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Schwarzschild black holes can produce strong gravitational lensing. The relativistic images are produced due to bending of light around the black hole. We propose a model equation to study the strong gravitational lensing. The model…

General Relativity and Quantum Cosmology · Physics 2012-08-17 Tushar Kanti Dey

We obtain static multi-polytropic wormhole solutions in the framework of GR gravity. The resulting metric is asymptotically Minkowskian, and locally that of a wormhole. We also examine gravitational lensing by the wormhole, and calculate…

General Relativity and Quantum Cosmology · Physics 2018-01-16 S. N. Sajadi , N. Riazi

We revisit the gravitational lensing of light or gravitational waves by Schwarzschild black hole in geometric optics. Instead of a single massless particle, we investigate the collective behavior of a congruence of light/gravitational rays,…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Zhao Li , Xiao Guo , Tan Liu , Tao Zhu , Wen Zhao

In this review, various researches on finding the bending angle of light deflected by a massive gravitating object which regard the Gauss-Bonnet theorem as the premise have been revised. Primarily, the Gibbons and Werner method is studied…

General Relativity and Quantum Cosmology · Physics 2021-11-05 Yashmitha Kumaran , Ali Övgün

In this paper, we study massless braneworld black holes as gravitational lenses. We find the weak and the strong deflection limits for the deflection angle, from which we calculate the positions and magnifications of the images. We compare…

General Relativity and Quantum Cosmology · Physics 2012-10-25 Ernesto F. Eiroa , Carlos M. Sendra

In the present paper, we study several aspects of gravitational lensing caused by a topologically charged Monopole/Wormhole, both in the weak field limit and in the strong field limit. We calculate the light deflection and then use it to…

General Relativity and Quantum Cosmology · Physics 2023-10-17 A. R. Soares , R. L. L. Vitória , C. F. S. Pereira

In this paper, we investigate the strong gravitational lensing effects and optical appearances around a spherically symmetric regular black hole, whose metric is derived from a non-singular collapsing dust ball model in asymptotically safe…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Xiao-Jun Gao

We investigate gravitational lensing effects of spherically symmetric black holes in Einstein Quartic Gravity (EQG). Using an approximate analytic solution obtained by continued fraction methods we consider the predictions of EQG for…

General Relativity and Quantum Cosmology · Physics 2021-01-20 H. Khodabakhshi , Robert B. Mann

We study the gravitational lensing scenario where the lens is a spherically symmetric charged black hole (BH) surrounded by quintessence matter. The null geodesic equations in the curved background of the black hole are derived. The…

General Relativity and Quantum Cosmology · Physics 2017-06-21 Mustapha Azreg-Aïnou , Sebastian Bahamonde , Mubasher Jamil

We review the theoretical aspects of gravitational lensing by black holes, and discuss the perspectives for realistic observations. We will first treat lensing by spherically symmetric black holes, in which the formation of infinite…

General Relativity and Quantum Cosmology · Physics 2014-11-20 V. Bozza

We investigate in detail the weak-field gravitational lensing of a relativistic neutral massive particle induced by a regular black-bounce-Schwarzschild black hole proposed by Simpson and Visser. Starting with the calculation of the…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Guansheng He , Yi Xie , Chunhua Jiang , Wenbin Lin

We investigate the gravitational lensing effects of a static spherically symmetric black hole (BH) within the framework of the revised Deser-Woodard (D-W) nonlocal gravity. By analyzing the deflection angle in both the weak and strong field…

General Relativity and Quantum Cosmology · Physics 2026-01-26 Haida Li , Xiangdong Zhang

This paper aims to investigate the astrophysical applicability of the electrically and magnetically charged black hole solutions obtained in a model of nonlinear electrodynamics proposed by Kruglov (Ann. Phys. Berlin 2017, 529, 170073).…

General Relativity and Quantum Cosmology · Physics 2020-02-18 O. Gurtug , M. Mangut

We study the lensing phenomena of the strong gravity regime of five-dimensional charged, equally rotating black holes with a cosmological constant, familiarly known as the Cveti\v c-L\"u-Pope black holes. These black holes are characterized…

General Relativity and Quantum Cosmology · Physics 2025-04-02 Md Sabir Ali , Shagun Kaushal , Yu-Xiao Liu

In this paper we have investigated the gravitational lensing in a spherically symmetric spacetime with torsion in the generalized Einstein-Cartan-Kibble-Sciama (ECKS) theory of gravity by considering higher order terms. The torsion…

General Relativity and Quantum Cosmology · Physics 2018-06-07 Lu Zhang , Songbai Chen , Jiliang Jing

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

Noncommutative geometry may be a starting point to a quantum gravity. We study the influence of the spacetime noncommutative parameter on the strong field gravitational lensing in the noncommutative Schwarzschild black-hole spacetime and…

General Relativity and Quantum Cosmology · Physics 2011-04-22 Chikun Ding , Shuai Kang , Chang-Yong Chen , Songbai Chen , Jiliang Jing

This chapter provides a comprehensive overview of weak gravitational lensing and its current applications in cosmology. We begin by introducing the fundamental concepts of gravitational lensing and derive the key equations for the…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-06 J. Prat , D. Bacon

We provide an analytic method to discriminate among different types of black holes on the ground of their strong field gravitational lensing properties. We expand the deflection angle of the photon in the neighbourhood of complete capture,…

General Relativity and Quantum Cosmology · Physics 2009-11-07 V. Bozza

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