Parameter estimation of eccentric gravitational waves with a decihertz observatory and its cosmological implications

Abstract

Eccentricity of compact binaries can improve the parameter estimation of gravitational waves (GWs). In this paper, we first investigate the parameter estimation of eccentric GWs with decihertz observatory. We consider two scenarios for the configuration of DECIGO, i.e., the one cluster of DECIGO with its design sensitivity and B-DECIGO which also has one cluster but with inferior sensitivity as a comparison. We adopt the Fisher matrix to estimate the parameter errors. By mocking up the typical binaries in GWTC-3, we find a nonvanishing eccentricity can significantly improve the estimation for almost all waveform parameters. In particular, the localization of typical binary black holes (BBH) can achieve $\mathcal{O}(10-10^{3.5})$ factors of improvement when the initial eccentricity $e_0=0.4$ at 0.1 Hz. The precise localization of binary neutron stars (BNS) and neutron star--black hole binaries (NSBH), together with the large improvement of localization of BBH from eccentricity in the mid-band, inspire us to construct the catalogs of golden dark sirens whose host galaxies can be uniquely identified. We find that with only one cluster of DECIGO running 1 year in its design sensitivity, hundreds of golden dark BNS, NSBH, and tens of golden dark BBH can be observed. Eccentricity can greatly increase the population of golden dark BBH from $\sim 7(e_0=0)$ to $\sim 65(e_0=0.2)$. Such an increase of population of golden dark BBH events can improve the precision of Hubble constant measurement from 2.06\% to 0.68\%, matter density parameter from 64\% to 16\% in $\Lambda$CDM model. Through the phenomenological parameterization of GW propagation, the constraints of modified gravity can be improved from 6.2\% to 1.6\%. Our results show the remarkable significance of eccentricity for the detection and parameter estimation of GW events, allowing us to probe the Universe precisely.

29 pages, 23 figures, published in PRD

References in corpus (31)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Cosmic Star Formation History
• Multi-messenger Observations of a Binary Neutron Star Merger
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• A gravitational-wave standard siren measurement of the Hubble constant
• Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
• Gravitational waves from scattering of stellar-mass black holes in galactic nuclei
• Lidov-Kozai Cycles with Gravitational Radiation: Merging Black Holes in Isolated Triple Systems
• First measurement of the Hubble constant from a dark standard siren using the Dark Energy Survey galaxies and the LIGO/Virgo binary-black-hole merger GW170814
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Observational systematics and baryon acoustic oscillations in the correlation function
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in Fourier-space
• Determination of Dark Energy by the Einstein Telescope: Comparing with CMB, BAO and SNIa Observations
• Cosmology with the lights off: Standard sirens in the Einstein Telescope era
• Estimating cosmological parameters by the simulated data of gravitational waves from the Einstein Telescope
• A waveform model for eccentric binary black hole based on effective-one-body-numerical-relativity (EOBNR) formalism
• Searching for Eccentricity: Signatures of Dynamical Formation in the First Gravitational-Wave Transient Catalogue of LIGO and Virgo
• Accurate and efficient waveforms for compact binaries on eccentric orbits
• Reducing the weak lensing noise for the gravitational wave Hubble diagram using the non-Gaussianity of the magnification distribution
• Constraining stellar binary black hole formation scenarios with eLISA eccentricity measurements
• Observing complete gravitational wave signals from dynamical capture binaries
• Testing the general theory of relativity using gravitational wave propagation from dark standard sirens
• Validating the Effective-One-Body Numerical-Relativity Waveform Models for Spin-aligned Binary Black Holes along Eccentric Orbits
• Black Hole Binaries in Galactic Nuclei and Gravitational Wave Sources
• Generalized framework for testing gravity with gravitational-wave propagation. III. Future prospect
• Comprehensive analysis of the tidal effect in gravitational waves and implication for cosmology
• Gravitational wave source localization for eccentric binary coalesce with a ground-based detector network
• Space-borne atom interferometric gravitational wave detections. Part III. Eccentricity on dark sirens
• Accuracy of source localization for eccentric inspiraling binary mergers using a ground-based detector network
• Dark-siren Cosmology with Decihertz Gravitational-wave Detectors

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