Fast Rotating Neutron Stars with Realistic Nuclear Matter Equation of State

Abstract

We construct equilibrium configurations of uniformly rotating neutron stars for selected relativistic mean-field nuclear matter equations of state (EOS). We compute in particular the gravitational mass ($M$), equatorial ($R_{\mathrm{eq}}$) and polar ($R_{\mathrm{pol}}$) radii, eccentricity, angular momentum ($J$), moment of inertia ($I$) and quadrupole moment ($M_2$) of neutron stars stable against mass-shedding and secular axisymmetric instability. By constructing the constant frequency sequence $f=716$ Hz of the fastest observed pulsar, PSR J1748-2446ad, and constraining it to be within the stability region, we obtain a lower mass bound for the pulsar, $M_{\min }=[1.2$-$1.4]M_{\odot }$, for the EOS employed. Moreover we give a fitting formula relating the baryonic mass ($M_b$) and gravitational mass of non-rotating neutron stars, $M_b/M_{\odot }=M/M_{\odot }+(13/200)(M/M_{\odot }{)}^2$ [or $M/M_{\odot }=M_b/M_{\odot }-(1/20)(M_b/M_{\odot }{)}^2$], which is independent on the EOS. We also obtain a fitting formula, although not EOS independent, relating the gravitational mass and the angular momentum of neutron stars along the secular axisymmetric instability line for each EOS. We compute the maximum value of the dimensionless angular momentum, $a/M\equiv cJ/(G{M}^2)$ (or "Kerr parameter"), $(a/M{)}_{\max }\approx 0.7$, found to be also independent on the EOS. We compare and contrast then the quadrupole moment of rotating neutron stars with the one predicted by the Kerr exterior solution for the same values of mass and angular momentum. Finally we show that, although the mass quadrupole moment of realistic neutron stars never reaches the Kerr value, the latter is closely approached from above at the maximum mass value, as physically expected from the no-hair theorem. In particular the stiffer the EOS is, the closer the Kerr solution is approached.

14 pages, 13 figures, Accepted for Publication in Phys. Rev. D

References in corpus (35)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• A Radio Pulsar Spinning at 716 Hz
• Rotating Stars in Relativity
• Comparing Models of Rapidly Rotating Relativistic Stars Constructed by Two Numerical Methods
• I-Love-Q Relations in Neutron Stars and their Applications to Astrophysics, Gravitational Waves and Fundamental Physics
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• I-Love-Q
• A Hydrogen Atmosphere Spectral Model Applied to the Neutron Star X7 in the Globular Cluster 47 Tucanae
• Constraints on the Symmetry Energy Using the Mass-Radius Relation of Neutron Stars
• Improved Mass and Radius Constraints for Quiescent Neutron Stars in Omega Cen and NGC 6397
• The relativistic pulsar-white dwarf binary PSR J1738+0333 I. Mass determination and evolutionary history
• Revising the multipole moments of numerical spacetimes, and its consequences
• Effective No-Hair Relations for Neutron Stars and Quark Stars: Relativistic Results
• I-Q relation for rapidly rotating neutron stars
• Breakdown of I-Love-Q universality in rapidly rotating relativistic stars
• Quadrupole moments of rotating neutron stars and strange stars
• On the Induced Gravitational Collapse of a Neutron Star to a Black Hole by a Type Ib/c Supernova
• Hypercritical Accretion, Induced Gravitational Collapse, and Binary-Driven Hypernovae
• The spin parameter of uniformly rotating compact stars
• Neutron star equilibrium configurations within a fully relativistic theory with strong, weak, electromagnetic, and gravitational interactions
• Gamma-ray Pulsar Revolution
• Neutron stars with hyperon cores: stellar radii and EOS near nuclear density
• Antikaon condensation in neutron stars
• Perturbative approach to the structure of rapidly rotating neutron stars
• Uniformly rotating neutron stars in the global and local charge neutrality cases
• Realistic Exact Solution for the Exterior Field of a Rotating Neutron Star
• Gravitational field of compact objects in general relativity
• Rotational Corrections to Neutron-Star Radius Measurements from Thermal Spectra
• Surface tension of the core-crust interface of neutron stars with global charge neutrality
• On the Magnetic Field of Pulsars with Realistic Neutron Stars Configurations
• On the relativistic precession and oscillation frequencies of test particles around rapidly rotating compact stars
• Gravitational Waves versus X and Gamma Ray Emission in a Short Gamma-Ray Burst
• Thermal evolution of neutron stars with global and local neutrality

Cited by in corpus (63)

