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Gravitational lensing is predicted by general relativity and is found in observations. When a gravitating body is surrounded by a plasma, the lensing angle depends on a frequency of the electromagnetic wave due to refraction properties, and…

Astrophysics · Physics 2009-11-13 G. S. Bisnovatyi-Kogan , O. Yu. Tsupko

Gravitational lensing magnifies the luminosity of galaxies behind the lens. We use this effect to constrain the total mass in the cluster Abell 1689 by comparing the lensed luminosities of background galaxies with the luminosity function of…

Astrophysics · Physics 2009-10-31 S. Dye , A. N. Taylor , E. M. Thommes , K. Meisenheimer , C. Wolf , J. A. Peacock

A long-standing problem in astrophysics is to measure the mass associated with galaxies. Gravitational lensing provides one of the cleanest ways to make this measurement. To date, the most powerful lensing probes of galactic mass have been…

Astrophysics · Physics 2009-09-29 Scott Dodelson , Glenn D. Starkman

The first decade of the new millenium should see the first direct detections of gravitational waves. This will be a milestone for fundamental physics and it will open the new observational science of gravitational wave astronomy. But…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Bernard F Schutz

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 on the waves. Here we focus on the…

High Energy Astrophysical Phenomena · Physics 2021-11-17 A. Renske A. C. Wierda , Ewoud Wempe , Otto A. Hannuksela , Léon V. E. Koopmans , Chris Van Den Broeck

The potential of gravitational lenses for providing direct, physical measurements of the Hubble constant, free from systematic errors associated with the traditional distance ladder, has long been recognized. However, it is only recently…

Astrophysics · Physics 2007-05-23 Roger D. Blandford , Tomislav Kundic

In this paper, we exploit the gravitational lensing effect to detect proper motion in the highly magnified gravitationally lensed source MG B2016+112. We find positional shifts up to 6 mas in the lensed images by comparing two Very Long…

Astrophysics of Galaxies · Physics 2019-10-02 C. Spingola , J. P. McKean , D. Massari , L. V. E. Koopmans

HST V and I-band observations show that the gravitational lens B1359+154 consists of six images of a single z_s=3.235 radio source and its star-forming host galaxy, produced by a compact group of galaxies at z_l = 1. VLBA observations at…

The study of light lensed by cosmic matter has yielded much information about astrophysical questions. Observations are explained using geometrical optics following a ray-based description of light. After deflection the lensed light…

Instrumentation and Methods for Astrophysics · Physics 2023-06-22 Valeria Rodriguez-Fajardo , Thao P. Nguyen , Kiyan S. Hocek , Jacob M. Freedman , Enrique J. Galvez

The purpose of these lecture notes is to describe the gravitational lens effects in different astrophysical contexts. These notes are voluntarily focused on the fundamental mechanisms and the basic concepts that are useful to describe these…

Astrophysics · Physics 2007-05-23 F. Bernardeau

Since the first detection of gravitational waves in 2015, gravitational-wave astronomy has emerged as a rapidly advancing field that holds great potential for studying the cosmos, from probing the properties of black holes to testing the…

General Relativity and Quantum Cosmology · Physics 2023-05-17 Anna Liu , Isaac C. F. Wong , Samson H. W. Leong , Anupreeta More , Otto A. Hannuksela , Tjonnie G. F. Li

Strong gravitational lensing produces multiple images of a gravitational wave (GW) signal, which can be observed by detectors as time-separated copies of the same event. It has been shown that under favourable circumstances, by combining…

General Relativity and Quantum Cosmology · Physics 2023-08-04 Harsh Narola , Justin Janquart , Leïla Haegel , K. Haris , Otto A. Hannuksela , Chris Van Den Broeck

Like many areas of astrophysics and cosmology, the Vera C. Rubin Observatory will be transformational for almost all the applications of strong lensing, thanks to the dramatic increase in the number of known strong lenses by two orders of…

We calculate the expected number of gravitationally lensed optical, radio and sub-mm lensed sources on the whole sky due to foreground galaxy clusters for different cosmological models. We improve previous calculations of lensed arc…

Astrophysics · Physics 2011-05-23 Asantha R. Cooray

Dark matter structures within strong gravitational lens galaxies and along their line of sight leave a gravitational imprint on the multiple images of lensed sources. Strong gravitational lensing provides, therefore, a key test of different…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-22 S. Vegetti , S. Birrer , G. Despali , C. D. Fassnacht , D. Gilman , Y. Hezaveh , L. Perreault Levasseur , J. P. McKean , D. M. Powell , C. M. O'Riordan , G. Vernardos

Galaxy clusters are expected to gravitationally lens background radio sources. However, due to the smaller surface density of radio sources, when compared to optical galaxies, such lensed events are rare. For an example, it is expected that…

