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(shortened) We determine the transformation matrix T that maps multiple images with resolved features onto one another and that is based on a Taylor-expanded lensing potential close to a point on the critical curve within our…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-16 Jenny Wagner , Nicolas Tessore

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

Flexion is a non-linear gravitational lensing effect that arises from gradients in the convergence and shear across an image. We derive a formalism that describes non-linear gravitational lensing by a circularly symmetric lens in the…

Cosmology and Nongalactic Astrophysics · Physics 2009-10-05 Paul Lasky , Chris Fluke

We investigate the statistics of gravitational lenses in flat, low-density cosmological models with different cosmic equations of state w. We compute the lensing probabilities as a function of image separation \theta using a lens population…

Astrophysics · Physics 2009-11-07 Nick Sarbu , David Rusin , Chung-Pei Ma

Plasma lensing is the refraction of low-frequency electromagnetic rays due to free electrons in the interstellar medium. Although the phenomenon has a distinct similarity to gravitational lensing, particularly in its mathematical…

Astrophysics of Galaxies · Physics 2019-08-07 Xinzhong Er , Adam Rogers

Using a general relativistic exact model for spherical structures in a cosmological background, we have put forward an algorithm to calculate the test particle geodesics within such cosmological structures in order to obtain the velocity…

General Relativity and Quantum Cosmology · Physics 2016-11-26 Mohammadhosein Razbin , Javad T. Firouzjaee , Reza Mansouri

The deflection, potential, shear and magnification of a gravitational lens following an elliptical power law mass model are investigated. This mass model is derived from the circular power law profile through a rescaling of the axes,…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-01 Nicolas Tessore , R. Benton Metcalf

Long-slit optical spectra along the major axis of spiral galaxies constitute a main source of information concerning the kinematics of galaxies. In highly inclined spiral galaxies the long-slit spectrum is distorted by dust, which obscures…

Astrophysics · Physics 2009-11-10 Angelos Misiriotis

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

Various solutions of the kinetic equation for the equilibrium of a gravitating sphere of uniform density with a quadratic gravitational potential and a linear dependence of gravitational force on radius are examined. New analytic solutions…

Astrophysics of Galaxies · Physics 2021-07-21 G. S. Bisnovatyi-Kogan

Recent studies have demonstrated that detailed monitoring of gravitational microlensing events can reveal the presence of planets orbiting the microlensed source stars. With the potential of probing planets in the Galactic Bulge and…

Astrophysics · Physics 2009-11-06 Ceri E. Ashton , Geraint F. Lewis

We use the statistics of strong gravitational lenses to investigate whether mass profiles with a flat density core are supported. The probability for lensing by halos modeled by a nonsingular truncated isothermal sphere (NTIS) with image…

Astrophysics · Physics 2009-11-10 Da-Ming Chen

Strong gravitational lensing of gravitational waves (GWs) occurs when the GWs from a compact binary system travel near a massive object. The mismatch between a lensed signal and unlensed templates determines whether lensing can be…

General Relativity and Quantum Cosmology · Physics 2023-05-24 Saif Ali , Evangelos Stoikos , Evan Meade , Michael Kesden , Lindsay King

We investigate the possibility of determining the mass distribution of a gravitational lens via lensing observations. We consider an extended, compact gravitational lens, representing its static external gravitational potential via an…

General Relativity and Quantum Cosmology · Physics 2022-06-06 Slava G. Turyshev , Viktor T. Toth

Most gravitational lens systems consist of two or four observable images. The absence of detectable odd images allows us to place a lower limit on the power-law slope of the inner mass profile of lensing galaxies. Using a sample of six…

Astrophysics · Physics 2009-10-31 D. Rusin , Chung-Pei Ma

We report the serendipitous discovery of ``Einstein cross'' gravitational lens candidates using the Hubble Space Telescope. We have so far discovered two good examples of such lenses, each in the form of four faint blue images located in a…

Astrophysics · Physics 2009-10-28 Kavan U. Ratnatunga , Eric J. Ostrander , Richard E. Griffiths , Myungshin Im

Gravitational lensing has been identified as a powerful tool to address fundamental problems in astrophysics at different scales, ranging from exoplanet identification to dark energy and dark matter characterization in cosmology. Image…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-17 Andrés A. Plazas

We investigate a two-component model for gravitational lenses, i.e., the fermion-fermion star as a dark matter self-gravitating system made from two kinds of fermions with different masses. We calculate the deflection angles varying from…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Ke-Jian Jin , Yuan-Zhong Zhang , Zong-Hong Zhu

We demonstrate an efficient method to compute the strong-gravitational-lensing deflection angle and magnification for any elliptical surface-density profile. This method solves a numerical hurdle in lens modelling that has lacked a general…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-10 Anowar J. Shajib

(abridged) Aims: RXS J113155.4-123155 (z=0.66) is a quadruply imaged lensed quasar with a resolved Einstein Ring. The goal of this paper is to provide a full characterization of this system, and more particularly accurate astrometry and…