• Observation of Gravitational Waves from the Coalescence of a $2.5\text{-}4.5M_{\odot }$ Compact Object and a Neutron Star
• Extended Gravity Description for the GW190814 Supermassive Neutron Star
• The dark matter effect on realistic equation of state in neutron stars
• Rapidly Rotating Neutron Stars in Dilatonic Einstein-Gauss-Bonnet Theory
• Equation of state constraints from nuclear physics, neutron star masses, and future moment of inertia measurements
• On the classification of GRBs and their occurrence rates
• Neutron star universal relations with microscopic equations of state
• On the induced gravitational collapse scenario of gamma-ray bursts associated with supernovae
• Effects of the equation of state on the bulk properties of maximally-rotating neutron stars
• Angular Momentum Role in the Hypercritical Accretion of Binary-Driven Hypernovae
• On the Neutron Star-Black Hole Binaries Produced by Binary-driven-Hypernovae
• The Effect of Transient Accretion on the Spin-Up of Millisecond Pulsars
• SPH simulations of the induced gravitational collapse scenario of long gamma-ray bursts associated with supernovae
• Population properties and multimessenger prospects of neutron star-black hole mergers following GWTC-3
• Rotating Neutron Stars in F(R) Gravity with Axions
• Anisotropic Quark Stars with an Interacting Quark Equation of State
• Rotating neutron stars with quark cores
• Magnetic Fields and Afterglows of BdHNe: Inferences from GRB 130427A, GRB 160509A, GRB 160625B, GRB 180728A and GRB 190114C
• On a GRB afterglow model consistent with hypernovae observations
• Spritz: a new fully general-relativistic magnetohydrodynamic code
• Moment of inertia, quadrupole moment, Love number of neutron star and their relations with strange matter equations of state
• GRB 170817A-GW170817-AT 2017gfo and the observations of NS-NS, NS-WD and WD-WD mergers
• On the last stable orbit around rapidly rotating neutron stars
• Speed of sound constraints on maximally rotating neutron stars
• Millisecond radio pulsars with known masses: parameter values and equation of state models
• Universal relations for the Keplerian sequence of rotating neutron stars
• Universal relations for compact stars with heavy baryons
• The morphology of the X-ray afterglows and of the jetted GeV emission in long GRBs
• GRB 090510: a genuine short-GRB from a binary neutron star coalescing into a Kerr-Newman black hole
• New quasi-universal relations for static and rapid rotating neutron stars
• Accessing the axion via compact object binaries
• On the rate and on the gravitational wave emission of short and long GRBs
• Evidence for a multipolar magnetic field in SGR J1745-2900 from X-ray light-curve analysis
• Constraining the Neutron Star Radius with Joint Gravitational-Wave and Short Gamma-Ray Burst Observations of Neutron Star-Black Hole Coalescing Binaries
• GRB-SN Association within the Binary-Driven Hypernova Model
• Induced Gravitational Collapse, Binary-Driven Hypernovae, Long Gramma-ray Bursts and Their Connection with Short Gamma-ray Bursts
• Global properties of rotating neutron stars with QCD equations of state
• Effects of hadron-quark phase transition on properties of Neutron Stars
• The FAST Globular Cluster Pulsar Survey (GC FANS)
• The structure of the ultrarelativistic prompt emission phase and the properties of the black hole in GRB 180720B
• Evidence for the transition of a Jacobi ellipsoid into a Maclaurin spheroid in gamma-ray bursts
• GRB 171205A: Hypernova and Newborn Neutron Star
• Fully general relativistic simulations of rapidly rotating quark stars: Oscillation modes and universal relations
• The first minutes of a binary-driven hypernova
• Detection of a large Be circumstellar disk during X-ray quiescence of XTE J1946+274
• Mixed neutron-star-plus-wormhole systems: Rotating configurations
• A key factor to the spin parameter of uniformly rotating compact stars: crust structure
• Investigating magnetically-induced distortions of neutron stars through gamma-ray burst X-ray plateaus
• Rotating Neutron Stars with the Relativistic Ab Initio Calculations
• Properties of Rotating Neutron Star in Density-dependent Relativistic Mean-field Models
• Fastest spinning millisecond pulsars: indicators for quark matter in neutron stars?
• I-C-Q relations for rapidly rotating stable hybrid stars
• Matching slowly rotating spacetimes split by dynamic thin shells
• Spin precession and neutrino helicity flip in various spacetimes
• Neutron star binaries produced by binary-driven hypernovae, their mergers, and the link between long and short GRBs
• Rapidly rotating Dirac stars
• Innermost stable circular orbits of neutron stars in dilatonic-Einstein-Gauss-Bonnet theory
• Inferring jet physics from neutron star - black hole mergers with gravitational waves
• Effect of symmetry energy on properties of rapidly rotating neutron stars and universal relations
• Rapidly Spinning Massive Pulsars as an Indicator of Quark Deconfinement
• Uniformly rotating neutron stars
• From pQCD to neutron stars: matching equations of state to constrain global star properties
• Equation-of-State Independent Relations in Rapidly Rotating Hybrid Stars