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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…

The effect of gravitational wave of extremely low frequency on time delays between different locations on the Einstein ring in a lens system with an aligned source-deflector-observer configuration is investigated. The observer will observe…

General Relativity and Quantum Cosmology · Physics 2021-11-05 Wenshuai Liu

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

We consider a Kerr black hole acting as a gravitational deflector within the geometrical optics, and point source approximations. The Kerr black hole gravitational lens geometry consisting of an observer and a source located far away and…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Samuel E. Vázquez , Ernesto P. Esteban

Deflection of light by gravity was predicted by General Relativity and observationaly confirmed in 1919. In the following decades various aspects of the gravitational lens effect were explored theoretically, among them the possibility of…

Astrophysics · Physics 2015-06-24 Joachim Wambsganss

Using the linear theory of perturbations in General Relativity, we express a set of consistency relations that can be observationally tested with current and future large scale structure surveys. We then outline a stringent…

Astrophysics · Physics 2009-11-13 Yong-Seon Song , Olivier Doré

A new geometric method to determine the deflection of light in the equatorial plane of the Kerr solution is presented, whose optical geometry is a surface with a Finsler metric of Randers type. Applying the Gauss-Bonnet theorem to a…

General Relativity and Quantum Cosmology · Physics 2015-06-05 M. C. Werner

This article investigates the signatures of various models of dark energy on weak gravitational lensing, including the complementarity of the linear and non-linear regimes. It investigates quintessence models and their extension to…

Astrophysics · Physics 2009-11-10 Carlo Schimd , Jean-Philippe Uzan , Alain Riazuelo

We derive general relativistic Gaussian equations for osculating elements for orbits under the influence of a perturbing force without any restrictions in an underlying Schwarzschild space-time. Such a formulation provides a way to describe…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Oleksii Yanchyshen , Eva Hackmann , Claus Lämmerzahl

We examine the gravitational lensing signatures of a Hayward-like regular black hole and its potential observational distinction from a Schwarzschild black hole. In the weak-field limit, the deflection angle includes a small positive…

General Relativity and Quantum Cosmology · Physics 2026-04-17 Chen-Hung Hsiao , Limei Yuan , Yidun Wan

Exotic objects such as the Ellis wormhole are expected to act as gravitational lenses. Much like their nonexotic counterparts, information about these lenses can be found by considering the strong and weak lensing fields they induce. In…

General Relativity and Quantum Cosmology · Physics 2022-09-12 Evan J. Arena

A number of alternatives to general relativity exhibit gravitational screening in the non-linear regime of structure formation. We describe a set of algorithms that can produce weak lensing maps of large scale structure in such theories and…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-15 Nicolas Tessore , Hans A. Winther , R. Benton Metcalf , Pedro G. Ferreira , Carlo Giocoli

Weak gravitational lensing provides a unique method to directly measure the distribution of mass in the universe. Because the distortions induced by lensing in the shape of background galaxies are small, the measurement of weak lensing…

Astrophysics · Physics 2009-11-06 Alexandre Refregier , David Bacon

We estimate the changes in solar system tests of general relativity when "dark energy" arises from a Weyl scaling invariant action, using the modified Schwarzschild-like spherically symmetric solution obtained in this case by Adler and…

General Relativity and Quantum Cosmology · Physics 2023-01-11 Stephen L. Adler

Konoplya and Zhidenko have proposed recently a rotating non-Kerr black hole metric beyond General Relativity and make an estimate for the possible deviations from the Kerr solution with the data of GW 150914. We here study the strong…

General Relativity and Quantum Cosmology · Physics 2016-11-11 Shangyun Wang , Songbai Chen , Jiliang Jing

This paper investigates off-equatorial plane deflections and gravitational lensing of both null signals and massive particles in Kerr spacetime in the weak deflection limit, with the finite distance effect of the source and detector taken…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Tingyuan Jiang , Xiaoge Xu , Junji Jia

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

Gravitationally lensed curved arcs provide a wealth of information about the underlying lensing distortions. Extracting precise lensing information from extended sources is a key component in many studies aiming to answer fundamental…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-29 Simon Birrer

In general relativity, the Kerr metric uniquely represents the geometry surrounding an isolated, rotating black hole. An identification of significant non-Kerr features in some astrophysical source would then provide a `smoking-gun' for the…

General Relativity and Quantum Cosmology · Physics 2020-08-07 Arthur G Suvorov

Attempts to constrain the Hubble constant using the strong gravitational lens system Q0957+561 are limited by systematic uncertainties in the mass model, since the time delay is known very precisely. One important systematic effect is the…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-11 R. Nakajima , G. M. Bernstein , R. Fadely , C. R. Keeton , T. Schrabback
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