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We study the amplitude of the weak gravitational lensing signal as a function of stellar mass around a sample of relatively isolated galaxies. This selection of lenses simplifies the interpretation of the observations, which consist of data…

Astrophysics · Physics 2009-11-13 Lanlan Tian , Henk Hoekstra , Hongsheng Zhao

We study gravitational lensing and the bending of light in low energy scale (M_S) gravity theories with extra space-time dimensions n. We find that due to the presence of spin-2 Kaluza-Klein states from compactification, a correction to the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiao-Gang He , Girish C. Joshi , Bruce H. J. McKellar

Modified Newtonian dynamics (MOND) is a possible way to explain the flat galaxy rotation curves without invoking the existence of dark matter. It is however quite difficult to predict such a phenomenology in a consistent field theory, free…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Jean-Philippe Bruneton , Gilles Esposito-Farese

We propose a simple field theory reproducing the MOND phenomenology at galaxy scale, while predicting negligible deviations from general relativity at small scales thanks to an extended Vainshtein ("k-mouflage") mechanism induced by a…

General Relativity and Quantum Cosmology · Physics 2011-09-15 Eugeny Babichev , Cedric Deffayet , Gilles Esposito-Farese

In this article, we develop a formalism which is different from the standard lensing scenario and is necessary for understanding lensing by gravitational fields which arise as solutions of the effective Einstein equations on the brane. We…

General Relativity and Quantum Cosmology · Physics 2008-12-30 Supratik Pal , Sayan Kar

Strong lensing has developed into an important astrophysical tool for probing both cosmology and galaxies (their structure, formation, and evolution). Using the gravitational lensing theory and cluster mass distribution model, we try to…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Shuo Cao , Yu Pan , Marek Biesiada , Wlodzimierz Godlowski , Zong-Hong Zhu

We investigate gravitational lensing in the context of the MOG modified theory of gravity. Using a formulation of the theory with no adjustable or fitted parameters, we present the MOG equations of motion for slow, nonrelativistic test…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-04 J. W. Moffat , S. Rahvar , V. T. Toth

Milgrom's Modified Newtonian dynamics (MOND) provides an efficient way to summarize phenomenology of galaxies which does not lean on the notion of dark matter; it has great predictive power. Here I briefly review MOND as well as its…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-22 Jacob D. Bekenstein

We introduce a new adaptive and fully Bayesian grid-based method to model strong gravitational lenses with extended images. The primary goal of this method is to quantify the level of luminous and dark-mass substructure in massive galaxies,…

Astrophysics · Physics 2009-11-13 S. Vegetti , L. V. E. Koopmans

We present a framework that reformulates gravitational lensing as an optical phenomenon governed by an effective refractive index, enabling exploration of modified gravity theories using undergraduate-level mathematics and optics. After…

General Relativity and Quantum Cosmology · Physics 2026-04-09 Romy Hanang Setya Budhi

We derive a relativistic extension of Modified Newtonian Dynamics (MOND) within the framework of entropic gravity by introducing temperature-dependent corrections to the equipartition law on a holographic screen. Starting from a Debye-like…

General Relativity and Quantum Cosmology · Physics 2025-11-11 A. Rostami , K. Rezazadeh , M. Rostampour

Intercluster filaments negligibly contribute to the weak lensing signal in general relativity (GR), $\gamma_{N}\sim 10^{-4}-10^{-3}$. In the context of relativistic modified Newtonian dynamics (MOND) introduced by Bekenstein, however, a…

Gravitational lensing directly measures mass density fluctuations along the lines of sight to very distant objects. No assumptions need to be made concerning bias, the ratio of fluctuations in galaxy density to mass density. Hence, lensing…

Astrophysics · Physics 2007-05-23 Joachim Wambsganss , Renyue Cen , Jeremiah P. Ostriker

Matter near a gravitational lens galaxy or projected along the line of sight (LOS) can affect strong lensing observables by more than contemporary measurement errors. We simulate lens fields with realistic three-dimensional mass…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-12 Curtis McCully , Charles R. Keeton , Kenneth C. Wong , Ann I. Zabludoff

