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We discuss how inhomogeneities of the universe affect observations of the gravitational lensing; (1) the bending angle, (2) the lensing statistics and (3) the time delay. In order to take account of the inhomogeneities, the Dyer-Roeder…

Astrophysics · Physics 2009-10-30 Hideki Asada

In General Relativity (GR), the graviton is massless. However, a common feature in several theoretical alternatives of GR is a non-zero mass for the graviton. These theories can be described as massive gravity theories. Despite many…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-17 Akshay Rana , Deepak Jain , Shobhit Mahajan , Amitabha Mukherjee

Dark matter caustics have specific density profiles and, therefore, precisely calculable gravitational lensing properties. We present a formalism which simplifies the relevant calculations, and apply it to four specific cases. In the first…

Astrophysics · Physics 2009-11-07 C. Charmousis , V. Onemli , Z. Qiu , P. Sikivie

In a gravitational lensing system, the relative transverse velocities of the lens, source, and observer induce a frequency shift in the observed radiation. While this shift is typically negligible in most astrophysical contexts, strategies…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-21 Mikołaj Korzyński , Mateusz Kulejewski

In this article, we present an overview of the new developments in problems of the plasma influence on the effects of gravitational lensing, complemented by pieces of new material and relevant discussions. Deflection of light in the…

General Relativity and Quantum Cosmology · Physics 2019-05-17 Gennady S. Bisnovatyi-Kogan , Oleg Yu. Tsupko

Gravitational lensing and stellar dynamics provide two complementary, nearly orthogonal, constraints on the mass distribution of early-type lens galaxies. This allows the luminous and dark-matter distribution in higher-redshift (z>0.1)…

Astrophysics · Physics 2007-05-23 L. V. E. Koopmans

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

In non-minimally coupled effective gravity theories one can have non-topological solitonic solutions. A typical solution is a spherical region with $G_{\it eff}=0$ outside and having the canonical Newtonian value inside. Such a spherical…

Astrophysics · Physics 2007-05-23 M. V. Safonova , D. Lohiya

We study the effect of the cosmological constant on the statistical properties of gravitational lenses in flat cosmologies (Omega_{0}+lambda_{0} = 1). It is shown that some of the lens observables are strongly affected by the cosmological…

Astrophysics · Physics 2009-10-30 Deepak Jain , N. Panchapakesan , S. Mahajan , V. B. Bhatia

The wealth of incoming and future cosmological observations will allow us to map out the structure and evolution of the observable universe to an unprecedented level of precision. Among these observations is the weak gravitational lensing…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 M. A. Troxel , Mustapha Ishak

Gravitational lenses are a unique new constraint on the structure of galaxies. We review the evidence that most lenses are early-type galaxies, the optical properties of the lens galaxies, the evidence against constant M/L models, recent…

Astrophysics · Physics 2007-05-23 C. S. Kochanek , C. R. Keeton

We study analytically a gravitational lens due to a deformed star, which is modeled by using a monopole and a quadrupole moment. Positions of the images are discussed for a source on the principal axis. We present explicit expressions for…

Astrophysics · Physics 2009-11-10 Hideki Asada

We calculate the deflection of a light ray caused by the gravitational field of a cosmic string loop in the weak field limit and reduce the problem to a single quadrature over a time slice of the loop's world sheet. We then apply this…

Astrophysics · Physics 2011-09-09 Andrew A de Laix , Tanmay Vachaspati

Gravitational lensing by rotating extended deflectors is discussed. Due to spin, corrections on image positions, caustics and critical curves can be significant. In order to obtain realistic quantitative estimates, the lens is modeled as a…

Astrophysics · Physics 2009-11-10 M. Sereno

Weak gravitational lensing, the deflection of light by mass, is one of the best tools to constrain the growth of cosmic structure with time and reveal the nature of dark energy. I discuss the sources of systematic uncertainty in weak…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-17 Rachel Mandelbaum

In this work, the strong lensing effect of the memory signal was considered. In the geometric optics limit, the lensed memory signal becomes oscillatory, while the unlensed is basically monotonic. This is because only the high frequency…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Ruanjing Zhang , Zhi-Chao Zhao , Shaoqi Hou , Xi-Long Fan , Kai Liao , Zong-Hong Zhu

Measuring dark matter substructure within galaxy cluster haloes is a fundamental probe of the Lambda-CDM model of structure formation. Gravitational lensing is a technique for measuring the total mass distribution which is independent of…

Cosmology and Nongalactic Astrophysics · Physics 2012-05-17 Benjamin Cain , Paul L. Schechter , M. W. Bautz

Gravitational lensing can provide pure geometric tests of the structure of space-time, for instance by determining empirically the angular diameter distance-redshift relation. This geometric test has been demonstrated several times using…

Weak gravitational lensing signals of optically identified clusters are impacted by a selection bias -- halo triaxiality and large-scale structure along the line of sight simultaneously boost the lensing signal and richness (the inferred…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-10 Titus Nyarko Nde , Hao-Yi Wu , Shulei Cao , Gladys Muthoni Kamau , Andrius Tamosiunas , Chun-Hao To , Conghao Zhou

Strong gravitational lensing provides unique opportunities to investigate the mass distribution at the cores of galaxy clusters and to study high redshift galaxies. Using $94$ strong lensing models of $74$ cluster fields from the…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-06 Carter Fox , Guillaume Mahler , Keren Sharon , Juan D. Remolina González
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