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When gravitational waves propagate near massive objects, their paths curve resulting in gravitational lensing, which is expected to be a promising new instrument in astrophysics. If the time delay between different paths is comparable with…

General Relativity and Quantum Cosmology · Physics 2022-07-14 Oleg Bulashenko , Helena Ubach

We present detailed calculations of the magnification distribution, including both weak and strong lensing, using very recent solutions of the Dyer-Roeder (1973) equation for light propagation in a inhomogeneous universe with a cosmological…

In this study, we investigate gravitational lensing within modified gravity frameworks, focusing on the Hu-Sawicki $f(R)$ and normal branch Dvali-Gabadadze-Porrati (nDGP) models, and we compare these results with those obtained from general…

General Relativity and Quantum Cosmology · Physics 2025-01-03 Ali Tizfahm , Saeed Fakhry , Javad T. Firouzjaee , Antonino Del Popolo

We have previously reported the discovery of strong gravitational lensing by faint elliptical galaxies using the WFPC2 on HST and here we investigate their potential usefulness in putting constraints on lens mass models. We compare various…

Astrophysics · Physics 2009-11-06 Adam Knudson , Kavan U. Ratnatunga , Richard E. Griffith

The weak distortions produced by gravitational lensing in the images of background galaxies provide a method to measure directly the distribution of mass in the universe. However this technique requires high precision measurements of the…

Astrophysics · Physics 2009-10-31 Jason Rhodes , Alexandre Refregier , Ed Groth

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

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

In this paper, we study the deflection of light by a class of phantom black hole and wormhole solutions in the weak limit approximation. More specifically, in the first part of this work, we study the deflection of light by…

General Relativity and Quantum Cosmology · Physics 2019-05-01 Ali Övgün , Galin Gyulchev , Kimet Jusufi

We investigate strong gravitational lensing by a charged loop quantum gravity (LQG) black hole obtained through the polymerisation scheme of Borges \textit{et al.} \cite{Borges:2023fog}. These effective geometries replace the…

General Relativity and Quantum Cosmology · Physics 2025-11-25 Arun Kumar , Qiang Wu , Tao Zhu , Sushant G. Ghosh

Studies of strong gravitational lensing in current and upcoming wide and deep photometric surveys, and of stellar kinematics from (integral-field) spectroscopy at increasing redshifts, promise to provide valuable constraints on galaxy…

Astrophysics · Physics 2015-05-13 Glenn van de Ven , Rachel Mandelbaum , Charles R. Keeton

In a recent series of papers, the authors introduced a new Relativistic Newtonian Dynamics (RND) and tested its validity by the accurate prediction of the gravitational time dilation, the anomalous precession of Mercury, the periastron…

General Physics · Physics 2017-05-24 Y. Friedman , J. M. Steiner

The relativistic semi-classical approximation for a free massive particle is studied using the Wigner-Weyl formalism. A non-covariant Wigner function is proposed using the Newton-Wigner position operator. The perturbative solution for the…

High Energy Physics - Theory · Physics 2007-05-23 J. Mourad

A source lying near hyperbolic umbilic (HU) leads to a ring-like image formation, constituting four images with high magnification factors and lying in a small region of the lens plane. Since (based on our earlier work) the observed number…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-17 Ashish Kumar Meena , Jasjeet Singh Bagla

The gravitational waves (GWs) has been a topic of interest for its versatile capabilities of probing several aspects of cosmology and early Universe. Gravitational lensing enhances further the extent of this sort of waves and upgrade our…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Ashadul Halder , Shibaji Banerjee , Debasish Majumdar

The gravitational lens SDSS J1148+1930, also known as the Cosmic Horseshoe, is one of the biggest and of the most detailed Einstein rings ever observed. We use the forward reconstruction method implemented in the lens fitting code Lensed to…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-07 Fabio Bellagamba , Nicolas Tessore , R. Benton Metcalf

In this paper we apply the strong deflection limit approach to investigate the gravitational lensing phenomena beyond general relativity. This is accomplished by considering the lensing effects related to black hole solutions that emerge…

General Relativity and Quantum Cosmology · Physics 2016-10-13 R. T. Cavalcanti , A. Goncalves da Silva , Roldao da Rocha

We perform a matched asymptotic expansion to find an analytic formula for the trajectory of a light ray in a Schwarzschild metric, in a power series expansion in the deviation of the impact parameter from its critical value. We present…

General Relativity and Quantum Cosmology · Physics 2024-11-19 Spandan Minwalla

Strong gravitational lensing is a unique tool to model with great accuracy the inner mass distribution of massive galaxy clusters. In particular, clusters with large Einstein radii provide a wealth of multiply imaged systems in the cluster…

Astrophysics of Galaxies · Physics 2009-11-13 Johan Richard , Liuyi Pei , Marceau Limousin , Eric Jullo , Jean-Paul Kneib

Reference system approach of non-relativistic electron fluid theory was adapted for calculation of characteristics of the electron-nuclear model at the densities typical of degenerate dwarfs. Two- and three correlation functions of…

Statistical Mechanics · Physics 2017-12-15 M. V. Vavrukh , D. V. Dzikovskyi , N. L. Tyshko

The gravitational lensing effects in the weak gravitational field by exotic lenses have been investigated intensively to find nonluminous exotic objects. Gravitational lensing based on 1/r^n fall-off metric, as a one-parameter model that…

General Relativity and Quantum Cosmology · Physics 2014-09-25 Naoki Tsukamoto , Takao Kitamura , Koki Nakajima , Hideki Asada