problem in binary systems. Our approach fully accounts for the correction to the Love numbers needed to obtain the universal $I$-Love-$Q$ relations. We compute the corrected mass vs radius configurations of rotating quark stars, revisiting a classical paper on the subject. These corrections allow us to find a universal relation involving the second-order contribution to the mass $\delta M$. We thus complete the set of universal relations for the tidal problem in binary systems, involving four perturbation parameters, namely $I$, Love, $Q$, and $\delta M$. These relations can be used to obtain the perturbation parameters directly from observational data.

arXiv comment6 pages, 2 figures. Accepted for publication in MNRAS

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Cited by in corpus (9)

• Interpreting Binary Neutron Star Mergers: Describing the Binary Neutron Star Dynamics, Modelling Gravitational Waveforms, and Analyzing Detections
• Epicyclic oscillations in the Hartle-Thorne external geometry
• Quasi-universal relations for generalized Skyrme stars
• A revised formalism for slowly-rotating superfluid neutron stars in general relativity
• Compact star deformation and universal relationship for magnetized white dwarfs
• Accretion tori around rotating neutron stars I: Structure, shape and size
• Review on the matching conditions for the tidal problem: towards the application to more general contexts
• Accretion tori around rotating neutron stars II: Oscillations and precessions
• Rotation-dependent $I$-Love-$Q$-$\delta M$ relations in perturbation theory