I-Love-Q to the extreme
arXiv:1710.00919 · doi:10.1088/1361-6382/aa995a
Abstract
Certain bulk properties of neutron stars, in particular their moment of inertia, rotational quadrupole moment and tidal Love number, when properly normalized, are related to one another in a nearly equation of state independent way. The goal of this paper is to test these relations with extreme equations of state at supranuclear densities constrained to satisfy only a handful of generic, physically sensible conditions. By requiring that the equation of state be (i) barotropic and (ii) its associated speed of sound be real, we construct a piecewise function that matches a tabulated equation of state at low densities, while matching a stiff equation of state parametrized by its sound speed in the high-density region. We show that the I-Love-Q relations hold to 1 percent with this class of equations of state, even in the extreme case where the speed of sound becomes superluminal and independently of the transition density. We also find further support for the interpretation of the I-Love-Q relations as an emergent symmetry due to the nearly constant eccentricity of isodensity contours inside the star. These results reinforce the robustness of the I-Love-Q relations against our current incomplete picture of physics at supranuclear densities, while strengthening our confidence in the applicability of these relations in neutron star astrophysics.
arXiv comment18 pages, 7 figures
References in corpus (71)
- Modified Gravity and Cosmology
- Shapiro delay measurement of a two solar mass neutron star
- A Massive Pulsar in a Compact Relativistic Binary
- Testing General Relativity with Present and Future Astrophysical Observations
- Masses, Radii, and Equation of State of Neutron Stars
- A unified equation of state of dense matter and neutron star structure
- Constraining neutron star tidal Love numbers with gravitational wave detectors
- Tidal deformability of neutron stars with realistic equations of state and their gravitational wave signatures in binary inspiral
- An increased estimate of the merger rate of double neutron stars from observations of a highly relativistic system
- The Nuclear Equation of State and Neutron Star Masses
- A Double-Pulsar System - A Rare Laboratory for Relativistic Gravity and Plasma Physics
- A Radio Pulsar Spinning at 716 Hz
- Relativistic theory of tidal Love numbers
- Theoretical Black Hole Mass Distributions
- Towards gravitational-wave asteroseismology
- 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 Theory and the High-Density Nuclear Equation of State
- I-Love-Q
- Gravitational Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing Arrays
- Measurability of the tidal polarizability of neutron stars in late-inspiral gravitational-wave signals
- Measuring the neutron star equation of state using X-ray timing
- Tidal Love Numbers of Neutron and Self-Bound Quark Stars
- Constraining the Equation of State with Moment of Inertia Measurements
- The Maximum Mass of a Neutron Star
- Measuring the neutron star equation of state with gravitational wave observations
- Approximate Universal Relations for Neutron Stars and Quark Stars
- Post-1-Newtonian tidal effects in the gravitational waveform from binary inspirals
- Sound velocity bound and neutron stars
- Matter effects on binary neutron star waveforms
- Analytical representations of unified equations of state for neutron-star matter
- Gravitational waves and pulsating stars: What can we learn from future observations?
- Pulsar J0453+1559: A Double Neutron Star System with a Large Mass Asymmetry
- Demonstrating the feasibility of probing the neutron star equation of state with second-generation gravitational wave detectors
- Evidence for a maximum mass cut-off in the neutron star mass distribution and constraints on the equation of state
- Rotating Stars in Relativity
- Moments of inertia for neutron and strange stars: limits derived for the Crab pulsar
- A Post-Newtonian diagnostic of quasi-equilibrium binary configurations of compact objects
- eXTP -- enhanced X-ray Timing and Polarimetry Mission
- Compact stars in alternative theories of gravity. Einstein-Dilaton-Gauss-Bonnet gravity
- The Oblate Schwarzschild Approximation for Light Curves of Rapidly Rotating Neutron Stars
- Upper Limit Set by Causality on the Rotation and Mass of Uniformly Rotating Relativistic Stars
- Extracting equation of state parameters from black hole-neutron star mergers: aligned-spin black holes and a preliminary waveform model
- Effective No-Hair Relations for Neutron Stars and Quark Stars: Relativistic Results
- Effectively universal behavior of rotating neutron stars in general relativity makes them even simpler than their Newtonian counterparts
- I-Q relation for rapidly rotating neutron stars
- Light Curves for Rapidly-Rotating Neutron Stars
- Breakdown of I-Love-Q universality in rapidly rotating relativistic stars
- On the universality of I-Love-Q relations in magnetized neutron stars
- Binary Neutron Stars with Generic Spin, Eccentricity, Mass ratio, and Compactness - Quasi-equilibrium Sequences and First Evolutions
- Prospects for Measuring Neutron-Star Masses and Radii with X-Ray Pulse Profile Modeling
- Neutron Star Radii, Universal Relations, and the Role of Prior Distributions
- The millisecond pulsar mass distribution: Evidence for bimodality and constraints on the maximum neutron star mass
- Observational Constraints on Neutron Star Masses and Radii
- Relations Between Neutron-Star Parameters in the Hartle-Thorne Approximation
- Pulse Profiles from Spinning Neutron Stars in the Hartle-Thorne Approximation
- Why I-Love-Q
- Constraints on the dense matter EOS from the measurements of PSR J0737-3039A moment of inertia and PSR J0751+1807 mass
- Bounds on the speed of sound in dense matter, and neutron star structure
- Three-Hair Relations for Rotating Stars: Nonrelativistic Limit
- Perturbative approach to the structure of rapidly rotating neutron stars
- On the maximum mass limit of neutron stars in scalar-tensor gravity
- Low-mass neutron stars: universal relations, the nuclear symmetry energy and gravitational radiation
- Pulse Shapes From Rapidly-Rotating Neutron Stars: Equatorial Photon Orbits
- Post-Tolman-Oppenheimer-Volkoff formalism for relativistic stars
- A post-Newtonian diagnosis of quasiequilibrium configurations of neutron star-neutron star and neutron star-black hole binaries
- Upper limit set by causality on the tidal deformability of a neutron star
- Model-Independent Inference of Neutron Star Radii from Moment of Inertia Measurements
- Astrophysical applications of the post-Tolman-Oppenheimer-Volkoff formalism
- Bounds on Neutron-Star Moments of Inertia and the Evidence for General Relativistic Frame Dragging
- Neutron star masses: dwarfs, giants and neighbors
Cited by in corpus (13)
- On gravitational echoes from ultracompact exotic stars
- Gravitomagnetic tidal effects in gravitational waves from neutron star binaries
- Fundamental physics and the absence of sub-millisecond pulsars
- Extended I-Love relations for slowly rotating neutron stars
- Speed of sound constraints on maximally rotating neutron stars
- Universal relations for compact stars with heavy baryons
- Investigating the I-Love-Q and w-mode Universal Relations Using Piecewise Polytropes
- Universal relations for compact stars with exotic degrees of freedom
- Dark I-Love-Q
- Effect of symmetry energy on properties of rapidly rotating neutron stars and universal relations
- Hot Holographic 2-flavor Quark Star
- Investigating Universal Relations in Compact Stars featuring Admixed Exotic Dense Matter
- Predictions on observing hot holographic quark star with gravitational waves