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We study the gravitational lensing effects of a static, asymptotically flat black hole with primary scalar hair in Beyond Horndeski gravity, focusing on the strong lensing regime. Recently, in Ref. [1], we placed constraints on the scalar…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Mohsen Fathi

In this manuscript, we consider the hairy Schwarzschild black hole that evades the no-hair theorem. The hair is induced by an additional source from surroundings, such as dark matter, that has a constant energy-momentum tensor(EMT). We…

General Relativity and Quantum Cosmology · Physics 2022-05-13 Sohan Kumar Jha , Anisur Rahaman

Recent times witnessed a surge of interest in strong gravitational lensing by black holes due to the Event Horizon Telescope (EHT) results, which suggest comparing the black hole lensing in general relativity and modified gravity theories.…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Shafqat Ul Islam , Sushant G. Ghosh

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

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

In this article we study gravitational lensing by non-rotating and asymptotically flat black holes in Horndeski theory. By adopting the strong deflection limit, we calculate the deflection angle, from which we obtain the positions and the…

General Relativity and Quantum Cosmology · Physics 2017-11-27 Javier Badía , Ernesto F. Eiroa

We investigate the strong gravitational lensing phenomena caused by a black hole with a dark matter halo. In this study, we examine strong gravitational lensing with two significant dark matter models: the universal rotation curve model and…

General Relativity and Quantum Cosmology · Physics 2023-11-03 Niyaz Uddin Molla , Himanshu Chaudhary , Dhruv Arora , Farruh Atamurotov , Ujjal Debnath , G. Mustafa

The Event Horizon Telescope (EHT) collaboration recently unveiled the first image of the supermassive black hole M87*, which exhibited a ring of angular diameter $\theta_{d}=42 \pm 3 \mu as$, a circularity deviation $\Delta C \leq 0.1$, and…

General Relativity and Quantum Cosmology · Physics 2022-06-17 Misba Afrin , Sushant G. Ghosh

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

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

The strong gravitational lensing for charged black holes with scalar hair in Einstein-Maxwell-Dilaton theory are studied. We find, with the increase of scalar hair, that the radius of the photon sphere, minimum impact parameter, angular…

General Relativity and Quantum Cosmology · Physics 2018-05-23 Ruanjing Zhang , Jiliang Jing

We compare and contrast gravitational lensing, in the strong-field limit, by photon sphere in spherically symmetric regular electrically charged (REC) black holes ($0<b\leq b_E$) and with those by corresponding REC no-horizon spacetimes…

General Relativity and Quantum Cosmology · Physics 2022-10-21 Jitendra Kumar , Shafqat Ul Islam , Sushant G. Ghosh

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

We investigate the astrophysical consequences of black holes in quadratic gravity, characterized by the parameters $S_0$, $S_2$, $m_0$ and $m_2$, in addition to the black hole mass $M$. To evaluate the physical validity of the fundamental…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Somi Aktar , Niyaz Uddin Molla , Farook Rahaman , G. Mustafa

In this paper, we investigate the strong gravitational lensing effects and optical appearances around a spherically symmetric regular black hole, whose metric is derived from a non-singular collapsing dust ball model in asymptotically safe…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Xiao-Jun Gao

The lack of rotating black holes, typically found in nature, hinders testing modified gravity from astrophysical observations. We present the axially symmetric counterpart of an existing spherical hairy black hole in Horndeski gravity…

General Relativity and Quantum Cosmology · Physics 2022-06-27 Rahul Kumar Walia , Sunil D. Maharaj , Sushant G. Ghosh

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 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

Horizon-scale images of black holes provide a potential probe of fundamental physics, including tests of gravity and black hole hair. To assess the impact of scalar hair on accretion-flow imaging self-consistently, we construct an…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Qian Wan , Yehui Hou , Minyong Guo

We analyze the light rays around a static hairy black hole in Horndeski gravity with the use of ray-tracing procedure. We find that a stronger Horndeski hairy parameter corresponds to larger photon sphere as well as critical impact…

General Relativity and Quantum Cosmology · Physics 2023-06-30 Xi-Jing Wang , Xiao-Mei Kuang , Yuan Meng , Bin Wang , Jian-Pin Wu
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