Detecting Strong Gravitational Lensing of Gravitational Waves with TianQin
arXiv:2304.04800 · doi:10.1103/PhysRevD.108.064020
Abstract
When gravitational waves (GWs) pass by a massive object on its way to Earth, a strong gravitational lensing effect will happen. Thus, the GW signal will be amplified, deflected, and delayed in time. Through analyzing the lensed GW waveform, physical properties of the lens can be inferred. On the other hand, neglecting lensing effects in the analysis of GW data may induce systematic errors in the estimating of source parameters. As a space-borne GW detector, TianQin will be launched in the 2030s. It is expected to detect dozens of mergers of massive black hole binaries (MBHBs) as far as z=15 and thus will have high probability to detect at least one lensed event during the mission lifetime. In this article, we discuss the capability of TianQin to detect lensed MBHB signals.Three lens models are considered in this work: the point mass model, the singular isothermal sphere (SIS) model, and the Navarro-Frenk-White (NFW) model. The sensitive frequency band for space-borne GW detectors is around millihertz, and the corresponding GW wavelength could be comparable to the lens gravitational length scale, which requires us to account for wave diffraction effects. In calculating lensed waveforms, we adopt the approximation of geometric optics at high frequencies to accelerate computation, while precisely evaluating the diffraction integral at low frequencies. Through a Fisher analysis, we analyze the accuracy to estimate the lens parameters. We find that the accuracy can reach to the level of 10^-3 for the mass of point mass and SIS lens and to the level of 10^-5 for the density of the NFW lens. We also assess the impact on the accuracy of estimating the source parameters and find that the improvement of the accuracy is dominated by the increasing of signal-to-noise ratio.
arXiv comment12 pages, 8 figures, published version
References in corpus (67)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- A Universal Density Profile from Hierarchical Clustering
- GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
- GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
- TianQin: a space-borne gravitational wave detector
- Gravitational Waves from Mergin Compact Binaries: How Accurately Can One Extract the Binary's Parameters from the Inspiral Waveform?
- Frequency-domain gravitational waves from non-precessing black-hole binaries. II. A phenomenological model for the advanced detector era
- The construction and use of LISA sensitivity curves
- Science with the space-based interferometer eLISA. I: Supermassive black hole binaries
- Wave Effects in Gravitational Lensing of Gravitational Waves from Chirping Binaries
- Constraints on the cosmic expansion history from GWTC-3
- Search for gravitational lensing signatures in LIGO-Virgo binary black hole events
- Precision cosmology from future lensed gravitational wave and electromagnetic signals
- Gravitational-Wave Fringes at LIGO: Detecting Compact Dark Matter by Gravitational Lensing
- Science with the TianQin Observatory: Preliminary results on Galactic double white dwarf binaries
- Gravitational waveforms for compact binaries from second-order self-force theory
- Science with the TianQin observatory: Preliminary results on massive black hole binaries
- Fundamentals of the orbit and response for TianQin
- Speed of Gravitational Waves from Strongly Lensed Gravitational Waves and Electromagnetic Signals
- Cosmography with strong lensing of LISA gravitational wave sources
- Detecting Lensing-Induced Diffraction in Astrophysical Gravitational Waves
- Science with the TianQin observatory: Preliminary results on stellar-mass binary black holes
- Probing Anisotropies of the Stochastic Gravitational Wave Background with LISA
- Localizing merging black holes with sub-arcsecond precision using gravitational-wave lensing
- Discovering intermediate-mass black hole lenses through gravitational wave lensing
- Science with the TianQin observatory: Preliminary result on extreme-mass-ratio inspirals
- Constraining the abundance of primordial black holes with gravitational lensing of gravitational waves at LIGO frequencies
- Science with the TianQin Observatory: Preliminary Results on Stochastic Gravitational-Wave Background
- Detecting Stellar Lensing of Gravitational Waves with Ground-Based Observatories
- Please repeat: Strong lensing of gravitational waves as a probe of compact binary and galaxy populations