Although the modified dynamics (MOND) proposed by Milgrom successfully accounts for the systematics of galaxy rotation curves and cluster dynamics without invoking dark matter, the idea remains a largely ad hoc modification of Newtonian…

Astrophysics · Physics 2009-10-28 R. H. Sanders

In this geometrical approach to gravitational lensing theory, we apply the Gauss-Bonnet theorem to the optical metric of a lens, modelled as a static, spherically symmetric, perfect non-relativistic fluid, in the weak deflection limit. We…

General Relativity and Quantum Cosmology · Physics 2008-12-18 G W Gibbons , M C Werner

Gravitational lensing is the relativistic effect generated by massive bodies, which bend the space-time surrounding them. It is a deeply investigated topic in astrophysics and allows validating theoretical relativistic results and studying…

Instrumentation and Methods for Astrophysics · Physics 2023-06-26 Nicolò Oreste Pinciroli Vago , Piero Fraternali

We discuss gravitational lensing in the Kehagias-Sfetsos space-time emerging in the framework of Ho\v{r}ava-Lifshitz gravity. In weak lensing we show that there are three regimes, depending on the value of $\bar {\lambda}=1/\omega d^{2}$,…

General Relativity and Quantum Cosmology · Physics 2011-10-14 Zsolt Horváth , László Á. Gergely , Zoltán Keresztes , Tiberiu Harko , Francisco S. N. Lobo

We use a new non-parametric gravitational modelling tool -- \Glass{} -- to determine what quality of data (strong lensing, stellar kinematics, and/or stellar masses) are required to measure the circularly averaged mass profile of a lens and…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Jonathan P. Coles , Justin I. Read , Prasenjit Saha

