Compact Star Matter: EoS with New Scaling Law

TL;DR

This paper discusses a new equation of state for compact stars based on effective field theory with scale and hidden-local symmetries, predicting observable gravitational wave signatures that can be tested with upcoming detectors.

Contribution

It introduces a novel EoS model incorporating topology change and symmetry principles, aligning with QCD and capable of describing 2-solar mass neutron stars.

Findings

Model predicts tidal deformability consistent with observations.

Proposes measurable gravitational wave signatures of star deformation.

Supports the use of symmetry-based EoS in astrophysical modeling.

Abstract

In this paper we present a simple discussion on the properties of compact stars using an EoS obtained in effective field theory anchored on scale and hidden-local symmetric Lagrangian endowed with topology change and a unequivocal prediction on the deformation of the compact star, that could be measured in gravitational waves. The objective is not to offer a superior or improved EoS for compact stars but to confront with a forthcoming astrophysical observable the given model formulated in what is considered to be consistent with the premise of QCD. The model so obtained is found to satisfactorily describe the observation of a 2-solar mass neutron star with a minimum number of parameters. Specifically the observable we are considering in this paper is the tidal deformability parameter (equivalently the Love number k_2), which affects gravitational wave forms at the late period of inspiral stage. The forthcoming aLIGO and aVirgo observations of gravitational waves from binary neutron star system will provide a valuable guidance for arriving at a better understanding of highly compressed baryonic matter.