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The purpose of the current Letter is to give some relations between gravitational lensing in the strong-deflection limit and the frequencies of the quasinormal modes of spherically symmetric, asymptotically flat black holes. On the one…

General Relativity and Quantum Cosmology · Physics 2010-09-24 Ivan Zh. Stefanov , Stoytcho S. Yazadjiev , Galin G. Gyulchev

Compact objects with a light sphere such as black holes and wormholes can reflect light rays like a mirror. This gravitational lensing phenomenon is called retrolensing and it is an interesting tool to survey dark and compact objects with a…

General Relativity and Quantum Cosmology · Physics 2017-03-24 Naoki Tsukamoto , Yungui Gong

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

This paper investigates gravitational lensing effects in the presence of plasma in the strong deflection limit, which corresponds to light rays circling around a compact object and forming higher-order images. While previous studies of this…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Fabiano Feleppa , Valerio Bozza , Oleg Yu. Tsupko

Using a recently found black hole solution in the framework of the Poincar{\'e} gauge theory of gravity, we study gravitational lensing for a system where the lens is a static spherically symmetric black hole. By analyzing the equations of…

General Relativity and Quantum Cosmology · Physics 2021-10-19 Saboura Sadat Zamani , Siamak Akhshabi

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 investigate the strong gravitational lensing phenomena caused by a black hole with a dark matter halo. In this study, we examine strong gravitational lensing with two significant dark matter models: the universal rotation curve model and…

General Relativity and Quantum Cosmology · Physics 2023-11-03 Niyaz Uddin Molla , Himanshu Chaudhary , Dhruv Arora , Farruh Atamurotov , Ujjal Debnath , G. Mustafa

We examine in a semiclassical framework the deflection function of strong gravitational lensing, for static and spherically symmetric black holes, endowed with a photon sphere. From a first-order WKB analysis near the maximum of the…

General Relativity and Quantum Cosmology · Physics 2016-01-22 Bernard Raffaelli

Extreme gravitational lensing refers to the bending of photon trajectories that pass very close to supermassive black holes and that cannot be described in the conventional weak deflection limit. A complete analytical description of the…

General Relativity and Quantum Cosmology · Physics 2010-11-11 V. Bozza

The strong gravitational lensing of a regular and rotating magnetic black hole in non-minimally coupled Einstein-Yang-Mills theory is studied. We find that, with the increase of any characteristic parameters of this black hole, such as the…

General Relativity and Quantum Cosmology · Physics 2023-10-16 Ruanjing Zhang , Jiliang Jing , Zhipeng Peng , Qihong Huang

We study the strong gravitational lensing due to the Kerr black holes with angular momentum $a$ and the Kerr-Newman black holes with additional charge $Q$. We first derive the analytical expressions of the deflection angles of light rays…

General Relativity and Quantum Cosmology · Physics 2021-06-21 Tien Hsieh , Da-Shin Lee , Chi-Yong Lin

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

We study gravitational lensing by a recently proposed black hole solution in Loop Quantum Gravity. We highlight the fact that the quantum gravity corrections to the Schwarzschild metric in this model evade the `mass suppression' effects…

General Relativity and Quantum Cosmology · Physics 2015-03-16 Satyabrata Sahu , Kinjalk Lochan , D. Narasimha

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

We investigate the strong deflection limit of gravitational lensing by a Schwarzschild black hole embedded in an external gravitational field. The study of this model, analogous to the Chang & Refsdal lens in the weak deflection limit, is…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. Bozza , M. Sereno

In this work, gravitational lensing in the weak and strong field limits is investigated for black hole spacetime within the framework of Hu-Sawicki $f(R)$ gravity. We employ the Ishihara et al. approach for weak lensing and adopt Bozza's…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Gayatri Mohan , Nashiba Parbin , Umananda Dev Goswami

The properties of the relativistic rings which show up in images of a source when a black hole lies between the source and observer are examined. The impact parameters are calculated, along with the distances of closest approach of the rays…

Astrophysics · Physics 2009-06-23 G. S. Bisnovatyi-Kogan , O. Yu. Tsupko

We analyze gravitational lensing, in particular the shadow and photon rings, in the Ernst spacetime, also known as the Schwarzschild-Melvin spacetime, which describes a Schwarzschild black hole immersed in a homogenous magnetic field.…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Muhammad Haider Khan , Volker Perlick

The gravitational lensing of supermassive black holes surrounded by dark matter halo has attracted a great number of interests in recent years. However, many studies employed simplified dark matter density models, which makes it very hard…

General Relativity and Quantum Cosmology · Physics 2024-10-25 Yi-Gao Liu , Chen-Kai Qiao , Jun Tao

We investigate the influence of plasma presence on relativistic images formed by Schwarzschild black hole lensing. When a gravitating body is surrounded by a plasma, the lensing angle depends on a frequency of the electromagnetic wave due…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Oleg Yu. Tsupko , Gennady S. Bisnovatyi-Kogan