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In this work, gravitational lensing in the weak and strong field limits is investigated for black hole spacetime within the framework of Hu-Sawicki $f(R)$ gravity. We employ the Ishihara et al. approach for weak lensing and adopt Bozza's…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Gayatri Mohan , Nashiba Parbin , Umananda Dev Goswami

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…

Astrophysics · Physics 2009-11-11 S. Capozziello , V. F. Cardone , A. Troisi

We investigate in detail the weak-field gravitational lensing of a relativistic neutral massive particle induced by a regular black-bounce-Schwarzschild black hole proposed by Simpson and Visser. Starting with the calculation of the…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Guansheng He , Yi Xie , Chunhua Jiang , Wenbin Lin

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…

General Relativity and Quantum Cosmology · Physics 2024-01-10 Ednaldo L. B. Junior , Francisco S. N. Lobo , Manuel E. Rodrigues , Henrique A. Vieira

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…

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…

General Relativity and Quantum Cosmology · Physics 2026-04-17 Chen-Hung Hsiao , Limei Yuan , Yidun Wan

We study the strong gravitational lensing on the equatorial plane of a quasi-Kerr compact object with arbitrary quadrupole moments which can be used to model the super-massive central object of the galaxy. We find that, when the quadrupolar…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Changqing Liu , Songbai Chen , Jiliang Jing

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

Recently, a non-trivial $4D$ Einstein-Gauss-Bonnet (EGB) theory of gravity, by rescaling the GB coupling parameter as $\alpha/(D-4)$, was formulated in \cite{Glavan:2019inb}, which bypasses Lovelock's theorem and avoids Ostrogradsky…

General Relativity and Quantum Cosmology · Physics 2020-09-17 Shafqat Ul Islam , Rahul Kumar , Sushant G. Ghosh

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 revisit the gravitational lensing of light or gravitational waves by Schwarzschild black hole in geometric optics. Instead of a single massless particle, we investigate the collective behavior of a congruence of light/gravitational rays,…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Zhao Li , Xiao Guo , Tan Liu , Tao Zhu , Wen Zhao

In this manuscript, we provide a comprehensive study of gravitational lensing by dark compact objects predicted by a Modified Gravity (MOG) based on the Scalar-Vector-Tensor action, and the aim is to analyze new insights into the nature of…

General Relativity and Quantum Cosmology · Physics 2025-03-07 Nagina Rehman , Zoe C. S. Chan , Mubasher Jamil , Mustapha Azreg-Aïnou

We study weak gravitational lensing around a compact object with arbitrary quadrupole moment in the presence of plasma. The studied compact objects are considered to be spherically symmetric. The additional parameter $\epsilon$ regulating…

General Relativity and Quantum Cosmology · Physics 2018-07-16 Hrishikesh Chakrabarty , Askar B. Abdikamalov , Ahmadjon A. Abdujabbarov , Cosimo Bambi

Compact objects with magnetic dipole are considered as gravitational lenses. The presence of strong magnetic field near the photon sphere can affect the trajectory of light. We compute the deflection angle near the photon sphere on the…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Jin Young Kim

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

We model massive compact objects in galactic nuclei as stationary, axially-symmetric naked singularities in the Einstein-massless scalar field theory and study the resulting gravitational lensing. In the weak deflection limit we study…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Galin N. Gyulchev , Stoytcho S. Yazadjiev

For a general class of analytic $f(R,R_{\alpha\beta}R^{\alpha\beta},R_{\alpha\beta\gamma\delta}R^{\alpha\beta\gamma\delta})$ we discuss the gravitational lensing in the Newtonian Limit of theory. From the properties of Gauss Bonnet…

General Relativity and Quantum Cosmology · Physics 2015-05-30 A. Stabile , An. Stabile

Adopting the strong field limit approach, we studied the properties of strong field gravitational lensing in the deformed H\v{o}rava-Lifshitz black hole and obtained the angular position and magnification of the relativistic images.…

General Relativity and Quantum Cosmology · Physics 2009-08-13 Songbai Chen , Jiliang Jing

Observation indicates that many nearby galaxies host supermassive central black holes. Modelling Bardeen models in four-dimensional Einstein-Gauss-Bonnet (4D EGB) gravity, with additional parameters $\tilde{\alpha}$ and charge $q$, as…

General Relativity and Quantum Cosmology · Physics 2022-07-15 Shafqat Ul Islam , Sushant G. Ghosh , Sunil D. Maharaj

It is known that a relative translational motion between the deflector and the observer affects gravitational lensing. In this paper, a lens equation is obtained to describe such effects on actual lensing observables. Results can be easily…

Astrophysics · Physics 2008-11-26 M. Sereno
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