New quasi-universal relations for static and rapid rotating neutron stars

Abstract

In the last few decades, lots of universal relations between different global physical quantities of neutron stars have been proposed to constrain the unobservable or hard to be observed properties of neutron stars. But few of them are related to the gravitational redshift or the gravitational binding energy, especially for the fast rotating neutron stars. Here we will focus on the universal relations related to these two quantities. Based on 11 equations of state (EOSs) from the predictions of microscopic nuclear many-body theories for normal or hybrid neutron stars, we proposed a set of new quasi-universal relations under three rotating cases: static, general rotating and Keplerian rotating. These new quasi-universal relations provide a potential way to constrain or estimate the unobservable or hard to be observed properties of neutron stars.

13 pages, 8 figures

References in corpus (12)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• A NICER View of PSR J0030+0451: Millisecond Pulsar Parameter Estimation
• Neutron Star Observations: Prognosis for Equation of State Constraints
• Towards Understanding Astrophysical Effects of Nuclear Symmetry Energy
• Inferring neutron star properties from GW170817 with universal relations
• GW170817 implications on the frequency and damping time of f-mode oscillations of neutron stars
• Universal relations for differentially rotating relativistic stars at the threshold to collapse
• Imprints of the nuclear symmetry energy on gravitational waves from the axial w-modes of neutron stars
• Universal relations for the Keplerian sequence of rotating neutron stars
• The role of binding energies of neutron stars on the accretion driven evolution
• Parameters of rotating neutron stars with and without hyperons
• Universal behavior of compact star based upon gravitational binding energy

Cited by in corpus (10)

• Modelling a $2.5M_{\odot }$ Compact Star with Quark Matter
• Universal relations for compact stars with heavy baryons
• The I-Love-Q Relations for Superfluid Neutron Stars
• Universal relations for rotating Boson Stars
• Implications of supermassive neutron stars for the form of the equation of state of hybrid stars
• I-C-Q relations for rapidly rotating stable hybrid stars
• Effect of symmetry energy on properties of rapidly rotating neutron stars and universal relations
• Anisotropic pressure effect on central EOS of PSR J0740+6620 in the light of dimensionless TOV equation
• Equation-of-State Independent Relations in Rapidly Rotating Hybrid Stars
• Universal relation between dipole polarizability of finite nuclei and neutron-star compactness