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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…

宇宙学与河外天体物理 · 物理学 2009-11-09 Hugh Garsden , Geraint F. Lewis

We discuss the phenomenology of gravitational lensing in the purely metric $f\left(\chi\right)$ gravity, an $f(R)$ gravity where the action of the gravitational field depends on the source mass. We focus on the strong lensing regime in…

宇宙学与河外天体物理 · 物理学 2017-07-05 M. C. Campigotto , A. Diaferio , X. Hernandez , L. Fatibene

An exact solution is obtained for the gravitational bending of light in static, spherically symmetric metrics which includes the Schwarzschild-de Sitter spacetime and also the Mannheim-Kazanas metric of conformal Weyl gravity. From the…

广义相对论与量子宇宙学 · 物理学 2017-01-06 Yen-Kheng Lim , Qing-hai Wang

Most problems in gravitational lensing require numerical solutions. The most frequent types of problems are (1) finding multiple images of a single source and classifying the images according to their properties like magnification or…

天体物理学 · 物理学 2007-05-23 Matthias Bartelmann

We discuss weak lensing characteristics in the gravitational field of a compact object in the low-energy approximation of fourth order f(R) gravity theory. The particular solution is characterized by a gravitational strength parameter…

广义相对论与量子宇宙学 · 物理学 2013-12-05 Zsolt Horváth , László Á. Gergely , David Hobill , Salvatore Capozziello , Mariafelicia De Laurentis

Gravitational lensing is the phenomenon arising when light rays are deflected by the mass between the source and the observer. Largely magnified and highly distorted images of background galaxies are formed by these angular deflections if…

宇宙学与河外天体物理 · 物理学 2025-07-02 Atınç Çağan Şengül

Adopting the strong field limit approach, we investigate the strong gravitational lensing of a spherically symmetric spacetime in the Einstein-Proca theory. With the strong field limit coefficient, three observable quantities are obtained,…

综合物理 · 物理学 2015-07-19 Guoping Li , Yan Zhang , Li Zhang , Zhongwen Feng , Xiaotao Zu

A generalized lens equation for weak gravitational fields in Schwarzschild metric and valid for finite distances of source and observer from the light deflecting body is suggested. The magnitude of neglected terms in the generalized lens…

天体物理仪器与方法 · 物理学 2015-05-28 Sven Zschocke

Gravitational lensing is investigated in the weak field limit of fourth order gravity in which the Lagrangian of the gravitational field is modified by replacing the Ricci scalar curvature R with an analytical expression $f(R)$. Considering…

天体物理学 · 物理学 2009-11-11 S. Capozziello , V. F. Cardone , A. Troisi

Observations of gravitational lenses in strong gravitational fields give us a clue to understanding dark compact objects. In this paper, we extend a method to obtain a deflection angle in a strong deflection limit provided by Bozza [Phys.…

广义相对论与量子宇宙学 · 物理学 2016-12-05 Naoki Tsukamoto

The gravitational lensing of gravitational waves should be treated in the wave optics instead of the geometrical optics when the wave length $\lambda$ of the gravitational waves is larger than the Schwarzschild radius of the lens mass $M$.…

天体物理学 · 物理学 2009-11-10 Ryuichi Takahashi

An overview is given on those theoretical gravitational lensing results that can be formulated in a spacetime setting, without assuming that the gravitational fields are weak and that the bending angles are small. The first part is devoted…

广义相对论与量子宇宙学 · 物理学 2016-11-15 Volker Perlick

This paper investigates gravitational lensing effects in the presence of plasma in the strong deflection limit, which corresponds to light rays circling around a compact object and forming higher-order images. While previous studies of this…

广义相对论与量子宇宙学 · 物理学 2025-05-26 Fabiano Feleppa , Valerio Bozza , Oleg Yu. Tsupko

The gravitational lensing of relativistic and nonrelativistic neutral massive particles in the black-bounce-Schwarzschild black hole spacetime is investigated in the strong deflection limit. Beginning with the explicit equations of motion…

广义相对论与量子宇宙学 · 物理学 2026-02-05 Guansheng He , Jiaxu Huang , Zhongwen Feng , Ghulam Mustafa , Wenbin Lin

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…

广义相对论与量子宇宙学 · 物理学 2025-06-19 A. R. Soares , C. F. S. Pereira , R. L. L. Vitória , Marcos V. de S. Silva , H. Belich

In a strong gravitational lensing system, the distorted light from a source is analysed to infer the properties of the lens. However, light emitted by the lens itself can contaminate the image of the source, introducing systematic errors in…

Gravitational lensing is one of the most impressive celestial phenomena, which has interesting behaviors in its strong field limit. Near such limit, Bozza finds that the deflection angle of light is well-approximated by a logarithmic term…

广义相对论与量子宇宙学 · 物理学 2021-09-29 Xiao-Jun Gao , Ji-Ming Chen , Hongsheng Zhang , Yihao Yin , Ya-Peng Hu

Strongly gravitational lensing systems (SGL) encodes cosmology information in source/lens distance ratios $\mathcal{D}_{\rm obs}=\mathcal{D}_{\rm ls}/\mathcal{D}_{\rm s}$, which can be used to precisely constrain cosmological parameters. In…

宇宙学与河外天体物理 · 物理学 2019-12-05 Tonghua Liu , Shuo Cao , Jia Zhang , Shuaibo Geng , Yuting Liu , Xuan Ji , Zong-Hong Zhu

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

This paper reviews a phenomenological approach to the gravitational lensing by exotic objects such as the Ellis wormhole lens, where exotic lens objects may follow a non-standard form of the equation of state or may obey a modified gravity…

广义相对论与量子宇宙学 · 物理学 2017-11-07 Hideki Asada