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We present here a detailed derivation of an explicit spin-dependent expression for the bending angle of light as it traverses in the equatorial plane of a spinning black hole. We show that the deflection produced in the presence of the…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Savitri V. Iyer , Edward C. Hansen

We reexamine the light deflection by an Ellis wormhole. The bending angle as a function of the ratio between the impact parameter and the throat radius of the wormhole is obtained in terms of a complete elliptic integral of the first kind.…

General Relativity and Quantum Cosmology · Physics 2012-08-20 Koki Nakajima , Hideki Asada

In this paper, we argue that one can calculate the weak deflection angle of light in the background of Einstein-Maxwell-Dilaton-Axion black hole using the Gauss-Bonnet theorem. To support this, the optical geometry of the black hole with…

General Relativity and Quantum Cosmology · Physics 2019-11-19 W. Javed , R. Babar , A. Övgün

We study exact stationary and axisymmetric solutions describing charged rotating black holes localized on a 3-brane in the Randall-Sundrum braneworld. The charges of the black holes are considered to be of two types, the first being an…

High Energy Physics - Theory · Physics 2009-11-11 A. N. Aliev , A. E. Gumrukcuoglu

In this paper, we first use the optical metrics of black-bounce traversable wormholes to calculate the Gaussian curvature. Then we use the Gauss-Bonnet theorem to obtain the weak deflection angle of light from the black-bounce traversable…

General Relativity and Quantum Cosmology · Physics 2020-11-10 Ali Övgün

In the present work, we theoretically investigate light deflection in the weak and strong field regimes for two regular spacetimes with corrections from loop quantum gravity. We treat analytically the expansions for both limits and use them…

General Relativity and Quantum Cosmology · Physics 2025-06-19 A. R. Soares , C. F. S. Pereira , R. L. L. Vitória , Marcos V. de S. Silva , H. Belich

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

We study the deflection angle of a light ray as it traverses on the equatorial plane of a charged spinning black hole. We provide detailed analysis of the light ray's trajectory, and derive the closed-form expression of the deflection angle…

General Relativity and Quantum Cosmology · Physics 2020-04-15 You-Wei Hsiao , Da-Shin Lee , Chi-Yong Lin

Analytical series expansions for the bending of light in the equatorial plane of a Kerr black hole are presented in both the strong and weak deflection regimes. It is critical that these are known in analytical form so further analysis can…

General Relativity and Quantum Cosmology · Physics 2009-08-04 Savitri V. Iyer , Edward C. Hansen

The standard treatment of gravitational lensing by a point mass lens M is based on a weak-field deflection angle a = 2/x, where x = (r c^2)/(2 G M) with r the distance of closest approach to the mass of a lensed light ray. It was shown that…

Astrophysics · Physics 2009-11-07 A. O. Petters

In this work, we develop a general perturbative procedure to find the off-equatorial plane deflections in the weak deflection limit in general stationary and axisymmetric spacetimes, allowing the existence of the generalized Carter…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Xinguang Ying , Junji Jia

Strong gravitational lensing occurs when photons pass through the vicinity of a black hole. We investigate this phenomenon in the context of a gravitational-wave event, specifically when a black hole is settling into its final state. The…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Zhen Zhong , Vitor Cardoso , Yifan Chen

We investigate gravitational lensing by \textit{special} Buchdahl inspired metric with the Buchdahl parameter $\tilde{k}$. In strong deflection limit, we derive the deflection angle analytically for the light rays that diverge as photons…

General Relativity and Quantum Cosmology · Physics 2025-01-08 Shafia Maryam , Mubasher Jamil , Mustapha Azreg-Aïnou , Zoe C S Chan

In the present work, we analyze the gravitational deflection for a light beam in the weak and strong field regimes for the gravitational analogue geometry of an acoustic black hole (ABH) and acoustic black-bounce (ABB). Motivationally, the…

General Relativity and Quantum Cosmology · Physics 2025-09-09 C. F. S. Pereira , A. R. Soares , M. V. de S. Silva , R. L. L. Vitória , H. Belich

The cross sections of black holes with tidal charge predicted in the context of the Randall--Sundrum brane-world scenario are computed considering the massless scalar field. Results obtained for black holes with different tidal-charge…

General Relativity and Quantum Cosmology · Physics 2018-11-06 Ednilton S. de Oliveira

The gravitational lensing effect at higher order under weak-field approximation is believed to be important to distinguish black holes and other compact objects such as wormholes. The deflection angle of a generic wormhole is difficult to…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Tingqi Cai , Hyat Huang , Zun Wang , Mian Zhu

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

This paper investigates charged particle deflection in a Kerr spacetime background with a dipole magnetic field, focusing on the equatorial plane and employing the weak field approximation. We employ the Jacobi-Randers metric to unify the…

General Relativity and Quantum Cosmology · Physics 2023-12-04 Zonghai Li , Junji Jia

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

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