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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 lensing of relativistic neutral massive particles caused by a Kerr-Newman black hole is investigated systematically in the weak-field limit. Based on the Kerr-Newman metric in Boyer-Lindquist coordinates, we first derive…

General Relativity and Quantum Cosmology · Physics 2022-05-19 Guansheng He , Wenbin Lin

The strong gravitational lensing for charged black holes with scalar hair in Einstein-Maxwell-Dilaton theory are studied. We find, with the increase of scalar hair, that the radius of the photon sphere, minimum impact parameter, angular…

General Relativity and Quantum Cosmology · Physics 2018-05-23 Ruanjing Zhang , Jiliang Jing

We use the Ernst-Schwarzschild solution for a black hole immersed in a uniform magnetic field to estimate corrections to the bending angle and time delay due-to presence of weak magnetic fields in galaxies and between galaxies, and also…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. A. Konoplya

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 present a framework that reformulates gravitational lensing as an optical phenomenon governed by an effective refractive index, enabling exploration of modified gravity theories using undergraduate-level mathematics and optics. After…

General Relativity and Quantum Cosmology · Physics 2026-04-09 Romy Hanang Setya Budhi

In this paper we investigate the strong gravitational lansing in a charged squashed Kaluza-Klein G\"{o}del black hole. The deflection angle is considered by the logarithmic term proposed by Bozza et al. Then we study the variation of…

General Relativity and Quantum Cosmology · Physics 2015-06-17 J. Sadeghi , H. Vaez

Strong field gravitational lensings are dramatically disparate from those in the weak field by representing relativistic images due to light winds one to infinity loops around a lens before escaping. We study such a lensing caused by a…

General Relativity and Quantum Cosmology · Physics 2016-07-11 Shan-Shan Zhao , Yi Xie

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

We investigate the gravitational lensing by Bardeen black hole in cloud of strings (CoS) in strong field limit. The effect of CoS parameter $b$ has been outlined in comparison with Bardeen black hole lens. The strong deflection limit…

General Relativity and Quantum Cosmology · Physics 2025-02-28 Bijendra Kumar Vishvakarma , Shubham Kala , Sanjay Siwach

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

In this work we study gravitational lensing of neutrinos by Schwarzschild black holes. In particular, we analyze the case of a neutrino transient source associated with a gamma-ray burst lensed by a supermassive black hole located at the…

Astrophysics · Physics 2009-06-23 Ernesto F. Eiroa , Gustavo E. Romero

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

We study Bardeen-like regular black holes without Cauchy horizons via gravitational lensing. In the weak field, the deflection angle receives a positive $\ell$-dependent correction, producing a slightly larger Einstein ring. For the galaxy…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Limei Yuan , Chen-Hung Hsiao , Yidun Wan

Motivated by string theory corrections of dilatonic gravity and Born-Infeld nonlinear electromagnetic field, we consider the BTZ black holes with these two generalizations. It will be shown that the generalization to dilatonic gravity…

General Physics · Physics 2018-10-10 Seyed Hossein Hendi , Behzad Eslam Panah , Shahram Panahiyan , Mokhtar Hassaine

Gravitational lensing constitutes one of the most direct observational manifestations of spacetime curvature and provides a powerful probe of compact astrophysical objects. In this work, we present a comprehensive analysis of the bending of…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Partha Pratim Basumallick , Saheb Das , Bhaswati Mandal , Subhadip Sau

Observation indicates that many nearby galaxies host supermassive central black holes. Modelling Bardeen models in four-dimensional Einstein-Gauss-Bonnet (4D EGB) gravity, with additional parameters $\tilde{\alpha}$ and charge $q$, as…

General Relativity and Quantum Cosmology · Physics 2022-07-15 Shafqat Ul Islam , Sushant G. Ghosh , Sunil D. Maharaj

It is addressed the issue of black holes with nonlinear electromagnetic field, focussing mainly in the Born-Infeld case. The main features of these systems are described, for instance, geodesics, energy conditions, thermodynamics and…

High Energy Physics - Theory · Physics 2007-05-23 Nora Breton , Ricardo Garcia-Salcedo

In this paper, we study the gravitational lensing around the static and spherically symmetric DD black holes, which we recently derived as perturbations of the Schwarzschild geometry within the revised Deser-Woodard theory of nonlocal…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Rocco D'Agostino , Vittorio De Falco

We analyze lensing of photons and neutrinos in a gravitational field, proposing a method to include radiative effects in classical lens equations. The study uses Schwarzschild and a Reissner-Nordstrom metrics expanded at second post…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Claudio Corianò , Mario Cretì , Leonardo Torcellini
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