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Related papers: Weak Gravitational Lensing in Fourth Order Gravity

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We study weak gravitational lensing around a compact object with arbitrary quadrupole moment in the presence of plasma. The studied compact objects are considered to be spherically symmetric. The additional parameter $\epsilon$ regulating…

General Relativity and Quantum Cosmology · Physics 2018-07-16 Hrishikesh Chakrabarty , Askar B. Abdikamalov , Ahmadjon A. Abdujabbarov , Cosimo Bambi

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

Due to the intrinsic properties of neutrinos, the gravitational lens effect for neutrino should be more colorful and meaningful than the normal lens effect of photon. Other than the oscillation experiments operated at terrestrial…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Luo Xin-Lian

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

We explore a new realisation of the galactic scale dynamics via gravitational lensing phenomenon in power-law $f(R)$ gravity theory of the type $f(R)\propto R^{1+\delta}$ with $\delta<<1$ for interpreting the clustered dark matter effects.…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-05 Vipin Kumar Sharma , Bal Krishna Yadav , Murli Manohar Verma

An exact solution is obtained for the gravitational bending of light in static, spherically symmetric metrics which includes the Schwarzschild-de Sitter spacetime and also the Mannheim-Kazanas metric of conformal Weyl gravity. From the…

General Relativity and Quantum Cosmology · Physics 2017-01-06 Yen-Kheng Lim , Qing-hai Wang

The contribution of the cosmological constant to the deflection angle and the time delays are derived from the integration of the gravitational potential as well as from Fermat's Principle. The findings are in agreement with recent results…

Astrophysics · Physics 2008-12-18 Mustapha Ishak

We study the strong gravitational lensing on the equatorial plane of a quasi-Kerr compact object with arbitrary quadrupole moments which can be used to model the super-massive central object of the galaxy. We find that, when the quadrupolar…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Changqing Liu , Songbai Chen , Jiliang Jing

We investigate light propagation in self-gravitating systems composed of an axially symmetric, stationary, rotating dust fluid. These configurations are intrinsically relativistic, sustained entirely by their rotation, since no compact or…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Matteo Luca Ruggiero , Davide Astesiano

The study of light lensed by cosmic matter has yielded much information about astrophysical questions. Observations are explained using geometrical optics following a ray-based description of light. After deflection the lensed light…

Instrumentation and Methods for Astrophysics · Physics 2023-06-22 Valeria Rodriguez-Fajardo , Thao P. Nguyen , Kiyan S. Hocek , Jacob M. Freedman , Enrique J. Galvez

In this paper we apply the strong deflection limit approach to investigate the gravitational lensing phenomena beyond general relativity. This is accomplished by considering the lensing effects related to black hole solutions that emerge…

General Relativity and Quantum Cosmology · Physics 2016-10-13 R. T. Cavalcanti , A. Goncalves da Silva , Roldao da Rocha

We derive the metric of a circular chiral vorton in the weak field limit. The object is self-supporting by means of its chiral current. A conical singularity with deficit angle, identical to that of straight string with the same linear mass…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Leonardus B. Putra , H. S. Ramadhan

A covariant reformulation of General Relativity is briefly considered from three points of view: geometrodynamics, Lagrange-Euler field theory, and gauge field theory. From a geometrodynamics perspective, a definition of the reference frame…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alexander Poltorak

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

In this article, we develop a formalism which is different from the standard lensing scenario and is necessary for understanding lensing by gravitational fields which arise as solutions of the effective Einstein equations on the brane. We…

General Relativity and Quantum Cosmology · Physics 2008-12-30 Supratik Pal , Sayan Kar

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

We generalize the $f(R)$ type gravity models by assuming that the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar $R$ and of the matter Lagrangian $L_m$. We obtain the gravitational field equations in the…

General Relativity and Quantum Cosmology · Physics 2011-02-09 Tiberiu Harko , Francisco S. N. Lobo

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

In this paper, we use the Gauss Bonnet theorem to obtain the deflection angle by the photons coupled to Weyl tensor in a Schwarzschild black hole and Schwarzschild-like black hole in bumblebee gravity in the weak limit approximation. To do…

General Relativity and Quantum Cosmology · Physics 2018-10-31 Ali Övgün , Kimet Jusufi , Izzet Sakalli

The purpose of this paper is twofold. First, we introduce a geometric approach to study the circular orbit of a particle in static and spherically symmetric spacetime based on Jacobi metric. Second, we apply the circular orbit to study the…

General Relativity and Quantum Cosmology · Physics 2020-06-29 Zonghai Li , Guodong Zhang , Ali Övgün
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