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In this work are reviewed several aspects of gravitational lensing produced by astrophysical bodies that strongly curve the spacetime in their vicinity. When an object with a photon sphere (e.g. a black hole) is interposed between a source…

广义相对论与量子宇宙学 · 物理学 2014-09-15 Ernesto F. Eiroa

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…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Ernesto F. Eiroa

We investigate the strong gravitational lensing for black hole with scalar charge in massive gravity. We find that the scalar charge and the type of the black hole significantly affect the radius of the photon sphere, deflection angle,…

广义相对论与量子宇宙学 · 物理学 2018-05-16 Ruanjing Zhang , Jiliang Jing , Songbai Chen

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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Savitri V. Iyer , Arlie O. Petters

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…

In this paper, we use the strong field limit approach to investigate the gravitational lensing properties of braneworld black holes. Applying this method to the supermassive black hole at the centre of our galaxy, the lensing observables…

天体物理学 · 物理学 2009-11-10 Richard Whisker

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…

广义相对论与量子宇宙学 · 物理学 2009-11-11 V. Bozza , F. De Luca , G. Scarpetta

Gravitational lensing is a powerful concept in the Astrophysics to study black holes. The gravitational field of a massive object like a galaxy or black hole bends and magnifies the light from a distant object behind it. The Schwarzchild…

高能物理 - 唯象学 · 物理学 2024-10-01 Amritansh Mehrotra , R. Kanishka

In this paper we study gravitational lensing by STU black holes. We considered extremal limit of two special cases of zero-charged and one-charged black holes, and obtain the deflection angle. We find that the black hole charge increases…

广义相对论与量子宇宙学 · 物理学 2014-01-03 Hassan Saadat

We examine the gravitational lensing signatures of a Hayward-like regular black hole and its potential observational distinction from a Schwarzschild black hole. In the weak-field limit, the deflection angle includes a small positive…

广义相对论与量子宇宙学 · 物理学 2026-04-17 Chen-Hung Hsiao , Limei Yuan , Yidun Wan

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…

广义相对论与量子宇宙学 · 物理学 2025-04-29 C. Furtado , A. L. A. Moreira , J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio

In this paper, we study the gravitational lensing around the static and spherically symmetric DD black holes, which we recently derived as perturbations of the Schwarzschild geometry within the revised Deser-Woodard theory of nonlocal…

广义相对论与量子宇宙学 · 物理学 2026-04-16 Rocco D'Agostino , Vittorio De Falco

We investigate the gravitational lensing of a Schwarzschild-de Sitter black hole with a global monopole at finite distances. In this asymptotically nonflat spacetime, the deflection angle of light is decomposed into two parts: the first…

广义相对论与量子宇宙学 · 物理学 2025-09-03 Yi Lu , Xiao-Yin Pan , Meng-Yun Lai , Qing-hai Wang

We give the formulation of the gravitational lensing theory in the strong field limit for a Schwarzschild black hole as a counterpart to the weak field approach. It is possible to expand the full black hole lens equation to work a simple…

广义相对论与量子宇宙学 · 物理学 2015-06-25 V. Bozza , S. Capozziello , G. Iovane , G. Scarpetta

In the present work, we investigate the gravitational lensing effects of two quantum-modified black hole models recently proposed in effective quantum gravity. The light deflection angles are calculated for both the weak-field and…

广义相对论与量子宇宙学 · 物理学 2024-11-20 Hao Liu , Meng-Yun Lai , Xiao-Yin Pan , Hyat Huang , De-Cheng Zou

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…

高能物理 - 理论 · 物理学 2015-03-19 Shao-Wen Wei , Yu-Xiao Liu , Chun-E Fu , Ke Yang

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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 V. Bozza , G. Scarpetta

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…

天体物理学 · 物理学 2009-10-31 K. S. Virbhadra , George F. R. Ellis

In this paper we study the gravitational lensing effect for the Schwarzschild solution with holonomy corrections. We use two types of approximation methods to calculate the deflection angle, namely the weak and strong field limits. For the…

广义相对论与量子宇宙学 · 物理学 2024-01-10 Ednaldo L. B. Junior , Francisco S. N. Lobo , Manuel E. Rodrigues , Henrique A. Vieira

Recent observational data from the Event Horizon Telescope (EHT) collaboration provide convincing realistic evidence for the existence of black hole rotation. From a phenomenological perspective, a recently proposed stable rotating regular…

广义相对论与量子宇宙学 · 物理学 2025-01-15 Chen-Hao Xie , Yu Zhang , Qi Sun , Qi-Quan Li , Peng-Fei Duan