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Gravitational lensing aided luminosity distance estimation for compact binary coalescences
General Relativity and Quantum Cosmology · Submitted 30 May 2023
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Taking into account the maximum magnification allowed in two lensing scenarios and simulated GW signals emitted from four different binary black holes, we find that the strong lensing can improve the precision of the distance estimation of a CBC by up to a factor of a few compared to that can be expected without lensing.
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The abstract, sentence by sentence
The luminosity distance is a key observable of gravitational-wave (GW) observations. We demonstrate how one can correctly retrieve the luminosity distance of compact binary coalescences (CBCs) if the GW signal is strongly lensed. We perform a proof-of-concept parameter estimation for the luminosity distance supposing (i) strong lensing produces two lensed GW signals emitted from a CBC, (ii) the Advanced LIGO-Virgo network detects both lensed signals as independent events, and (iii) the two events are identified as strongly lensed signals originated from the same source. Taking into account the maximum magnification allowed in two lensing scenarios and simulated GW signals emitted from four different binary black holes, we find that the strong lensing can improve the precision of the distance estimation of a CBC by up to a factor of a few compared to that can be expected without lensing.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The luminosity distance is a key observable of gravitational-wave (GW) observations. | background 1.00 | 0.05 | 0.02 | asserted 1.00 |
| s1 | We demonstrate how one can correctly retrieve the luminosity distance of compact binary coalescences (CBCs) if the GW signal is strongly lensed. | contribution 1.00 | 0.81 | 0.25 | asserted 0.97 |
| s2 | We perform a proof-of-concept parameter estimation for the luminosity distance supposing (i) strong lensing produces two lensed GW signals emitted from a CBC, (ii) the Advanced LIGO-Virgo network detects both lensed signals as independent events, and (iii) the two events are identified as strongly lensed signals originated from the same source. | method 0.73 | 0.92 | 0.07 | asserted 0.76 |
| s3 | Taking into account the maximum magnification allowed in two lensing scenarios and simulated GW signals emitted from four different binary black holes, we find that the strong lensing can improve the precision of the distance estimation of a CBC by up to a factor of a few compared to that can be expected without lensing. | result 1.00 | 0.95 | 0.87 | asserted 0.98 |
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The paper
Original abstract
The luminosity distance is a key observable of gravitational-wave (GW) observations. We demonstrate how one can correctly retrieve the luminosity distance of compact binary coalescences (CBCs) if the GW signal is strongly lensed. We perform a proof-of-concept parameter estimation for the luminosity distance supposing (i) strong lensing produces two lensed GW signals emitted from a CBC, (ii) the Advanced LIGO-Virgo network detects both lensed signals as independent events, and (iii) the two events are identified as strongly lensed signals originated from the same source. Taking into account the maximum magnification allowed in two lensing scenarios and simulated GW signals emitted from four different binary black holes, we find that the strong lensing can improve the precision of the distance estimation of a CBC by up to a factor of a few compared to that can be expected without lensing.
Human review
How the literature uses it
1 arXiv paper cite this in 1 sentence
What it cites · 25 sentences without a confident label
Uses the method or tool of 4 papers
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The IMRPhenomXPHM waveform model [ref] is used for the preparation of both the injection signal and template signal.
Computationally efficient models for the dominant and sub-dominant harmonic modes of precessing binary black holes · Assumptions used in PE · 1.00
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In addition, it allows us to infer lensing parameters such as the relative magnification factors $μ_rel$, time delays $Δt$ between arrival times of lensed GW signals, and differences between Morse number $Δn$ of the lensed signals [ref] .
On the waveforms of gravitationally lensed gravitational waves · PE for lensed signals · 0.85
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Utilizing the Bilby library and Dynesty nested sampler [ref] , we perform PE (labeled as `normal PE' in Fig. [ref]) for a simulated $h_u(f)$.
dynesty: A Dynamic Nested Sampling Package for Estimating Bayesian Posteriors and Evidences · PE for unlensed signals · 1.00
Uses data or values from 1 paper
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We also test the feasibility with three other mock BBHs that are similar to the selected BBHs—representing different BBH populations and having different SNRs for their signals—listed in the latest gravitational-wave transient catalog, GWTC-3 [ref] .
GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run · Introduction · 0.97
Cites as background 13 papers
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In the context of GW observation with the network of the Advanced LIGO (aLIGO) [ref] and the Advanced Virgo (AdV) [ref] , the precision of the distance estimation—in terms of the width of the posterior distribution of estimated distance—of a compact binary coalescence (CBC) is, in general, subject to the signal-to-noise ratio (SNR) of the signal given detector sensitivity and noises contained in data [ref] .
Parameter estimation with gravitational waves · Introduction · 0.87
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In the context of GW observation with the network of the Advanced LIGO (aLIGO) [ref] and the Advanced Virgo (AdV) [ref] , the precision of the distance estimation—in terms of the width of the posterior distribution of estimated distance—of a compact binary coalescence (CBC) is, in general, subject to the signal-to-noise ratio (SNR) of the signal given detector sensitivity and noises contained in data [ref] .
Advanced Virgo: a 2nd generation interferometric gravitational wave detector · Introduction · 0.87
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In the context of GW observation with the network of the Advanced LIGO (aLIGO) [ref] and the Advanced Virgo (AdV) [ref] , the precision of the distance estimation—in terms of the width of the posterior distribution of estimated distance—of a compact binary coalescence (CBC) is, in general, subject to the signal-to-noise ratio (SNR) of the signal given detector sensitivity and noises contained in data [ref] .
Advanced LIGO · Introduction · 0.87
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