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A Simpson-Visser spacetime has two nonnegative parameters $a$ and $m$ and its metric is correspond with (i) a Schwarzschild metric for $a=0$ and $m\neq0$, (ii) a regular black hole metric for $a<2m$, (iii) a one-way traversable wormhole…

General Relativity and Quantum Cosmology · Physics 2021-01-27 Naoki Tsukamoto

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

In this work, we theoretically investigate strong gravitational lensing effects and evaluate various lensing observables of a static, spherically symmetric solution in the context of effective quantum gravity (EQG). Among the three types of…

General Relativity and Quantum Cosmology · Physics 2026-03-16 Suvankar Paul

We investigate the gravitational lensing effects of a static spherically symmetric black hole (BH) within the framework of the revised Deser-Woodard (D-W) nonlocal gravity. By analyzing the deflection angle in both the weak and strong field…

General Relativity and Quantum Cosmology · Physics 2026-01-26 Haida Li , Xiangdong Zhang

In this paper we have investigated the gravitational lensing phenomenon in the strong field regime for a regular, charged, static, non-linear black hole having a electrodynamics source. We have obtained the angle of deflection and compared…

General Relativity and Quantum Cosmology · Physics 2023-11-09 Tuhina Manna , Farook Rahaman , Sabiruddin Molla , Jhumpa Bhadra , Hasrat Hussain Shah

According to the no-hair theorem, stationary black holes are uniquely characterized by their mass, charge, and angular momentum. In this paper, we explore quantum hair by deriving the quantum-corrected black hole metric within the…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Sojeong Cheong , Wontae Kim

Here we provide shadow images of a Kerr-like black hole (BH) in cold dark matter (CDM) halo illuminated with a celestial light source and a thin accretion disk. The impact of spin parameter, critical density and the scale radius on the…

General Relativity and Quantum Cosmology · Physics 2025-05-13 Xiao-Xiong Zeng , Chen-Yu Yang , M. Israr Aslam , Rabia Saleem , Sadia Aslam

This study investigates the visual characteristics of a rotating black hole (BH) within the fabric of $4$D Einstein-Gauss-Bonnet gravity illuminated with two illumination models, such as a celestial light sphere and a thin accretion disk.…

High Energy Astrophysical Phenomena · Physics 2026-04-22 Muhammad Israr Aslam , Manahil Ali , Abdul Malik Sultan , Xiao-Xiong Zeng , Sultan Hussain

In this paper, we study a self-dual black hole (BH) in Loop Quantum Gravity (LQG), analyzing both timelike and null geodesics. Using observational data from Mercury's perihelion shift and the orbit of the S2 star around Sagittarius…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Tursunali Xamidov , Javokhir Sharipov , Sanjar Shaymatov

We investigate how central black holes (BHs) inhabited in galactic dark halos could affect strong gravitational lensing. The distribution of integral lensing probability with image separations are calculated for quasars of redshift 1.5 by…

Astrophysics · Physics 2009-11-07 Da-Ming Chen

The recent Event Horizon Telescope (EHT) observations of the M87* have led to a surge of interest in studying the shadow of black holes. Besides, investigation of time evolution and lifetime of black holes helps us to veto/restrict some…

General Relativity and Quantum Cosmology · Physics 2023-02-14 S. H. Hendi , Kh. Jafarzade , B. Eslam Panah

In this study, we review some current studies on Gravitational Lensing for black holes, mainly in the context of general relativity. We mainly focus on the analytical studies related to lensing with references to observational results. We…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Abhishek Chowdhuri , Saptaswa Ghosh , Arpan Bhattacharyya

We study gravitational lensing by a Reissner-Nordstrom (RN) black hole in the weak field limit. We obtain the basic equations for the deflection angle and time delay and find analytical expressions for the positions and amplifications of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Sereno

We analytically investigate the shadows cast by rotating black holes in the asymptotically safe gravity (ASG) by deriving complete null geodesics and observables using the Hamilton-Jacobi equation and Carter separable method. It turns out…

General Relativity and Quantum Cosmology · Physics 2020-07-13 Rahul Kumar , Balendra Pratap Singh , Sushant G. Ghosh

We propose a theoretical principle to measure the mass, spin and direction of spin axis of Kerr black holes (BHs) through observing 2 quantities of the spinning strong gravitational lens effect of BHs. Those observable quantities are…

High Energy Astrophysical Phenomena · Physics 2017-05-17 Hiromi Saida

In this paper, we study the weak gravitational lensing in the spacetime of rotating regular black hole geometries such as Ayon-Beato-Garc\'ia (ABG), Bardeen, and Hayward black holes. We calculate the deflection angle of light using the…

General Relativity and Quantum Cosmology · Physics 2018-06-12 Kimet Jusufi , Ali Övgün , Joel Saavedra , P. A. González , Yerko Vásquez

Lensing probabilities of quasars with image separations greater than \Delta\theta and flux density ratios less than q_{\mathrm{r}} are calculated by foreground dark matter halos in a flat, cosmological constant dominated (\LambdaCDM)…

Astrophysics · Physics 2009-11-07 Da-Ming Chen

This paper investigates the shadow images of rotating charged black holes in Kalb-Ramond (KR) gravity, using an accretion disk that is both optically and geometrically thin and located on the equatorial plane as the light source model. The…

General Relativity and Quantum Cosmology · Physics 2025-08-12 Chen-Yu Yang , Ke-Jian He , Xiao-Xiong Zeng , Li-Fang Li

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