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We develop an analytic eikonal description of perturbations for four-dimensional regular black holes in quasi-topological gravity. Using first-order Schutz--Will WKB together with a small-coupling expansion and a large-$\ell$ expansion, we…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Alexey Dubinsky

This paper investigates the novel phenomenon of gravitational lensing experienced by gravitational waves traveling past a Schwarzschild black hole perturbed by a specific, first-order, polar gravitational wave. We utilize the Gauss-Bonnet…

General Relativity and Quantum Cosmology · Physics 2024-08-23 Reggie C. Pantig , Ali Övgün

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…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Rocco D'Agostino , Vittorio De Falco

We analyze gravitational lensing, in particular the shadow and photon rings, in the Ernst spacetime, also known as the Schwarzschild-Melvin spacetime, which describes a Schwarzschild black hole immersed in a homogenous magnetic field.…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Muhammad Haider Khan , Volker Perlick

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 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…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. Bozza , F. De Luca , G. Scarpetta

A charged black hole was predicted by the Einstein--Horndeski--Maxwell theory. In order to provide its observational signatures, we investigate its weak and strong deflection gravitational lensings. We find its weak deflection lensing…

General Relativity and Quantum Cosmology · Physics 2019-05-15 Cheng-Yi Wang , Yu-Fu Shen , Yi Xie

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

The bell-like ringdown of the gravitational field in the last stage of the merging of massive black holes is now routinely detected on earth by the last generation of gravitational wave detectors. Its spectrum is interpreted as a sum of…

Gravitational lensing constitutes one of the most direct observational manifestations of spacetime curvature and provides a powerful probe of compact astrophysical objects. In this work, we present a comprehensive analysis of the bending of…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Partha Pratim Basumallick , Saheb Das , Bhaswati Mandal , Subhadip Sau

We examine in a semiclassical framework the deflection function of strong gravitational lensing, for static and spherically symmetric black holes, endowed with a photon sphere. From a first-order WKB analysis near the maximum of the…

General Relativity and Quantum Cosmology · Physics 2016-01-22 Bernard Raffaelli

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

Gravitational lensing is a well known phenomenon predicted by the General Theory of Relativity. It is now a well-developed observational technique in astronomy and is considered to be a fundamental tool for acquiring information about the…

Astrophysics · Physics 2009-11-10 F. De Paolis , A. Geralico , G. Ingrosso , A. A. Nucita , A. Qadir

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…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Guansheng He , Jiaxu Huang , Zhongwen Feng , Ghulam Mustafa , Wenbin Lin

In this article, we study regular scale-dependent black holes as gravitational lenses. We obtain the deflection angle in the strong deflection limit, from which we calculate the positions and the magnifications of the relativistic images.…

General Relativity and Quantum Cosmology · Physics 2019-07-11 Carlos M. Sendra

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

This work aims to explore the gravitational consequences of a recently proposed black hole solution presented in the literature [Phys. Dark Univ. 50 (2025) 102061]. We initiate our analyzes by taking into account the horizon structure,…

General Relativity and Quantum Cosmology · Physics 2025-09-18 A. A. Araújo Filho , N. Heidari , Iarley P. Lobo

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

We study gravitational lensing by a recently proposed black hole solution in Loop Quantum Gravity. We highlight the fact that the quantum gravity corrections to the Schwarzschild metric in this model evade the `mass suppression' effects…

General Relativity and Quantum Cosmology · Physics 2015-03-16 Satyabrata Sahu , Kinjalk Lochan , D. Narasimha

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…

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