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An overview is given on those theoretical gravitational lensing results that can be formulated in a spacetime setting, without assuming that the gravitational fields are weak and that the bending angles are small. The first part is devoted…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Volker Perlick

We discuss construction and observational properties of wormholes obtained by connecting two Reissner-Nordstrom spacetimes with distinct mass and charge parameters. These objects are spherically symmetric, but not reflection-symmetric, as…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Maciek Wielgus , Jiri Horak , Frederic Vincent , Marek Abramowicz

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

Recently, a non-trivial $4D$ Einstein-Gauss-Bonnet (EGB) theory of gravity, by rescaling the GB coupling parameter as $\alpha/(D-4)$, was formulated in \cite{Glavan:2019inb}, which bypasses Lovelock's theorem and avoids Ostrogradsky…

General Relativity and Quantum Cosmology · Physics 2020-09-17 Shafqat Ul Islam , Rahul Kumar , Sushant G. Ghosh

Visser has suggested traversable 3-dimensional wormholes that could plausibly form naturally during Big Bang inflation. A wormhole mouth embedded in high mass density might accrete mass, giving the other mouth a net *negative* mass of…

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

We reexamine the light deflection by an Ellis wormhole. The bending angle as a function of the ratio between the impact parameter and the throat radius of the wormhole is obtained in terms of a complete elliptic integral of the first kind.…

General Relativity and Quantum Cosmology · Physics 2012-08-20 Koki Nakajima , Hideki Asada

In this work, we consider a static wormhole in Bopp-Podolsky electrodynamics and convert it into its rotating counterpart by reducing it into Morris-Thorne form. We further study the null geodesics and effective potential along with the…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Muhammad Ali Raza , Francisco Tello-Ortiz , M. Zubair , Y. Gómez-Leyton

Gravitational-wave (GW) scattering in strong gravitational fields is a central problem in GW lensing. Yet, conventional treatments based on asymptotic expansions suffer from divergences and become unreliable near the optical axis. In this…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Zhao Li , Shaoqi Hou , Wen Zhao

In this second paper, we develop an analytical theory of quasi-equatorial lensing by Kerr black holes. In this setting we solve perturbatively our general lens equation with displacement given in Paper I, going beyond weak-deflection Kerr…

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

In this letter, we investigate the strong gravitational lensing effects around two classes of rotating regular black holes, which behave as non-singular Minkowski core at the center. Starting from the null geodesic in the equatorial plane…

General Relativity and Quantum Cosmology · Physics 2025-01-07 Mingyu Guo , Menghe Wu , Hong Guo , Xiaomei Kuang , Fuyao Liu

If a traversable wormhole smoothly connects two different spacetimes, then the flux cannot be separately conserved in any of these spaces individually. Then objects propagating in a vicinity of a wormhole in one space must feel influence of…

General Relativity and Quantum Cosmology · Physics 2020-04-07 De-Chang Dai , Dejan Stojkovic

Based on the geodesic equation in a static spherically symmetric metric we discuss the rotation curve and gravitational lensing. The rotation curve determines one function in the metric without assuming Einstein's equations. Then lensing is…

Astrophysics of Galaxies · Physics 2011-01-26 Gunter Scharf , Gerhard Braunlich

In this work, we theoretically investigate strong gravitational lensing effects and evaluate various lensing observables of a static, spherically symmetric solution in the context of effective quantum gravity (EQG). Among the three types of…

General Relativity and Quantum Cosmology · Physics 2026-03-16 Suvankar Paul

Black holes are considered among the most fascinating objects that exist in our universe, since in the classical formalism nothing, even no light, can escape from their vicinity due to gravity. The gravitational potential causes the light…

Quantum Physics · Physics 2023-07-03 Sayan Jana , Lea Sirota

In this paper, we investigate the gravitational lensing effect and the shadow around a Schwarzschild-like black hole in metric-affine bumblebee gravity, which leads to the Lorentz symmetry breaking. We first present a generalized formalism…

General Relativity and Quantum Cosmology · Physics 2024-09-20 Xiao-Jun Gao

The effect of gravitational wave of cosmological wavelength on the gravitational lensing is investigated. When the source, deflector, and observer are aligned in a highly symmetric configuration, an Einstein ring will be observed by the…

General Relativity and Quantum Cosmology · Physics 2021-11-04 Wenshuai Liu

We determine the angle of deflection of light by the gravitational field inside and outside a spherical body with a homogeneous mass density. We show that the largest deflections, which can be measured by weak gravitational lensing, are in…

General Relativity and Quantum Cosmology · Physics 2024-08-28 Nikodem Popławski

In galaxy-galaxy strong gravitational lensing, Einstein rings are generated when the lensing galaxy has an axisymmetric lensing potential and the source galaxy is aligned with its symmetry centre along the line of sight. Using a Taylor…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-25 Jenny Wagner

Gravitational lensing and black hole shadows are one of the strongest observational evidences to prove the existence of black holes in the universe. The gravitational lensing arises due to the deflection of light by the gravitational field…

General Relativity and Quantum Cosmology · Physics 2020-10-09 Shubham Kala , Saurabh , Hemwati Nandan , Prateek Sharma