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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

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

Among the higher curvature gravities, the most extensively studied theory is the so-called Einstein-Gauss-Bonnet (EGB) gravity, whose Lagrangian contains Einstein term with the GB combination of quadratic curvature terms, and the GB term…

General Relativity and Quantum Cosmology · Physics 2020-12-30 Rahul Kumar , Shafqat Ul Islam , Sushant G. Ghosh

In this paper, we study the gravitational lensing by some black hole classes within the non-linear electrodynamics in weak field limits. First, we calculate an optical geometry of the non-linear electrodynamics black hole then we use the…

General Relativity and Quantum Cosmology · Physics 2022-03-22 H. El Moumni , K. Masmar , Ali Övgün

In this paper we investigate the strong gravitational lensing in a charged squashed Kaluza-Klein black hole. We suppose that the supermassive black hole in the galaxy center can be considered by a charged squashed Kaluza-Klein black hole…

General Relativity and Quantum Cosmology · Physics 2015-06-05 J. Sadeghi , A. Banijamali , H. Vaez

Strong gravitational lensing produces multiple images of a gravitational wave (GW) signal, which can be observed by detectors as time-separated copies of the same event. It has been shown that under favourable circumstances, by combining…

General Relativity and Quantum Cosmology · Physics 2023-08-04 Harsh Narola , Justin Janquart , Leïla Haegel , K. Haris , Otto A. Hannuksela , Chris Van Den Broeck

In this paper we present an analytical treatment of gravitational lensing by Kerr black holes in the limit of very large deflection angles, restricting to observers in the equatorial plane. We accomplish our objective starting from the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. Bozza , F. De Luca , G. Scarpetta , M. Sereno

Strong gravitational lensing from black holes results in the formation of relativistic images, in particular, relativistic Einstein rings. For objects with event horizons, the radius of the unstable light ring (photon sphere) is the lowest…

General Relativity and Quantum Cosmology · Physics 2019-05-21 Rajibul Shaikh , Pritam Banerjee , Suvankar Paul , Tapobrata Sarkar

We study strong gravitational lensing due to a Schwarzschild black hole. Apart from the primary and the secondary images we find a sequence of images on both sides of the optic axis; we call them {\em relativistic images}. These images are…

Astrophysics · Physics 2009-10-31 K. S. Virbhadra , George F. R. Ellis

We investigate the Hawking radiation of massive spin-1 vector particles, which are coupled to vacuum fluctuations of a quantum field, from Rindler modified Schwarzschild black hole. Rindler acceleration is used to produce the post-general…

General Physics · Physics 2017-09-05 I. Sakalli , A. Ovgun

Gravitational lens models with negative convergence(surface mass density projected onto the lens plane) inspired by modified gravity theories, exotic matter and energy have been recently discussed in such a way that a static and…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Koji Izumi , Chisaki Hagiwara , Koki Nakajima , Takao Kitamura , Hideki Asada

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 article, we present an overview of the new developments in problems of the plasma influence on the effects of gravitational lensing, complemented by pieces of new material and relevant discussions. Deflection of light in the…

General Relativity and Quantum Cosmology · Physics 2019-05-17 Gennady S. Bisnovatyi-Kogan , Oleg Yu. Tsupko

After exactly a century since the formulation of the general theory of relativity, the phenomenon of gravitational lensing is still an extremely powerful method for investigating in astrophysics and cosmology. Indeed, it is adopted to study…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-25 Francesco De Paolis , Mosè Giordano , Gabriele Ingrosso , Luigi Manni , Achille Nucita , Francesco Strafella

We consider gravitational lensing under a weak-field approximation and in a strong deflection limit by a Bronnikov-Kim wormhole with the same metric as the one of a wormhole which has been suggested in Einstein-Dirac-Maxwell theory. The…

General Relativity and Quantum Cosmology · Physics 2022-03-08 Naoki Tsukamoto

The recent years witnessed a surge of interest of the lensing of the black holes arising from general as well as other modified theories of gravity due to the experimental data available from the EHT results. The EHT may open a new door…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Md Sabir Ali , Shagun Kaushal

The bending angle of light is a central quantity in the theory of gravitational lensing. We develop an analytical perturbation framework for calculating the bending angle of light rays lensed by a Schwarzschild black hole. Using a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Savitri V. Iyer , Arlie O. Petters

We investigate gravitational lensing in the strong deflection regime by loop quantum gravity (LQG)-motivated rotating black hole (LMRBH) metrics with an additional parameter $l$ besides mass $M$ and rotation $a$. The LMRBH spacetimes are…

General Relativity and Quantum Cosmology · Physics 2023-10-31 Jitendra Kumar , Shafqat Ul Islam , Sushant G. Ghosh

In this paper, we obtain a relation between the high-energy absorption cross section and the strong gravitational lensing for a static and spherically symmetric black hole. It provides us a possible way to measure the high-energy absorption…

High Energy Physics - Theory · Physics 2011-08-16 Shao-Wen Wei , Yu-Xiao Liu , Heng Guo

Gravitational lensing represents a powerful tool to estimate the cosmological pa- rameters and the distribution of dark matter. I will describe the main observable quantities, concentrating on strong lensing, that manifests its effect…

Astrophysics · Physics 2007-05-23 C. Tortora