Astrophysics · Physics 2011-05-23 Asantha R. Cooray

The Early Release Observations (ERO) from Euclid have detected several new galaxy-galaxy strong gravitational lenses, with the all-sky survey expected to find 170,000 new systems, greatly enhancing studies of dark matter, dark energy, and…

Astrophysics of Galaxies · Physics 2025-05-28 B. C. Nagam , J. A. Acevedo Barroso , J. Wilde , I. T. Andika , A. Manjón-García , R. Pearce-Casey , D. Stern , J. W. Nightingale , L. A. Moustakas , K. McCarthy , E. Moravec , L. Leuzzi , K. Rojas , S. Serjeant , T. E. Collett , P. Matavulj , M. Walmsley , B. Clément , C. Tortora , R. Gavazzi , R. B. Metcalf , C. M. O'Riordan , G. Verdoes Kleijn , L. V. E. Koopmans , E. A. Valentijn , V. Busillo , S. Schuldt , F. Courbin , G. Vernardos , M. Meneghetti , A. Díaz-Sánchez , J. M. Diego , L. R. Ecker , T. T. Thai , A. R. Cooray , H. M. Courtois , L. Delchambre , G. Despali , D. Sluse , L. Ulivi , A. Melo , P. Corcho-Caballero , B. Altieri , A. Amara , S. Andreon , N. Auricchio , H. Aussel , C. Baccigalupi , M. Baldi , A. Balestra , S. Bardelli , P. Battaglia , D. Bonino , E. Branchini , M. Brescia , J. Brinchmann , A. Caillat , S. Camera , V. Capobianco , C. Carbone , J. Carretero , S. Casas , M. Castellano , G. Castignani , S. Cavuoti , A. Cimatti , C. Colodro-Conde , G. Congedo , C. J. Conselice , L. Conversi , Y. Copin , M. Cropper , A. Da Silva , H. Degaudenzi , G. De Lucia , A. M. Di Giorgio , J. Dinis , F. Dubath , C. A. J. Duncan , X. Dupac , S. Dusini , M. Fabricius , M. Farina , S. Farrens , S. Ferriol , M. Frailis , E. Franceschi , M. Fumana , K. George , W. Gillard , B. Gillis , C. Giocoli , P. Gómez-Alvarez , A. Grazian , F. Grupp , L. Guzzo , S. V. H. Haugan , J. Hoar , W. Holmes , I. Hook , F. Hormuth , A. Hornstrup , P. Hudelot , K. Jahnke , M. Jhabvala , B. Joachimi , E. Keihänen , S. Kermiche , B. Kubik , K. Kuijken , M. Kümmel , M. Kunz , H. Kurki-Suonio , R. Laureijs , D. Le Mignant , S. Ligori , P. B. Lilje , V. Lindholm , I. Lloro , G. Mainetti , E. Maiorano , O. Mansutti , O. Marggraf , K. Markovic , M. Martinelli , N. Martinet , F. Marulli , R. Massey , E. Medinaceli , M. Melchior , Y. Mellier , E. Merlin , G. Meylan , M. Moresco , L. Moscardini , R. Nakajima , C. Neissner , R. C. Nichol , S. -M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , W. J. Percival , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. A. Popa , L. Pozzetti , F. Raison , R. Rebolo , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , E. Rossetti , R. Saglia , Z. Sakr , A. G. Sánchez , D. Sapone , B. Sartoris , M. Schirmer , P. Schneider , T. Schrabback , A. Secroun , G. Seidel , S. Serrano , C. Sirignano , G. Sirri , J. Skottfelt , L. Stanco , J. -L. Starck , J. Steinwagner , P. Tallada-Crespí , D. Tavagnacco , A. N. Taylor , H. I. Teplitz , I. Tereno , R. Toledo-Moreo , F. Torradeflot , A. Tsyganov , I. Tutusaus , L. Valenziano , T. Vassallo , A. Veropalumbo , Y. Wang , J. Weller , A. Zacchei , E. Zucca , C. Burigana , A. Mora , M. Pöntinen , V. Scottez

We search for gravitational wave (GW) events from LIGO-Virgo's third run that may have been affected by gravitational lensing. Gravitational lensing delays the arrival of GWs, and alters their amplitude -- thus biasing the inferred…

These lectures give an introduction to Gravitational Lensing. We discuss lensing by point masses, lensing by galaxies, and lensing by clusters and larger-scale structures in the Universe. The relevant theory is developed and applications to…

Astrophysics · Physics 2009-09-25 Ramesh Narayan , Matthias Bartelmann

Cold dark matter (CDM) constitutes most of the matter in the Universe. The interplay between dark and luminous matter in dense cosmic environments like galaxy clusters is studied theoretically using cosmological simulations. Observed…