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This article is devoted to the investigation of the observational properties of the Schwarzschild black hole (BH) surrounded by a dark matter (DM) halo. Our study commences with a brief review of spacetime, including the horizon structure…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Zhiyu Dou , Akbar Davlataliev , Mirzabek Alloqulov , Ahmadjon Abdujabbarov , Bobomurat Ahmedov , Chengxun Yuan , Chen Zhou

We investigate the shadow of an exact black hole solution of Einstein's equations recently proposed by Cardoso et al., to describe a supermassive black hole immersed in a dark matter halo. We analyze and discuss the light rings and the…

General Relativity and Quantum Cosmology · Physics 2023-04-03 Sérgio V. M. C. B. Xavier , Haroldo C. D. Lima Junior , Luís C. B. Crispino

We present a framework for studying gravitational lensing in spherically symmetric spacetimes using 1+1+2 covariant methods. A general formula for the deflection angle is derived and we show how this can be used to recover the standard…

General Relativity and Quantum Cosmology · Physics 2010-02-14 Bonita de Swardt , Peter K. S. Dunsby , Chris Clarkson

In this paper the deflection angle of light by a rotating Teo wormhole spacetime is calculated in the weak limit approximation. We mainly focus on the weak deflection angle by revealing the gravitational lensing as a partially global…

General Relativity and Quantum Cosmology · Physics 2018-01-31 Kimet Jusufi , Ali Övgün

We investigate the gravitational lensing properties and the formation of relativistic images associated with black holes modeled by the Reissner-Nordstr\"om and Kerr space-time geometries. In particular, we perform numerical computations of…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Angelika Ghazale , Oliver F. Piattella

Light rays passing very close to a black hole may experience very strong deviations. Two geometries were separately considered in the recent literature: a source behind the black hole (standard gravitational lensing); a source in front of…

Astrophysics · Physics 2009-11-10 V. Bozza , L. Mancini

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

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

The gravitational lensing effects in the weak gravitational field by exotic lenses have been investigated intensively to find nonluminous exotic objects. Gravitational lensing based on 1/r^n fall-off metric, as a one-parameter model that…

General Relativity and Quantum Cosmology · Physics 2014-09-25 Naoki Tsukamoto , Takao Kitamura , Koki Nakajima , Hideki Asada

In this paper, we investigate light bending in the spacetime of regular black holes with cosmic strings in weak field limits. To do so, we apply the Gauss-Bonnet theorem to the optical geometry of the black hole; and, using the…

General Relativity and Quantum Cosmology · Physics 2019-05-29 A. Övgün

Continuing work initiated in an earlier publication [Ishihara, Suzuki, Ono, Kitamura, Asada, Phys. Rev. D {\bf 94}, 084015 (2016) ], we discuss a method of calculating the bending angle of light in a static, spherically symmetric and…

General Relativity and Quantum Cosmology · Physics 2017-02-22 Asahi Ishihara , Yusuke Suzuki , Toshiaki Ono , Hideki Asada

Adopting the strong field limit approach, we studied the properties of strong field gravitational lensing in the deformed H\v{o}rava-Lifshitz black hole and obtained the angular position and magnification of the relativistic images.…

General Relativity and Quantum Cosmology · Physics 2009-08-13 Songbai Chen , Jiliang Jing

Explicit expressions for the bending angle of light deflection arising from phenomenologically deformed black-hole metrics, subject to possible weak and strong quantum gravity effects, respectively, are obtained, by a highly effective…

General Relativity and Quantum Cosmology · Physics 2021-01-13 Chenmei Xu , Yisong Yang

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

In this manuscript, we consider the hairy Schwarzschild black hole that evades the no-hair theorem. The hair is induced by an additional source from surroundings, such as dark matter, that has a constant energy-momentum tensor(EMT). We…

General Relativity and Quantum Cosmology · Physics 2022-05-13 Sohan Kumar Jha , Anisur Rahaman

We provide a discussion on a light ray in a charged black hole solution in massive gravity. To serve the purpose, we exploit the optical geometry of the black hole solution and find the Gaussian curvature in weak gravitational lensing.…

General Relativity and Quantum Cosmology · Physics 2023-03-06 Sudhaker Upadhyay , Surajit Mandal , Yerlan Myrzakulov , Kairat Myrzakulov

In this work the space-time geometry of the halo region in spiral galaxies is obtained considering the observed flat galactic rotation curve feature, invoking the Tully-Fisher relation and assuming the presence of cold dark matter in the…

General Relativity and Quantum Cosmology · Physics 2021-07-15 Samrat Ghosh , Arunava Bhadra , Amitabha Mukhopadhyay

We investigate the gravitational lensing effect around a spherically symmetric black hole, whose metric is obtained from the Einstein field equation with electric charge and perfect-fluid dark matter contributing to its energy-momentum…

General Relativity and Quantum Cosmology · Physics 2023-04-13 Xiao-Jun Gao , Xiao-kun Yan , Yihao Yin , Ya-Peng Hu

In this article, we analyze the weak gravitational lensing in the context of Einstein-non-linear Maxwell-Yukawa black hole. To this desire, we derive the deflection angle of light by Einstein-non-linear Maxwell-Yukawa black hole using the…

General Relativity and Quantum Cosmology · Physics 2020-10-21 Wajiha Javed , Muhammad Bilal Khadim , Ali Övgün

The gravitational field of supermassive black holes is able to strongly bend light rays emitted by nearby sources. When the deflection angle exceeds $\pi$, gravitational lensing can be analytically approximated by the so-called strong…

General Relativity and Quantum Cosmology · Physics 2008-11-26 V. Bozza , G. Scarpetta