Lensing Magnification Seen by Gravitational Wave Detectors

In this paper, we studied the gravitational lensing of gravitational wave events. The probability that an observed gravitational wave source has been (de-)amplified by a given amount is a detector-dependent quantity which depends on different ingredients: the lens distribution, the underlying distri...

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Main Authors: Giulia Cusin, Ruth Durrer, Irina Dvorkin
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/8/1/19
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author Giulia Cusin
Ruth Durrer
Irina Dvorkin
author_facet Giulia Cusin
Ruth Durrer
Irina Dvorkin
author_sort Giulia Cusin
collection DOAJ
description In this paper, we studied the gravitational lensing of gravitational wave events. The probability that an observed gravitational wave source has been (de-)amplified by a given amount is a detector-dependent quantity which depends on different ingredients: the lens distribution, the underlying distribution of sources and the detector sensitivity. The main objective of the present work was to introduce a semi-analytic approach to study the distribution of the magnification of a given source population observed with a given detector. The advantage of this approach is that each ingredient can be individually varied and tested. We computed the expected magnification as both a function of redshift and of the <i>observedsource luminosity distance</i>, which is the only quantity one can access via observation in the absence of an electromagnetic counterpart. As a case study, we then focus on the LIGO/Virgo network and on strong lensing (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>μ</mi><mo>></mo><mn>1</mn></mrow></semantics></math></inline-formula>).
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spelling doaj.art-ec0483c23d0643478d055447a04808152023-11-23T15:37:01ZengMDPI AGUniverse2218-19972021-12-01811910.3390/universe8010019Lensing Magnification Seen by Gravitational Wave DetectorsGiulia Cusin0Ruth Durrer1Irina Dvorkin2Centre for Astroparticle Physics, Département de Physique Théorique, Université de Genève, 24 quai Ernest-Ansermet, 1211 Geneva, SwitzerlandCentre for Astroparticle Physics, Département de Physique Théorique, Université de Genève, 24 quai Ernest-Ansermet, 1211 Geneva, SwitzerlandInstitut d’Astrophysique de Paris, Sorbonne Université, CNRS, UMR 7095, 98 bis Boulevard Arago, 75014 Paris, FranceIn this paper, we studied the gravitational lensing of gravitational wave events. The probability that an observed gravitational wave source has been (de-)amplified by a given amount is a detector-dependent quantity which depends on different ingredients: the lens distribution, the underlying distribution of sources and the detector sensitivity. The main objective of the present work was to introduce a semi-analytic approach to study the distribution of the magnification of a given source population observed with a given detector. The advantage of this approach is that each ingredient can be individually varied and tested. We computed the expected magnification as both a function of redshift and of the <i>observedsource luminosity distance</i>, which is the only quantity one can access via observation in the absence of an electromagnetic counterpart. As a case study, we then focus on the LIGO/Virgo network and on strong lensing (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>μ</mi><mo>></mo><mn>1</mn></mrow></semantics></math></inline-formula>).https://www.mdpi.com/2218-1997/8/1/19gravitational wavesgravitational lensingdetector sensitivitymagnification
spellingShingle Giulia Cusin
Ruth Durrer
Irina Dvorkin
Lensing Magnification Seen by Gravitational Wave Detectors
Universe
gravitational waves
gravitational lensing
detector sensitivity
magnification
title Lensing Magnification Seen by Gravitational Wave Detectors
title_full Lensing Magnification Seen by Gravitational Wave Detectors
title_fullStr Lensing Magnification Seen by Gravitational Wave Detectors
title_full_unstemmed Lensing Magnification Seen by Gravitational Wave Detectors
title_short Lensing Magnification Seen by Gravitational Wave Detectors
title_sort lensing magnification seen by gravitational wave detectors
topic gravitational waves
gravitational lensing
detector sensitivity
magnification
url https://www.mdpi.com/2218-1997/8/1/19
work_keys_str_mv AT giuliacusin lensingmagnificationseenbygravitationalwavedetectors
AT ruthdurrer lensingmagnificationseenbygravitationalwavedetectors
AT irinadvorkin lensingmagnificationseenbygravitationalwavedetectors