Correlation between the curvature and some properties of the neutron star

Abstract

According to the general theory of relativity, a massive body induces curvature in the surrounding spacetime. In this study, the surface curvature (SC) of neutron stars is computed using various curvature quantities derived from the relativistic mean-field, density-dependent RMF, and Skyrme-Hartree-Fock equations of states. Neutron star properties, including mass, radius, compactness, and central density, are calculated utilizing the Tolman-Oppenheimer-Volkoff equations. The analysis reveals a significant cubic correlation between the SC and compactness for the canonical 1.4 $M_{\odot }$ neutron star, with a correlation coefficient of 0.99, indicating an almost linear relationship. A similarly significant inverse cubic correlation is observed between the SC and the radius of the canonical star. However, these correlations diminish for the maximum mass NS. Furthermore, a universal relation between the SC and the dimensionless tidal deformability ($\Lambda$) for the canonical neutron star is established. Using the tidal deformability constraint of GW170817 (${\Lambda }_{1.4}=190_{-120}^{+390}$), the surface curvature is limited to SC${}_{1.4}(10^{14})=2.87_{-0.78}^{+0.30}$ at a confidence level 90\%. Furthermore, the tidal deformability constraint of the secondary component in the GW190814 event (${\Lambda }_{1.4}=616_{-158}^{+273}$) offers a more stringent limit, with the result of SC${}_{1.4}(10^{14})=2.03_{-0.36}^{+0.27}$. These findings indicate that the GW190814 event imposes more rigorous constraints on SC compared to GW170817.

arXiv comment16 pages, 5 figures, Published in IJMPE

References in corpus (79)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• GW170817: Measurements of Neutron Star Radii and Equation of State
• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• PSR J0030+0451 Mass and Radius from NICER Data and Implications for the Properties of Neutron Star Matter
• A NICER View of PSR J0030+0451: Millisecond Pulsar Parameter Estimation
• Relativistic Shapiro delay measurements of an extremely massive millisecond pulsar
• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• The Physics of Neutron Stars
• Tidal Love numbers of neutron stars
• Tidal deformability of neutron stars with realistic equations of state and their gravitational wave signatures in binary inspiral
• Gravitational-wave constraints on the neutron-star-matter Equation of State
• The Equation of State from Observed Masses and Radii of Neutron Stars
• Neutron-Rich Nuclei in Heaven and Earth
• New constraints on radii and tidal deformabilities of neutron stars from GW170817
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XII: Stiffness and stability of neutron-star matter
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• Neutron skins and neutron stars in the multi-messenger era
• New effective interactions in RMF theory with non-linear terms and density-dependent meson-nucleon coupling
• Stringent constraints on neutron-star radii from multimessenger observations and nuclear theory
• The effective force NL3 revisited
• Constraints on neutron star radii based on chiral effective field theory interactions
• Relativistic Hartree-Bogoliubov model with density-dependent meson-nucleon couplings
• A Chiral Effective Lagrangian for Nuclei
• Probes and Tests of Strong-Field Gravity with Observations in the Electromagnetic Spectrum
• Relativistic effective interaction for nuclei, giant resonances, and neutron stars
• Neutron star radii and crusts: uncertainties and unified equations of state
• A critical examination of constraints on the equation of state of dense matter obtained from GW170817
• Symmetry Energy II: Isobaric Analog States
• Low Mass Neutron Stars and the Equation of State of Dense Matter
• Building relativistic mean field models for finite nuclei and neutron stars
• A NICER view of PSR J0030+0451: Implications for the dense matter equation of state
• GW170817: constraining the nuclear matter equation of state from the neutron star tidal deformability
• The neutron radii of Lead and neutron stars
• Determination of the parameters of a Skyrme type effective interaction using the simulated annealing approach
• New Hyperon Equations of State for Supernovae and Neutron Stars in Density-dependent Hadron Field Theory
• First Order Kaon Condensate
• GW190814: Impact of a 2.6 solar mass neutron star on nucleonic equations of state
• Neutron star tidal deformabilities constrained by nuclear theory and experiment
• Dark Matter Effects On Neutron Star Properties
• Searching for isovector signatures in the neutron-rich oxygen and calcium isotopes
• Kaon Condensation and Dynamical Nucleons in Neutron Stars
• Dark-Matter Admixed Neutron Stars
• Constraining the Neutron Star Mass-Radius Relation and Dense Matter Equation of State with NICER. II. Emission from Hot Spots on a Rapidly Rotating Neutron Star
• Combined Constraints on the Equation of State of Dense Neutron-Rich Matter from Terrestrial Experiments and Observations of Neutron Stars
• Unified equation of state for neutron stars on a microscopic basis
• Have neutron stars a dark matter core?
• A NICER view of PSR J0030+0451: evidence for a global-scale multipolar magnetic field
• Neutron Star Equation of State in light of GW190814
• Measurement of the Gravity-Field Curvature by Atom Interferometry
• The dark matter effect on realistic equation of state in neutron stars
• Too massive neutron stars: The role of dark matter?
• Equation of State for Nucleonic and Hyperonic Neutron Stars with Mass and Radius Constraints
• Effects of dark matter on the nuclear and neutron star matter
• New relativistic effective interaction for finite nuclei, infinite nuclear matter and neutron stars
• GW190814's secondary component with mass $(2.50-2.67)$ M${}_{\odot }$ as a super-fast pulsar
• Strong correlations of neutron star radii with the slopes of nuclear matter incompressibility and symmetry energy at saturation
• Dark matter admixed neutron star as a possible compact component in the GW190814 merger event
• Confronting nuclear equation of state in the presence of dark matter using GW170817 observation in relativistic mean field theory approach
• Neutron skins and neutron stars
• The possibility of the secondary object in GW190814 as a neutron star
• NICER X-ray Observations of Seven Nearby Rotation-Powered Millisecond Pulsars
• Tidal deformability of neutron and hyperon star with relativistic mean field equations of state
• Cooling of Dark-Matter Admixed Neutron Stars with density-dependent Equation of State
• Impacts of dark matter on the curvature of the neutron star
• Relativistic models of the neutron-star matter equation of state
• Curvature-slope correlation of nuclear symmetry energy and its imprints on the crust-core transition, radius and tidal deformability of canonical neutron stars
• Surface Tension between Kaon Condensate and Normal Nuclear Matter Phase
• What does a measurement of mass and/or radius of a neutron star constrain: Equation of state or gravity?
• Impact of the equation-of-state -- gravity degeneracy on constraining the nuclear symmetry energy from astrophysical observables
• Sensitivity of elements of the symmetry energy of nuclear matter to the properties of neutron-rich systems
• The Radius of PSR J0740+6620 from NICER and XMM-Newton Data
• Phase Transitions in Neutron Stars
• Role of higher order couplings in the presence of kaons in relativistic mean field description of neutron stars
• From strangelets to strange stars: A unified description
• Effect of Inner Crust EoS on Neutron star properties
• BigApple force and its implications to finite nuclei and astrophysical objects
• Pasta phases in neutron star studied with extended relativistic mean field models

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