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In this paper, using the recent method proposed by Ono, Ishihara and Asada (OIA) who extend the idea of Gibbons and Werner to the stationary and axisymmetric case, we apply the Gauss-Bonnet theorem to the optical metric of the non-rotating…

General Relativity and Quantum Cosmology · Physics 2018-08-23 Ali Övgün

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, the gravitational deflection of relativistic massive particles up to the second post-Minkowskian order by static and spherically symmetric wormholes is investigated in the weak-field limit. These wormholes include the…

General Relativity and Quantum Cosmology · Physics 2020-02-05 Zonghai Li , Guansheng He , Tao Zhou

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

It is well known that general relativity is an effective theory of gravity at low energy scale, and actually quantum effects cannot be ignored in the strong-field regime. As a strong gravitational object, black hole plays a key role in…

General Relativity and Quantum Cosmology · Physics 2022-03-23 Qi-Ming Fu , Xin Zhang

In this article, we extend the strong deflection limit to calculate the deflection angle for a class of geometries which are asymptotically locally flat. In particular, we study the deflection of light in the surroundings of spherical black…

General Relativity and Quantum Cosmology · Physics 2018-08-22 Fabrizio Canfora , Ernesto F. Eiroa , Carlos M. Sendra

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 study strong gravitational lensing by a specific one-parameter extension of Kerr spacetime, a Kerr-like wormhole, characterized by a single parameter specifying the throat's location. We classify the roots of the radial potential derived…

General Relativity and Quantum Cosmology · Physics 2025-02-20 Tien Hsieh , Da-Shin Lee , Chi-Yong Lin

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 consider the problem of gravitational deflection of a propagating relativistic massive particles by rotating black holes (Kerr black holes) and rotating wormholes (Teo wormholes) in the weak limit approximation. In particular we have…

General Relativity and Quantum Cosmology · Physics 2019-10-08 Kimet Jusufi

Black holes acting as gravitational lenses produce, besides the primary and secondary weak field images, two infinite sets of relativistic images. These images can be studied using the strong field limit, an analytic method based on a…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Ernesto F. Eiroa

We study the influence of phantom fields on strong field gravitational lensing. Supposing that the gravitational field of the supermassive central object of the Galaxy is described by a phantom black hole metric, we estimate the numerical…

General Relativity and Quantum Cosmology · Physics 2013-11-14 Chikun Ding , Changqing Liu , Yuanyuan Xiao , Liqun Jiang , Rong-Gen Cai

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

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

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

We propose the use of modulated spectra of astronomical sources due to gravitational lensing to probe Ellis wormholes. The modulation factor due to gravitational lensing by the Ellis wormhole is calculated. Within the geometrical optics…

General Relativity and Quantum Cosmology · Physics 2013-04-24 Chul-Moon Yoo , Tomohiro Harada , Naoki Tsukamoto

We investigate gravitational lensing by a primary photon sphere which is a sphere filled with unstable circular light orbits, and by a secondary photon sphere on a wormhole throat in a black-bounce spacetime which is suggested in [F. S. N.…

General Relativity and Quantum Cosmology · Physics 2022-02-15 Naoki Tsukamoto

We study gravitational lensing by $k-n$ generalized black-bounce space-times both in regimes of weak and strong field approximations. These metrics interpolate between regular black holes and one-way or traversable wormholes. First, we…

General Relativity and Quantum Cosmology · Physics 2025-04-29 C. Furtado , A. L. A. Moreira , J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio

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

In this work we study gravitational lensing of the wormhole in the Eddington-inspired Born-Infeld (EiBI) spacetime that incorporates with a cosmic string. It was found that the presence of cosmic string can enhance the light deflection in…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Xin-Fei Li , Lei-Hua Liu , Yan-Zhi Meng , Shu-Qing Zhong , Li-Juan Zhou