The failure of the Fisher Matrix when including tidal terms: Considering construction of template banks of tidally deformed binary neutron stars
arXiv:2101.01091 · doi:10.1103/PhysRevD.104.043008
Abstract
Recent gravitational-wave observations have begun to constrain the internal physics of neutron stars. However, current detection searches for neutron star systems assume that potential neutron stars are low-mass black holes, ignoring any affect on the gravitational-wave signal due to the internal neutron-star physics. We wish to create a template bank of binary neutron star waveforms including the effect of tidal deformability. However, we find that the Fisher matrix, which is commonly used to approximate match calculations when placing template banks, is unsuitable to predict the match between two binary neutron star waveforms. We find that the Fisher matrix can predict errors on the mismatch that are larger than when attempting to identify waveforms with a match of . We explore the regime in which the Fisher matrix cannot be trusted and examine why it breaks down. We demonstrate that including higher-order terms in the Taylor series expansion of the match can reliably compute matches for these examples, but that it is prohibitively computationally expensive to do so. Finally, we demonstrate that stochastic placement can still be used to construct a template bank of tidally deformed neutron-star waveforms.
arXiv comment11 pages, 5 figures
References in corpus (69)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- Advanced Virgo: a 2nd generation interferometric gravitational wave detector
- GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
- Advanced LIGO
- GW170817: Measurements of Neutron Star Radii and Equation of State
- GW190814: Gravitational Waves from the Coalescence of a 23 M Black Hole with a 2.6 M Compact Object
- GW190425: Observation of a Compact Binary Coalescence with Total Mass
- Constraining neutron star tidal Love numbers with gravitational wave detectors
- Exploring the Sensitivity of Next Generation Gravitational Wave Detectors
- Frequency-domain gravitational waves from non-precessing black-hole binaries. II. A phenomenological model for the advanced detector era
- Tidal deformability of neutron stars with realistic equations of state and their gravitational wave signatures in binary inspiral
- Constraining the Maximum Mass of Neutron Stars From Multi-Messenger Observations of GW170817
- Using gravitational-wave observations and quasi-universal relations to constrain the maximum mass of neutron stars
- The PyCBC search for gravitational waves from compact binary coalescence
- Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
- Use and Abuse of the Fisher Information Matrix in the Assessment of Gravitational-Wave Parameter-Estimation Prospects
- FINDCHIRP: an algorithm for detection of gravitational waves from inspiraling compact binaries
- An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
- GW170817: Joint Constraint on the Neutron Star Equation of State from Multimessenger Observations
- Neutron-star radius constraints from GW170817 and future detections
- Binary neutron-star mergers: a review of Einstein's richest laboratory
- Search templates for gravitational waves from inspiraling binaries: Choice of template spacing
- Gravitational waves from inspiralling compact binaries: Parameter estimation using second-post-Newtonian waveforms
- Measurability of the tidal polarizability of neutron stars in late-inspiral gravitational-wave signals
- Matched filtering of gravitational waves from inspiraling compact binaries: Computational cost and template placement
- Analysis Framework for the Prompt Discovery of Compact Binary Mergers in Gravitational-wave Data
- Gravitational waveforms from inspiralling compact binaries to second-post-Newtonian order
- On the Maximum Mass of Differentially Rotating Neutron Stars
- Post-1-Newtonian tidal effects in the gravitational waveform from binary inspirals
- Remnant massive neutron stars of binary neutron star mergers: Evolution process and gravitational waveform
- Search for post-merger gravitational waves from the remnant of the binary neutron star merger GW170817
- Gravitational waves from inspiraling compact binaries: The quadrupole-moment term
- Gravitational waves from coalescing binaries: detection strategies and Monte Carlo estimation of parameters
- Low-latency analysis pipeline for compact binary coalescences in the advanced gravitational wave detector era
- A New Search Pipeline for Compact Binary Mergers: Results for Binary Black Holes in the First Observing Run of Advanced LIGO
- Gravitational waves from inspiraling compact binaries: Validity of the stationary-phase approximation to the Fourier transform
- Searching for gravitational waves from binary coalescence
- Quadratic-in-spin effects in the orbital dynamics and gravitational-wave energy flux of compact binaries at the 3PN order
- Differential Rotation in Neutron Stars: Magnetic Braking and Viscous Damping
- A stochastic template placement algorithm for gravitational wave data analysis
- Model comparison from LIGO-Virgo data on GW170817's binary components and consequences for the merger remnant
- Detecting binary neutron star systems with spin in advanced gravitational-wave detectors
- Search for gravitational waves from a long-lived remnant of the binary neutron star merger GW170817
- Accelerated gravitational-wave parameter estimation with reduced order modeling
- Improving the sensitivity of a search for coalescing binary black holes with non-precessing spins in gravitational wave data
- Observing and measuring the neutron-star equation-of-state in spinning binary neutron star systems
- A template bank to search for gravitational waves from inspiralling compact binaries I: physical models
- An effectual template bank for the detection of gravitational waves from inspiralling compact binaries with generic spins
- Gravitational waves from inspiralling compact binaries: hexagonal template placement and its efficiency in detecting physical signals
- Investigating the effect of precession on searches for neutron-star-black-hole binaries with Advanced LIGO
- Summed Parallel Infinite Impulse Response (SPIIR) Filters For Low-Latency Gravitational Wave Detection
- Implementing a search for gravitational waves from non-precessing, spinning binary black holes
- On the Ambiguity in Relativistic Tidal Deformability
- Building a stochastic template bank for detecting massive black hole binaries
- Effectual gravitational-wave template banks for coalescing compact binaries using a hybrid placement algorithm
- Beyond Fisher: exact sampling distributions of the maximum-likelihood estimator in gravitational-wave parameter estimation
- Prospects for joint gravitational-wave and electromagnetic observations of neutron-star--black-hole coalescing binaries
- Accuracy of gravitational waveform models for observing neutron-star--black-hole binaries in Advanced LIGO
- Cover art: issues in the metric-guided and metric-less placement of random and stochastic template banks
- Hybrid geometric-random template placement algorithm for gravitational wave searches from compact binary coalescences
- Relative Binning and Fast Likelihood Evaluation for Gravitational Wave Parameter Estimation
- Application of asymptotic expansions for maximum likelihood estimators' errors to gravitational waves from binary mergers: the network case
- Towards Rapid Parameter Estimation on Gravitational Waves from Compact Binaries using Interpolated Waveforms
- Parameter estimation from Gravitational waves generated by non-spinning binary black holes with laser interferometers: beyond the Fisher information
- Application of asymptotic expansions of maximum likelihood estimators errors to gravitational waves from binary mergers: the single interferometer case
- A hierarchical search for gravitational waves from supermassive black hole binary mergers
- Computational Resources to Filter Gravitational Wave Data with P-approximant Templates
- Matter Effects on LIGO/Virgo Searches for Gravitational Waves from Merging Neutron Stars
Cited by in corpus (8)
- 3-OGC: Catalog of gravitational waves from compact-binary mergers
- Systematic Biases in Estimating the Properties of Black Holes Due to Inaccurate Gravitational-Wave Models
- Neutron StarNeutron Star and Neutron StarBlack Hole Mergers: Multiband Observations and Early Warnings
- A geometric template bank for the detection of spinning low-mass compact binaries with moderate orbital eccentricity
- Systematic errors due to quasi-universal relations in binary neutron stars and their correction for unbiased model selection
- Detectability of Sub-Solar Mass Neutron Stars Through a Template Bank Search
- Template bank to search for exotic gravitational wave signals from astrophysical compact binaries
- Measurability of neutron star tidal deformability from merging neutron star-black hole binaries