Gravitational lensing of gravitational waves: A statistical perspective

  title={Gravitational lensing of gravitational waves: A statistical perspective},
  author={Shun-Sheng Li and Shude Mao and Yuetong Zhao and Youjun Lu},
  journal={Monthly Notices of the Royal Astronomical Society},
In this paper, we study the strong gravitational lensing of gravitational waves (GWs) from a statistical perspective, with particular focus on the high frequency GWs from stellar binary black hole coalescences. These are most promising targets for ground-based detectors such as Advanced Laser Interferometer Gravitational Wave Observatory (aLIGO) and the proposed Einstein Telescope (ET) and can be safely treated under the geometrical optics limit for GW propagation. We perform a thorough… 

Figures and Tables from this paper

Gravitational lensing of gravitational waves: wave nature and prospects for detection
  • A. Meena, J. Bagla
  • Physics, Geology
    Monthly Notices of the Royal Astronomical Society
  • 2019
We discuss the gravitational lensing of gravitational wave (GW) signals from coalescing binaries. We delineate the regime where wave effects are significant from the regime where geometric limit
Gravitational lensing of core-collapse supernova gravitational wave signals
We discuss the prospects of gravitational lensing of gravitational waves (GWs) coming from core-collapse supernovae (CCSN). As the CCSN GW signal can only be detected from within our own Galaxy and
Please Repeat: Strong Lensing of Gravitational Waves as a Probe of Compact Binary and Galaxy Populations
Strong gravitational lensing of gravitational wave sources offers a novel probe of both the lens galaxy and the binary source population. In particular, the strong lensing event rate and the
Probing compact dark matter with gravitational wave fringes detected by the Einstein Telescope
Unlike the electromagnetic radiation from astrophysical objects, gravitational waves (GWs) from binary star mergers have much longer wavelengths and are coherent. For ground-based GW detectors, when
Stellar-mass microlensing of gravitational waves
When gravitational waves pass through the nuclear star clusters of galactic lenses, they may be microlensed by the stars. Such microlensing can cause potentially observable beating patterns on the
Phase effects from strong gravitational lensing of gravitational waves
Assessing the probability that two or more gravitational wave (GW) events are lensed images of the same source requires an understanding of the properties of the lensed images. For short enough
Detecting lensing-induced diffraction in astrophysical gravitational waves
Gravitational waves emitted from compact binary coalescence can be subject to wave diffraction if they are gravitationally lensed by an intervening mass clump whose Schwarzschild timescale matches
Beyond the Detector Horizon: Forecasting Gravitational-Wave Strong Lensing
When gravitational waves pass near massive astrophysical objects, they can be gravitationally lensed. The lensing can split them into multiple wave fronts, magnify them, or imprint beating patterns
Strong lensing as a giant telescope to localize the host galaxy of gravitational wave event
Standard siren cosmology of gravitational wave (GW) merger events relies on the identification of host galaxies and their redshifts. But this can be highly challenging due to numerous candidates of
Search for Lensing Signatures in the Gravitational-Wave Observations from the First Half of LIGO–Virgo’s Third Observing Run
We search for signatures of gravitational lensing in the gravitational-wave signals from compact binary coalescences detected by Advanced Laser Interferometer Gravitational-wave Observatory (LIGO)


Wave Effects in the Gravitational Lensing of Gravitational Waves from Chirping Binaries
In the gravitational lensing of gravitational waves, wave optics should be used instead of geometrical optics when the wavelength λ of the gravitational waves is longer than the Schwarzschild radius
Testing the Speed of Gravitational Waves over Cosmological Distances with Strong Gravitational Lensing.
This work suggests a method that does not make an assumption that a single strongly lensed GW event would produce robust constraints on c_{GW}/c_{γ} at the 10^{-7} level, if a high-energy EM counterpart is observed within the field of view of an observing γ-ray burst monitor.
Strong gravitational lensing of gravitational waves from double compact binaries—perspectives for the Einstein Telescope
Gravitational wave (GW) experiments are entering their advanced stage which should soon open a new observational window on the Universe. Looking into this future, the Einstein Telescope (ET) was
Precision cosmology from future lensed gravitational wave and electromagnetic signals
It is demonstrated that the time delay between lensed gravitational wave signals and their electromagnetic counterparts can reduce the uncertainty in the Hubble constant.
Strong lensing of gravitational waves as seen by LISA.
This work discusses strong gravitational lensing of gravitational waves from the merging of massive black hole binaries in the context of the LISA mission, and suggests probabilities to observe multiple events are sizable for a broad range of formation histories.
Cosmography with strong lensing of LISA gravitational wave sources
Laser Interferometer Space Antenna (LISA) might detect gravitational waves from mergers of massive black hole binaries strongly lensed by intervening galaxies. The detection of multiple gravitational
Gravitational Lensing of Gravitational Waves from Merging Neutron Star Binaries.
The expected total number of events which are present due to gravitational lensing and their redshift distribution for an advanced LIGO in a flat Universe is computed.
Gravitational lensing effects on parameter estimation in gravitational wave detection with advanced detectors
The gravitational lensing effect is important to the detection of electromagnetic signals in astrophysics. The gravitational wave lensing effect has also been found significant to gravitational wave
Speed of Gravitational Waves from Strongly Lensed Gravitational Waves and Electromagnetic Signals.
A new model-independent measurement strategy for the propagation speed of gravitational waves (GWs) based on strongly lensed GWs and their electromagnetic (EM) counterparts is proposed, which requires, however, that the theory of gravity is metric and predicts gravitational lensing similar to general relativity.
On the waveforms of gravitationally lensed gravitational waves
Strong lensing by intervening galaxies can produce multiple images of gravitational waves from sources at cosmological distances. These images acquire additional phase-shifts as the over-focused