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In this research, we use the Gibbons-Werner method (Gauss-Bonnet theorem) on the optical geometry of a black hole and wormhole, extending the calculation of the weak gravitational lensing within the Maxwell's fish eye-like profile and dark…

General Physics · Physics 2019-05-15 Ali Övgün

We study in detail gravitational lensing caused by a supermassive fermion star and compare it with lensing by a black hole of the same mass. It is argued that lensing effects, being very distinct, may shed some light on the yet unexplained…

Astrophysics · Physics 2014-10-13 Neven Bilic , Hrvoje Nikolic , Raoul D. Viollier

In this paper, we investigate the strong gravitational lensing by the stationary, axially-symmetric black hole in Kerr-Taub-NUT spacetime in the strong field limit. The deflection angle of light ray and other strong deflection limit…

High Energy Physics - Theory · Physics 2015-03-19 Shao-Wen Wei , Yu-Xiao Liu , Chun-E Fu , Ke Yang

In the present work, we theoretically investigate gravitational lensing in the spacetime of a holonomy corrected Schwarzschild black hole. Analytical expressions for the light deflection angle are obtained in both the weak field limit and…

General Relativity and Quantum Cosmology · Physics 2024-08-07 A. R. Soares , C. F. S. Pereira , R. L. L. Vitória

Static, spherically symmetric black holes and compact objects without an event horizon have unstable (stable) circular orbits of a light called photon (antiphoton) sphere. A Damour-Solodukhin wormhole has been suggested as a simple black…

General Relativity and Quantum Cosmology · Physics 2022-09-27 Naoki Tsukamoto

We generalize our previous work on gravitational lensing by a Kerr black hole in the strong deflection limit, removing the restriction to observers on the equatorial plane. Starting from the Schwarzschild solution and adding corrections up…

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

In this paper, the weak gravitational lensing phenomenon for a recently proposed rotating regular black hole with an asymptotically Minkowski core characterized by a sub-Planckian curvature was investigated. Using the Gauss-Bonnet Theorem,…

General Relativity and Quantum Cosmology · Physics 2024-11-01 Miles Angelo P. Sodejana

In this geometrical approach to gravitational lensing theory, we apply the Gauss-Bonnet theorem to the optical metric of a lens, modelled as a static, spherically symmetric, perfect non-relativistic fluid, in the weak deflection limit. We…

General Relativity and Quantum Cosmology · Physics 2008-12-18 G W Gibbons , M C Werner

The gravitational deflection of light is a critical test of modified theories of gravity. A few years ago, Gibbons and Werner introduced a definition of the deflection angle based on the Gauss-Bonnet theorem. In more recent years, Arakida…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Flavio C. Sánchez , Armando A. Roque , Benito Rodríguez , Javier Chagoya

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 derive the deflection angle up to $O(m^2a)$ due to a Kerr gravitational lens with mass $m$ and specific angular momentum $a$. It is known that at the linear order in $m$ and $a$ the Kerr lens is observationally equivalent to the…

Astrophysics · Physics 2009-11-07 Hideki Asada , Masumi Kasai , Tatsuya Yamamoto

Accelerating black holes, connected to cosmic strings could evolve to supermassive black holes. However, if they are going to take part in structure formation and resides at the center of galaxies, their acceleration should be small. This…

General Relativity and Quantum Cosmology · Physics 2023-02-17 Amjad Ashoorioon , Mohammad Bagher Jahani Poshteh , Robert B. Mann

In this letter, we have investigated the deflection angle of light by wormholes using a new geometrical method known as Gibbons-Werner method (GW). In particular we have calculated the deflection angle of light in the weak limit…

General Relativity and Quantum Cosmology · Physics 2017-08-22 Kimet Jusufi

Gravitational lensing allows us to probe the structure of matter on a broad range of astronomical scales, and as light from a distant source traverses an intervening galaxy, compact matter such as planets, stars, and black holes act as…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-09 Hugh Garsden , Geraint F. Lewis

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

Gravitational lensing properties of supermassive astrophysical objects, such as black holes and wormholes, provide the realistic way for their discovering and investigating. Various lensing effects in a wormhole spacetime have been widely…

General Relativity and Quantum Cosmology · Physics 2023-08-10 Valeria A. Ishkaeva , Sergey V. Sushkov

We study gravitational lensing of neutrinos in a Kaluza-Klein black hole spacetime and compare the oscillation probabilities of neutrinos with the case of lensing by black holes in General Relativity. We show that measuring neutrino…

General Relativity and Quantum Cosmology · Physics 2023-08-17 Hrishikesh Chakrabarty , Auttakit Chatrabhuti , Daniele Malafarina , Bhuddhanubhap Silasan , Takol Tangphati

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

Gravitational waves (GWs) from distant sources such as inspiralling and merging stellar-mass compact binaries, intermediate-mass and supermassive-binary-black-hole can be gravitationally lensed by intervening objects, ranging from stars and…

High Energy Astrophysical Phenomena · Physics 2026-05-19 Zhiwei Chen , Youjun Lu

In this paper, we investigate the gravitational lensing effect for the Schwarzschild-like black hole spacetime in the background of a Kalb-Ramond (KR) field proposed in [K. Yang et. al., Phys. Rev. D 108 (2023) 124004]. The solution is…