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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 the deflection angle up to $O(m^2a)$ due to a Kerr gravitational lens with mass $m$ and specific angular momentum $a$. It is known that at the linear order in $m$ and $a$ the Kerr lens is observationally equivalent to the…

Astrophysics · Physics 2009-11-07 Hideki Asada , Masumi Kasai , Tatsuya Yamamoto

In the present work, we theoretically investigate gravitational lensing in the spacetime of a holonomy corrected Schwarzschild black hole. Analytical expressions for the light deflection angle are obtained in both the weak field limit and…

General Relativity and Quantum Cosmology · Physics 2024-08-07 A. R. Soares , C. F. S. Pereira , R. L. L. Vitória

The theory of gravitational lensing is reviewed from a spacetime perspective, without quasi-Newtonian approximations. More precisely, the review covers all aspects of gravitational lensing where light propagation is described in terms of…

General Relativity and Quantum Cosmology · Physics 2010-10-19 Volker Perlick

The number of gravitational arcs systems detected is increasing quickly and should even increase at a faster rate in the near future. This wealth of new gravitational arcs requires the development of a purely automated method to reconstruct…

Instrumentation and Methods for Astrophysics · Physics 2025-02-03 Christophe Alard

In strong gravitational lens systems, the light bending is usually dominated by one main galaxy, but may be affected by other mass along the line of sight (LOS). Shear and convergence can be used to approximate the contributions from less…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-09 Curtis McCully , Charles R. Keeton , Kenneth C. Wong , Ann I. Zabludoff

The deflection of light in the strong field limit is an important test for alternative theories of gravity. However, solutions for the metric that allow for analytic computations are not always available. We implement a hybrid…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Javier Chagoya , C. Ortiz , Benito Rodríguez , Armando A. Roque

We give the formulation of the gravitational lensing theory in the strong field limit for a Schwarzschild black hole as a counterpart to the weak field approach. It is possible to expand the full black hole lens equation to work a simple…

General Relativity and Quantum Cosmology · Physics 2015-06-25 V. Bozza , S. Capozziello , G. Iovane , G. Scarpetta

The gravitational deflection of test particles including light, due to a radially moving Kerr-Newman black hole with an arbitrary constant velocity being perpendicular to its angular momentum, is investigated. In harmonic coordinates, we…

General Relativity and Quantum Cosmology · Physics 2020-07-27 Guansheng He , Wenbin Lin

Various authors have investigated the problem of light deflection by radially moving gravitational lenses - with inconsistent results. In this paper we generalize the calculations for arbitrary lens velocities and show that, to first order…

Astrophysics · Physics 2007-05-23 Olaf Wucknitz , Ulrich Sperhake

In the present work, we investigate the gravitational lensing effects of two quantum-modified black hole models recently proposed in effective quantum gravity. The light deflection angles are calculated for both the weak-field and…

General Relativity and Quantum Cosmology · Physics 2024-11-20 Hao Liu , Meng-Yun Lai , Xiao-Yin Pan , Hyat Huang , De-Cheng Zou

The bending angle of light is a central quantity in the theory of gravitational lensing. We develop an analytical perturbation framework for calculating the bending angle of light rays lensed by a Schwarzschild black hole. Using a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Savitri V. Iyer , Arlie O. Petters

We investigate imaging point sources with a monopole gravitational lens, such as the Solar Gravitational Lens in the geometric optics limit. We compute the light amplification of the lens used in conjunction with a telescope featuring a…

Instrumentation and Methods for Astrophysics · Physics 2023-11-08 Viktor T. Toth

We study the gravitational lensing scenario where the lens is a spherically symmetric charged black hole (BH) surrounded by quintessence matter. The null geodesic equations in the curved background of the black hole are derived. The…

General Relativity and Quantum Cosmology · Physics 2017-06-21 Mustapha Azreg-Aïnou , Sebastian Bahamonde , Mubasher Jamil

We consider gravitational lensing under a weak-field approximation and in a strong deflection limit by a Bronnikov-Kim wormhole with the same metric as the one of a wormhole which has been suggested in Einstein-Dirac-Maxwell theory. The…

General Relativity and Quantum Cosmology · Physics 2022-03-08 Naoki Tsukamoto

In this geometrical approach to gravitational lensing theory, we apply the Gauss-Bonnet theorem to the optical metric of a lens, modelled as a static, spherically symmetric, perfect non-relativistic fluid, in the weak deflection limit. We…

General Relativity and Quantum Cosmology · Physics 2008-12-18 G W Gibbons , M C Werner

We model massive dark objects at centers of many galaxies as Schwarzschild black hole lenses and study gravitational lensing by them in detail. We show that the ratio of mass of a Schwarzschild lens to the differential time delay between…

General Relativity and Quantum Cosmology · Physics 2009-04-13 K. S. Virbhadra

Gravitational lens models, some of which might act as if a concave lens, have been recently investigated by using a static and spherically symmetric modified spacetime metric that depends on the inverse distance to the $n$-th power…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Koki Nakajima , Koji Izumi , Hideki Asada

A complete manual search has been carried out of the list of 285423 objects, nearly all of them galaxies, identified in the COSMOS field that are brighter than I=25. Two certain and one highly probable new gravitational lenses are found, in…

Astrophysics · Physics 2009-11-13 Neal Jackson

The extension of the singular perturbative approach to the second order is presented in this paper. The general expansion to the second order is derived. The second order expansion is considered as a small correction to the first order…

Astrophysics of Galaxies · Physics 2016-07-06 C. Alard
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