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Gravitational lensing constitutes one of the most direct observational manifestations of spacetime curvature and provides a powerful probe of compact astrophysical objects. In this work, we present a comprehensive analysis of the bending of…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Partha Pratim Basumallick , Saheb Das , Bhaswati Mandal , Subhadip Sau

A small fraction of gravitational-wave (GW) signals detected by ground-based observatories will be strongly lensed by intervening galaxies or clusters. This may produce multiple copies of the signals (i.e., lensed images) arriving at…

General Relativity and Quantum Cosmology · Physics 2025-10-28 A. Barsode , K. N. Maity , P. Ajith

The observables in a strong gravitational lens are usually just the image positions and sometimes the flux ratios. We develop a new and simple algorithm which allows a set of models to be fitted exactly to the observations. Taking our cue…

Astrophysics · Physics 2008-11-26 N. W. Evans , H. J. Witt

We develop a method for reconstructing the two-dimensional, projected gravitational potential of galaxy clusters from observed line-of-sight velocity dispersions of cluster galaxies. It is the third of an intended series of papers aiming at…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Eleonora Sarli , Sven Meyer , Massimo Meneghetti , Sara Konrad , Charles L. Majer , Matthias Bartelmann

We investigate the impact of higher-order gravitational lens properties and properties of the background source on our approach to directly infer local lens properties from observables in multiple images of strong gravitationally lensed…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-28 Jenny Wagner

We present the theoretical and analytical bases of optimal techniques to measure weak gravitational shear from images of galaxies. We first characterize the geometric space of shears and ellipticity, then use this geometric interpretation…

Astrophysics · Physics 2009-11-06 G. M. Bernstein , M. Jarvis

In addition to the determination of the mass distribution of lenses (see P. Schneider, this conference), strong and weak lensing can also be powerfull tools to analyse the redshift distribution of faint galaxies. In this review, I summarize…

Astrophysics · Physics 2007-05-23 Y. Mellier

We examine the possibility of observing gravitational lensing in the weak deflection regime by the supermassive black hole in the center of the galaxy M31. This black hole is significantly more massive than the black hole in the center of…

Astrophysics · Physics 2009-06-23 V. Bozza , S. Calchi Novati , L. Mancini

In this paper, we introduce the octopole moment of the light distribution in galaxies as a probe of the weak lensing shear field. While traditional ellipticity estimates of the local shear derived from the quadrupole moment are limited by…

Astrophysics · Physics 2011-02-11 D. M. Goldberg , P. Natarajan

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

We use galaxy-galaxy lensing data to test General Relativity and $f(T)$ gravity at galaxies scales. We consider an exact spherically symmetric solution of $f(T)$ theory which is obtained from an approximate quadratic correction, and thus it…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-06 Qingqing Wang , Xin Ren , Bo Wang , Yi-Fu Cai , Wentao Luo , Emmanuel N. Saridakis

Galaxy shapes are not randomly oriented, rather they are statistically aligned in a way that can depend on formation environment, history and galaxy type. Studying the alignment of galaxies can therefore deliver important information about…

We present the results of a study of weak gravitational lensing by galaxies using imaging data that were obtained as part of the second Red Sequence Cluster Survey (RCS2). In order to compare to the baryonic properties of the lenses we…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Edo van Uitert , Henk Hoekstra , Malin Velander , David G. Gilbank , Michael D. Gladders , H. K. C. Yee

Weak gravitational lensing provides a unique method to map directly the distribution of dark matter in the universe and to measure cosmological parameters. This cosmic-shear technique is based on the measurement of the weak distortions that…

Astrophysics · Physics 2008-11-26 Alexandre Refregier

We investigate the weak lensing shear due to dark matter galaxy halos whose mass distributions, as projected on the sky, are nearly elliptical. The shear pattern due to these halos is anisotropic about the lens centers and we quantify the…

Astrophysics · Physics 2007-05-23 T. G. Brainerd , C. O. Wright

The angular cross-correlation between two galaxy samples separated in redshift is shown to be a useful measure of weak lensing by large-scale structure. Angular correlations in faint galaxies arise due to spatial clustering of the galaxies…

Astrophysics · Physics 2020-11-25 R. Moessner , Bhuvnesh Jain

The dispersion in the peak luminosities of high redshift type Ia supernovae will change with redshift due to gravitational lensing. This lensing is investigated with an emphasis on the prospects of measuring it and separating it from other…

Astrophysics · Physics 2015-06-24 R Benton Metcalf

We explore interstellar light transmission facilitated by gravitational lensing, focusing on axially-symmetric lensing configurations where the transmitter, lens, and receiver are nearly aligned. Positioning an optical transmitter in the…

General Relativity and Quantum Cosmology · Physics 2024-10-03 Slava G. Turyshev

We have discovered strong gravitational lensing by the galaxy ESO325-G004, in images obtained with the Advanced Camera for Surveys on the Hubble Space Telescope. The lens galaxy is a boxy group-dominant elliptical at z=0.0345, making this…

Astrophysics · Physics 2009-11-11 Russell J. Smith , John P. Blakeslee , John R. Lucey , John Tonry

According to the theory of general relativity, masses deflect light in a way similar to convex glass lenses. This gravitational lensing effect is astigmatic, giving rise to image distortions. These distortions allow to quantify cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-21 Matthias Bartelmann , Matteo Maturi