- Identifying strong gravitational-wave lensing during the second observing run of Advanced LIGO and Advanced Virgo
- Probing Massive Black Hole Binary Populations with LISA
- Science with the TianQin observatory: Preliminary results on testing the no-hair theorem with ringdown signals
- Gravitational wave lensing beyond general relativity: birefringence, echoes and shadows
- Probing Dark Low-mass Halos and Primordial Black Holes with Frequency-dependent Gravitational Lensing Dispersions of Gravitational Waves
- Multi-Messenger Time Delays from Lensed Gravitational Waves
- Gravitational Lensing of Gravitational Waves: Effect of Microlens Population in Lensing Galaxies
- Search for strongly lensed counterpart images of binary black hole mergers in the first two LIGO observing runs
- Testing the nature of gravitational-wave polarizations using strongly lensed signals
- Preliminary study on parameter estimation accuracy of supermassive black hole binary inspirals for TianQin
- Spectral separation of the stochastic gravitational-wave background for LISA: observing both cosmological and astrophysical backgrounds
- Identifying Type II Strongly Lensed Gravitational-Wave Images in Third-Generation Gravitational-Wave Detectors
- Arrival time differences between gravitational waves and electromagnetic signals due to gravitational lensing
- Observability of lensing of gravitational waves from massive black hole binaries with LISA
- Lensing of gravitational waves as a probe of compact dark matter
- Bayesian parameter estimation of stellar-mass black-hole binaries with LISA
- Breaking the mass-sheet degeneracy with gravitational wave interference in lensed events
- Constraining the cosmological parameters using gravitational wave observations of massive black hole binaries and statistical redshift information
- Constraining cosmological parameters in FLRW metric with lensed GW+EM signals
- Detecting Gravitational-waves from Extreme Mass Ratio Inspirals using Convolutional Neural Networks
- Quasi-geometrical Optics Approximation in Gravitational Lensing
- Strong lensing as a giant telescope to localize the host galaxy of gravitational wave event
- Parameter estimation of stellar-mass black hole binaries with LISA
- Evidence for lensing of gravitational waves from LIGO-Virgo
- The wave nature of continuous gravitational waves from microlensing
- Constraining modified gravity with ringdown signals: an explicit example
- A Higher Probability of Detecting Lensed Supermassive Black Hole Binaries by LISA
- Anomalies in Time Delays of Lensed Gravitational Waves and Dark Matter Substructures
- Characterisation of lensing selection effects for LISA massive black hole binary mergers
- Convergence and Efficiency of Different Methods to Compute the Diffraction Integral for Gravitational Lensing of Gravitational Waves
- A 1201 s Orbital Period Detached Binary: the First Double Helium Core White Dwarf LISA Verification Binary
- Lensing of Gravitational Waves as a Novel Probe of Graviton Mass
- Testing general relativity with TianQin: the prospect of using the inspiral signals of black hole binaries
- New probe of gravity: strongly lensed gravitational wave multi-messenger approach
- Constraints on compact dark matter from lensing of gravitational waves for the third-generation gravitational wave detector
- Lensing rates of gravitational wave signals displaying beat patterns detectable by DECIGO and B-DECIGO
- Modulation of a Chirp Gravitational Wave from a Compact Binary due to Gravitational Lensing
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- Weakly Lensed Gravitational Waves: Probing Cosmic Structures with Wave-Optics Features
- Detecting Dark Matter Substructures on Small Scales with Fast Radio Bursts
- Distinguish the environmental effects and modified theory of gravity with multiple massive black-hole binaries
- Fundamental Physics and Cosmology with TianQin
- Probing the Spin-Induced Quadrupole Moment of Massive Black Holes with the Inspiral of Binary Black Holes
- Rigorous calculation of scalar scattering in Schwarzschild background: the convergence of partial-wave series and Poisson spot
- Gravitational wave lensing: probing Fuzzy Dark Matter with LISA
- Modulations of Gravitational Waves due to Non-static Gravitational Lenses
- Bayesian Analysis of Wave-Optics Gravitationally Lensed Massive Black Hole Binaries with Space-Based Gravitational Wave Detector
- Gravitational lensing of gravitational waves: universal characteristics of strongly lensed memory waveforms