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Observations of gravitational lenses in strong gravitational fields give us a clue to understanding dark compact objects. In this paper, we extend a method to obtain a deflection angle in a strong deflection limit provided by Bozza [Phys.…

General Relativity and Quantum Cosmology · Physics 2016-12-05 Naoki Tsukamoto

This paper studies the deflection of charged particles in a dipole magnetic field in Schwarzschild spacetime background in the weak field approximation. To calculate the deflection angle, we use Jacobi metric and Gauss-Bonnet theorem. Since…

General Relativity and Quantum Cosmology · Physics 2022-12-28 Zonghai Li , Wei Wang , Junji Jia

In this paper, we study the weak gravitational deflection angle of relativistic massive particles by the Kerr-like black hole in the bumblebee gravity model. In particular, we focus on weak field limits and calculate the deflection angle…

General Relativity and Quantum Cosmology · Physics 2020-01-23 Zonghai Li , Ali Övgün

In this paper, we study a regular Bardeen black hole as a gravitational lens. We find the strong deflection limit for the deflection angle, from which we obtain the positions and magnifications of the relativistic images. As an example, we…

General Relativity and Quantum Cosmology · Physics 2011-03-29 Ernesto F. Eiroa , Carlos M. Sendra

The deflection angle $\Delta\phi$ of light rays by the gravitational field of a spherical system $M(r)$ is calculated using the MOdified Newtonian Dynamics (MOND). It is shown that $\Delta\phi$ with an impact parameter $r_0$ can be…

Astrophysics · Physics 2016-08-30 Q. Bo , X. P. Wu , Z. L. Zou

We compute the deflection angle to order (m/r_0)^2 and m/r_0*Lambda r_0^2 for a light ray traveling in a flat LambdaCDM cosmology which encounters a completely condensed mass region. We use a Swiss cheese model for the inhomogeneities and…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Ronald Kantowski , Bin Chen , Xinyu Dai

While the Hubble constant can be derived from observable time delays between images of lensed quasars, the result is often highly sensitive to assumptions and systematic uncertainties in the lensing model. Unlike most previous authors we…

Astrophysics · Physics 2009-10-31 HongSheng Zhao , Danny Pronk

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

We investigate the gravitational lensing scenario due to Schwarzschild-like black hole surrounded by quintessence (Kiselev black hole). We work for the special case of Kiselev black hole where we take the state parameter…

General Relativity and Quantum Cosmology · Physics 2015-10-21 Azka Younas , Mubasher Jamil , Sebastian Bahamonde , Saqib Hussain

We examine a class of charged black holes in scalar-tensor gravity as gravitational lenses. We find the deflection angle in the strong deflection limit, from which we obtain the positions and the magnifications of the relativistic images.…

General Relativity and Quantum Cosmology · Physics 2014-12-01 Ernesto F. Eiroa , Carlos M. Sendra

Recently, we proposed a novel charged wormhole spacetime based on Yoshiaki Sofue's exponential dark matter density profile, referred to as the Charged Galactic Wormhole. Our previous work explored the deflection of light and massive…

General Physics · Physics 2025-10-09 Md Khalid Hossain , Farook Rahaman

We study the weak gravitational lensing effect of Non-Bocharova-Bronnikov-Melnikov-Bekenstein (BBMB) black hole in new massive conformal gravity. We analyze the deflection angle of light caused by new massive conformal gravity by using the…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Muhammad Yasir , Xia Tiecheng , Farzan Mushtaq , Kazuharu Bamba

The gravitational lensing of relativistic and nonrelativistic neutral massive particles in the black-bounce-Schwarzschild black hole spacetime is investigated in the strong deflection limit. Beginning with the explicit equations of motion…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Guansheng He , Jiaxu Huang , Zhongwen Feng , Ghulam Mustafa , Wenbin Lin

According to the theory of general relativity, masses deflect light in a way similar to convex glass lenses. This gravitational lensing effect is astigmatic, giving rise to image distortions. These distortions allow to quantify cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-21 Matthias Bartelmann , Matteo Maturi

We investigate the solution of Maxwell's equations in curved spacetime within the framework of Modified Gravity (MOG). We show that besides the null-geodesic treatment of photons in MOG, using Maxwell's equations and covariant coupling with…

General Relativity and Quantum Cosmology · Physics 2018-11-14 S. Rahvar , J. W. Moffat

We give the lens equation for light deflections caused by point mass condensations in an otherwise spatially homogeneous and flat universe. We assume the signal from a distant source is deflected by a single condensation before it reaches…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Bin Chen , Ronald Kantowski , Xinyu Dai

Braneworld black holes existing today may be of primordial origin, or may even be produced in high energy particle collisions in the laboratory and in cosmic ray showers as well. These black holes obey a modified mass-radius relationship…

Astrophysics · Physics 2008-11-26 A. S. Majumdar , Nupur Mukherjee

We investigate the deflection angle in a strong deflection limit for a marginally unstable photon sphere in a general asymptotically flat, static and spherically symmetric spacetime under some assumptions to calculate observables. The…

General Relativity and Quantum Cosmology · Physics 2020-11-12 Naoki Tsukamoto

Using a new geometrical approach introduced by Gibbons and Werner we study the deflection angle by Reissner-Nordstr\"{o}m black holes in the background spacetimes with a global monopole and a cosmic string. By calculating the corresponding…

General Relativity and Quantum Cosmology · Physics 2015-12-18 Kimet Jusufi

The null geodesic equations that describe motion of photons in Kerr spacetime are solved exactly in the presence of the cosmological constant $\Lambda$. The exact solution for the deflection angle for generic light orbits (i.e. non-polar,…

General Relativity and Quantum Cosmology · Physics 2011-04-08 G. V. Kraniotis
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