The Euclid mission aims to survey around 14000 deg^{2} of extragalactic sky, providing around 10^{5} gravitational lens images. Modelling of gravitational lenses is fundamental to estimate the total mass of the lens galaxy, along with its…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-28 Euclid Collaboration , V. Busillo , C. Tortora , R. B. Metcalf , J. W. Nightingale , M. Meneghetti , F. Gentile , R. Gavazzi , F. Zhong , R. Li , B. Clément , G. Covone , N. R. Napolitano , F. Courbin , M. Walmsley , E. Jullo , J. Pearson , D. Scott , A. M. C. Le Brun , L. Leuzzi , N. Aghanim , B. Altieri , A. Amara , S. Andreon , H. Aussel , C. Baccigalupi , M. Baldi , S. Bardelli , P. Battaglia , A. Biviano , E. Branchini , M. Brescia , J. Brinchmann , S. Camera , G. Cañas-Herrera , V. Capobianco , C. Carbone , V. F. Cardone , J. Carretero , S. Casas , M. Castellano , G. Castignani , S. Cavuoti , K. C. Chambers , A. Cimatti , C. Colodro-Conde , G. Congedo , C. J. Conselice , L. Conversi , Y. Copin , H. M. Courtois , M. Cropper , A. Da Silva , H. Degaudenzi , S. de la Torre , G. De Lucia , A. M. Di Giorgio , J. Dinis , H. Dole , F. Dubath , X. Dupac , S. Dusini , S. Escoffier , M. Farina , R. Farinelli , F. Faustini , S. Ferriol , F. Finelli , S. Fotopoulou , M. Frailis , E. Franceschi , S. Galeotta , K. George , W. Gillard , B. Gillis , C. Giocoli , J. Gracia-Carpio , B. R. Granett , A. Grazian , F. Grupp , S. V. H. Haugan , W. Holmes , I. Hook , F. Hormuth , A. Hornstrup , P. Hudelot , K. Jahnke , M. Jhabvala , B. Joachimi , E. Keihänen , S. Kermiche , A. Kiessling , B. Kubik , M. Kümmel , M. Kunz , H. Kurki-Suonio , Q. Le Boulc'h , S. Ligori , P. B. Lilje , V. Lindholm , I. Lloro , G. Mainetti , D. Maino , E. Maiorano , O. Mansutti , O. Marggraf , K. Markovic , M. Martinelli , N. Martinet , F. Marulli , R. Massey , S. Maurogordato , E. Medinaceli , S. Mei , Y. Mellier , E. Merlin , G. Meylan , A. Mora , M. Moresco , L. Moscardini , R. Nakajima , C. Neissner , S. -M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , 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 , R. Saglia , Z. Sakr , A. G. Sánchez , D. Sapone , B. Sartoris , J. A. Schewtschenko , M. Schirmer , P. Schneider , T. Schrabback , A. Secroun , E. Sefusatti , G. Seidel , M. Seiffert , S. Serrano , P. Simon , C. Sirignano , G. Sirri , G. Smadja , L. Stanco , J. Steinwagner , P. Tallada-Crespí , A. N. Taylor , I. Tereno , S. Toft , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , L. Valenziano , J. Valiviita , T. Vassallo , A. Veropalumbo , Y. Wang , J. Weller , G. Zamorani , E. Zucca , V. Allevato , M. Ballardini , M. Bolzonella , E. Bozzo , C. Burigana , R. Cabanac , M. Calabrese , D. Di Ferdinando , J. A. Escartin Vigo , L. Gabarra , M. Huertas-Company , S. Matthew , N. Mauri , A. A. Nucita , A. Pezzotta , M. Pöntinen , C. Porciani , V. Scottez , M. Tenti , M. Viel , M. Wiesmann , Y. Akrami , S. Alvi , I. T. Andika , S. Anselmi , M. Archidiacono , F. Atrio-Barandela , D. Bertacca , M. Bethermin , A. Blanchard , L. Blot , S. Borgani , M. L. Brown , S. Bruton , A. Calabro , B. Camacho Quevedo , A. Cappi , F. Caro , C. S. Carvalho , T. Castro , F. Cogato , S. Conseil , S. Contarini , A. R. Cooray , O. Cucciati , F. De Paolis , G. Desprez , A. Díaz-Sánchez , S. Di Domizio , J. M. Diego , P. Dimauro , A. Enia , Y. Fang , A. G. Ferrari , P. G. Ferreira , A. Finoguenov , A. Franco , K. Ganga , J. García-Bellido , T. Gasparetto , V. Gautard , E. Gaztanaga , F. Giacomini , F. Gianotti , G. Gozaliasl , M. Guidi , C. M. Gutierrez , A. Hall , W. G. Hartley , S. Hemmati , C. Hernández-Monteagudo , H. Hildebrandt , J. Hjorth , J. J. E. Kajava , Y. Kang , V. Kansal , D. Karagiannis , K. Kiiveri , C. C. Kirkpatrick , S. Kruk , M. Lattanzi , J. Le Graet , L. Legrand , M. Lembo , F. Lepori , G. Leroy , J. Lesgourgues , T. I. Liaudat , S. J. Liu , A. Loureiro , J. Macias-Perez , G. Maggio , M. Magliocchetti , F. Mannucci , R. Maoli , J. Martín-Fleitas , C. J. A. P. Martins , L. Maurin , M. Miluzio , P. Monaco , C. Moretti , G. Morgante , S. Nadathur , K. Naidoo , P. Natoli , A. Navarro-Alsina , S. Nesseris , F. Passalacqua , K. Paterson , L. Patrizii , A. Pisani , D. Potter , S. Quai , M. Radovich , I. Risso , P. -F. Rocci , S. Sacquegna , M. Sahlén , E. Sarpa , A. Schneider , M. Schultheis , D. Sciotti , E. Sellentin , M. Sereno , L. C. Smith , J. Stadel , K. Tanidis , C. Tao , G. Testera , R. Teyssier , S. Tosi , A. Troja , M. Tucci , C. Valieri , A. Venhola , D. Vergani , G. Vernardos , G. Verza , P. Vielzeuf , N. A. Walton