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Compact objects with magnetic dipole are considered as gravitational lenses. The presence of strong magnetic field near the photon sphere can affect the trajectory of light. We compute the deflection angle near the photon sphere on the…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Jin Young Kim

It is shown that gravitational lensing by point masses arranged in an infinitely extended regular lattice can be studied analytically using the Weierstrass functions. In particular, we draw the critical curves and the caustic networks for…

Astrophysics · Physics 2008-11-26 Jin H. An

Gravitational waves (GWs) are lensed by matter, offering a unique probe of both the large-scale structure of the Universe and the fundamental properties of GW propagation. GWs can also be affected by wave optics effects when their…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Juno C. L. Chan , Conor Dyson , Matilde Garcia , Jaime Redondo-Yuste , Luka Vujeva

We study moderate gravitational lensing where a background galaxy is magnified substantially, but not multiply imaged, by an intervening galaxy. We focus on the case where both the lens and source are elliptical galaxies. The signatures of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 S. Mao , J. Wang , M. C. Smith

For a general class of analytic $f(R,R_{\alpha\beta}R^{\alpha\beta},R_{\alpha\beta\gamma\delta}R^{\alpha\beta\gamma\delta})$ we discuss the gravitational lensing in the Newtonian Limit of theory. From the properties of Gauss Bonnet…

General Relativity and Quantum Cosmology · Physics 2015-05-30 A. Stabile , An. Stabile

We develop a unified, analytic framework for gravitational lensing by Kerr black holes. In this first paper we present a new, general lens equation and magnification formula governing lensing by a compact object. Our lens equation assumes…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Amir B. Aazami , Charles R. Keeton , A. O. Petters

In this article we study gravitational lensing by non-rotating and asymptotically flat black holes in Horndeski theory. By adopting the strong deflection limit, we calculate the deflection angle, from which we obtain the positions and the…

General Relativity and Quantum Cosmology · Physics 2017-11-27 Javier Badía , Ernesto F. Eiroa

I describe a new approach (developed in collaboration with D.E. Holz) to calculating the statistical distributions for magnification, shear, and rotation of images of cosmological sources due to gravitational lensing by mass inhomogeneities…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert M. Wald

Luminous tracers have been used extensively to map the large-scale matter distribution in the Universe. Similarly the dynamics of stars or galaxies can be used to estimate masses of galaxies and clusters of galaxies. However, assumptions…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-25 H. Hoekstra

We investigate the propagation of light rays and evolution of optical scalars in gauge theories of gravity where torsion is present. Recently the modified Raychaudhuri equation in the presence of torsion has been derived. We use this result…

General Relativity and Quantum Cosmology · Physics 2019-01-09 Siamak Akhshabi

We are developing a general, unified, and rigorous analytical framework for using gravitational lensing by compact objects to test different theories of gravity beyond the weak-deflection limit. In this paper we present the formalism for…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Charles R. Keeton , A. O. Petters

We derive a grey linear diffusion equation for photons with respect to inertial (or lab-frame) space and time, using asymptotic analysis in 1D planar geometry. The solution of the equation is the comoving radiation energy density. Our…

High Energy Astrophysical Phenomena · Physics 2026-02-12 Ryan T. Wollaeger , Jim E. Morel , Kendra P. Long , Mathew A. Cleveland , Robert B. Lowrie

We explore the impact of corrections to the propagation on the waveforms of gravitationally lensed gravitational waves under the geometrical optics approximation, focusing on both uniform cosmological modifications and local modifications…

General Relativity and Quantum Cosmology · Physics 2025-03-03 Hiroki Takeda , Takahiro Tanaka

Light experiences a non-uniformly moving medium as an effective gravitational field, endowed with an effective metric tensor $\tilde{g}^{\mu \nu}=\eta^{\mu \nu}+(n^2-1)u^\mu u^\nu$, $n$ being the refractive index and $u^\mu$ the…

General Relativity and Quantum Cosmology · Physics 2009-01-14 I. Brevik , G. Halnes

The images of many distant galaxies are displaced, distorted and often multiplied by the presence of foreground massive galaxies near the line of sight; the foreground galaxies act as gravitational lenses. Commonly, the lens equation, which…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Simonetta Frittelli , Thomas P. Kling , Ezra T. Newman

Surveys with submillimetre telescopes are revealing large numbers of gravitationally lensed high-redshift sources. I describe how, in practice, these lensed systems could be simultaneously used to estimate the values of cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-08 Stephen Eales

General Relativity describes the trajectories of light-rays through curved spacetime near a massive object. In addition to gravitational lensing, we include an absorbing dielectric medium given by a complex refractive index known as the…

General Relativity and Quantum Cosmology · Physics 2024-07-31 Adam Rogers

We investigate gravitational microlensing of point-like lenses surrounded by diffuse gas clouds. Besides gravitational bending, one must also consider refraction and absorption phenomena. According to the cloud density, the light curves may…

Astrophysics · Physics 2009-11-07 V. Bozza , Ph. Jetzer , L. Mancini , G. Scarpetta

This paper aims to investigate the astrophysical applicability of the electrically and magnetically charged black hole solutions obtained in a model of nonlinear electrodynamics proposed by Kruglov (Ann. Phys. Berlin 2017, 529, 170073).…

General Relativity and Quantum Cosmology · Physics 2020-02-18 O. Gurtug , M. Mangut

We continue our study of the optical properties of the solar gravitational lens (SGL). Taking the next step beyond representing it as an idealized monopole, we now characterize the gravitational field of the Sun using an infinite series of…

General Relativity and Quantum Cosmology · Physics 2021-03-30 Slava G. Turyshev , Viktor T. Toth
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