Constraining the p-mode--g-mode tidal instability with GW170817

Abstract

We analyze the impact of a proposed tidal instability coupling $p$-modes and $g$-modes within neutron stars on GW170817. This non-resonant instability transfers energy from the orbit of the binary to internal modes of the stars, accelerating the gravitational-wave driven inspiral. We model the impact of this instability on the phasing of the gravitational wave signal using three parameters per star: an overall amplitude, a saturation frequency, and a spectral index. Incorporating these additional parameters, we compute the Bayes Factor ($\ln B_{!pg}^{pg}$) comparing our $p$-$g$ model to a standard one. We find that the observed signal is consistent with waveform models that neglect $p$-$g$ effects, with $\ln B_{!pg}^{pg}=0.03_{-0.58}^{+0.70}$ (maximum a posteriori and 90% credible region). By injecting simulated signals that do not include $p$-$g$ effects and recovering them with the $p$-$g$ model, we show that there is a $\simeq 50\%$ probability of obtaining similar $\ln B_{!pg}^{pg}$ even when $p$-$g$ effects are absent. We find that the $p$-$g$ amplitude for 1.4 $M_{\odot }$ neutron stars is constrained to $\lesssim \text{few}\times 10^{-7}$, with maxima a posteriori near $\sim 10^{-7}$ and $p$-$g$ saturation frequency $\sim 70\mathrm{Hz}$. This suggests that there are less than a few hundred excited modes, assuming they all saturate by wave breaking. For comparison, theoretical upper bounds suggest a $p$-$g$ amplitude $\lesssim 10^{-6}$ and $\lesssim 10^3$ modes saturating by wave breaking. Thus, the measured constraints only rule out extreme values of the $p$-$g$ parameters. They also imply that the instability dissipates $\lesssim 10^{51}\mathrm{ergs}$ over the entire inspiral, i.e., less than a few percent of the energy radiated as gravitational waves.

7 pages, 2 figures

References in corpus (36)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• Advanced LIGO
• GW170817: Measurements of Neutron Star Radii and Equation of State
• Properties of the binary neutron star merger GW170817
• Constraining neutron star tidal Love numbers with gravitational wave detectors
• Robust parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library
• Tidal Deformabilities and Radii of Neutron Stars from the Observation of GW170817
• Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
• GW170817: Joint Constraint on the Neutron Star Equation of State from Multimessenger Observations
• BayesWave: Bayesian Inference for Gravitational Wave Bursts and Instrument Glitches
• Effects of neutron-star dynamic tides on gravitational waveforms within the effective-one-body approach
• Search for post-merger gravitational waves from the remnant of the binary neutron star merger GW170817
• BayesLine: Bayesian Inference for Spectral Estimation of Gravitational Wave Detector Noise
• Estimating the Contribution of Dynamical Ejecta in the Kilonova Associated with GW170817
• TIGER: A data analysis pipeline for testing the strong-field dynamics of general relativity with gravitational wave signals from coalescing compact binaries
• Resonant Tidal Excitations of Rotating Neutron Stars in Coalescing Binaries
• Calibration Uncertainty for Advanced LIGO's First and Second Observing Runs
• Mitigation of the instrumental noise transient in gravitational-wave data surrounding GW170817
• Gravitomagnetic resonant excitation of Rossby modes in coalescing neutron star binaries
• Resonant tidal excitation of superfluid neutron stars in coalescing binaries
• Reconstructing the calibrated strain signal in the Advanced LIGO detectors
• Resonant Tidal Excitation of Oscillation Modes in Merging Binary Neutron Stars: Inertial-Gravity Modes
• Resonant Tidal Excitations of Inertial Modes in Coalescing Neutron Star Binaries
• Using gravitational-wave data to constrain dynamical tides in neutron star binaries
• Active noise cancellation in a suspended interferometer
• An instability due to the nonlinear coupling of p-modes to g-modes: Implications for coalescing neutron star binaries
• Regression of Environmental Noise in LIGO Data
• The stability of tidally deformed neutron stars to three- and four-mode coupling
• Dynamical tides in coalescing superfluid neutron star binaries with hyperon cores and their detectability with third generation gravitational-wave detectors
• Increasing LIGO sensitivity by feedforward subtraction of auxiliary length control noise
• Growth rate of the tidal p-mode g-mode instability in coalescing binary neutron stars
• Impact of the tidal p-g instability on the gravitational wave signal from coalescing binary neutron stars
• Equation of State Dependence of Nonlinear Mode-tide Coupling in Coalescing Binary Neutron Stars
• Constraints on nonlinear tides due to $p$-$g$ mode coupling from the neutron-star merger GW170817

Cited by in corpus (38)

• GW190425: Observation of a Compact Binary Coalescence with Total Mass $\sim 3.4M_{\odot }$
• Observation of gravitational waves from two neutron star-black hole coalescences
• Neutron star tidal deformability and equation of state constraints
• Nonparametric Inference of Neutron Star Composition, Equation of State, and Maximum Mass with GW170817
• Model comparison from LIGO-Virgo data on GW170817's binary components and consequences for the merger remnant
• Parameter estimation with gravitational waves
• Constraints on Einstein-dilaton-Gauss-Bonnet gravity from Black Hole-Neutron Star Gravitational Wave Events
• Discriminating between Neutron Stars and Black Holes with Imperfect Knowledge of the Maximum Neutron Star Mass
• The sum of Love: Exploring the effective tidal deformability of neutron stars
• Early warning of coalescing neutron-star and neutron-star-black-hole binaries from nonstationary noise background using neural networks
• Quark Models and Radial Oscillations: Decoding the HESS J1731-347 Compact Object's Equation of State
• Relativistic effective action of dynamical gravitomagnetic tides for slowly rotating neutron stars
• VARAHA: A Fast Non-Markovian sampler for estimating Gravitational-Wave posteriors
• Probing Crust Meltdown in Inspiraling Binary Neutron Stars
• Probing hybrid stars with gravitational waves via interfacial modes
• Theory-agnostic framework for dynamical scalarization of compact binaries
• The Gravitational Wave Universe Toolbox: A software package to simulate observation of the Gravitational Wave Universe with different detectors
• Beyond the linear tide: impact of the non-linear tidal response of neutron stars on gravitational waveforms from binary inspirals
• Inference of the neutron star equation of state from cosmological distances
• Oscillation Modes and Gravitational Waves from Strangeon Stars
• General-relativistic treatment of tidal $g$-mode resonances in coalescing binaries of neutron stars. II. As triggers for precursor flares of short gamma-ray bursts
• Constraining Unmodeled Physics with Compact Binary Mergers from GWTC-1
• The stepping-stone sampling algorithm for calculating the evidence of gravitational wave models
• Dynamical tides during the inspiral of rapidly spinning neutron stars: Solutions beyond mode resonance
• Discrepancy in tidal deformability of GW170817 between the Advanced LIGO twin detectors
• Constraining dense matter physics using f-mode oscillations in neutron stars
• New dynamical tide constraints from current and future gravitational wave detections of inspiralling neutron stars
• Multipole tidal effects in the post-Newtonian gravitational-wave phase of compact binary coalescences
• Diffusion as a leading dissipative mechanism in superconducting neutron stars
• Follow-up analyses of the binary-neutron-star signals GW170817 and GW190425 by using post-Newtonian waveform models
• Measuring spin in coalescing binaries of neutron stars showing double precursors
• Bayesian analysis of a relativistic hadronic model constrained by recent astrophysical observations
• Non-Radial Oscillation Modes in Hybrid Stars with Hyperons and Delta Baryons
• Probing Strange Dark Matter through $f$-mode Oscillations of Neutron Stars with Hyperons and Quark Matter
• Effect of Dark matter and $\sigma$-cut potential on radial and non-radial oscillation modes in neutron stars
• $g$-mode of neutron stars in pseudo-Newtonian gravity
• Nonlinear mode-tide coupling in coalescing binary neutron stars with relativistic corrections
• Distinguishing between Black Holes and Neutron Stars within a Population of Weak Tidal Measurements