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I propose a spatial-mode demultiplexing (SPADE) measurement scheme for the far-field imaging of spatially incoherent optical sources. For any object too small to be resolved by direct imaging under the diffraction limit, I show that SPADE…

Optics · Physics 2017-03-01 Mankei Tsang

Strong gravitational lensing from black holes results in the formation of relativistic images, in particular, relativistic Einstein rings. For objects with event horizons, the radius of the unstable light ring (photon sphere) is the lowest…

General Relativity and Quantum Cosmology · Physics 2019-05-21 Rajibul Shaikh , Pritam Banerjee , Suvankar Paul , Tapobrata Sarkar

The lensing at large deflection angles caused by a Schwarzschild black hole for the case of a nonminimal coupling between gravitation and electromagnetism is examined. We show that photons follow an effective geometry, which displays an…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Santiago E. P. Bergliaffa , Edson Elias de Souza Filho , Rodrigo Maier

Interpreting horizon-scale observations of astrophysical black holes demands a general understanding of null geodesics in the Kerr spacetime. These may be divided into two classes: "direct" rays that primarily determine the observational…

General Relativity and Quantum Cosmology · Physics 2020-02-18 Samuel E. Gralla , Alexandru Lupsasca

Recently, a black hole model in loop quantum gravity has been proposed by Lewandowski, Ma, Yang and Zhang (Phys. Rev. Lett. \textbf{130}, 101501 (2023)). The metric tensor of the quantum black hole (QBH) is a suitably modified Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2024-01-30 Jing-Peng Ye , Zhi-Qing He , Ai-Xu Zhou , Zi-Yang Huang , Jia-Hui Huang

In this paper, we first consider null geodesics of a class of charged, spherical and asymptotically flat hairy black holes in an Einstein-Maxwell-scalar theory with a non-minimal coupling for the scalar and electromagnetic fields.…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Qingyu Gan , Peng Wang , Houwen Wu , Haitang Yang

Very-long baseline interferometric observations have resolved structure on scales of only a few Schwarzschild radii around the supermassive black holes at the centers of our Galaxy and M87. In the near future, such observations are expected…

High Energy Astrophysical Phenomena · Physics 2015-06-23 Tim Johannsen

In a recent work PRD 106, L021501 (2022), a new geometric approach is proposed to obtain the photon sphere (circular photon orbit) and the black hole shadow radius. In this approach, photon spheres and the black hole shadow radius are…

General Relativity and Quantum Cosmology · Physics 2022-11-11 Chen-Kai Qiao

The photon sphere, a hypersurface of null circular geodesics, plays a fundamental role in characterizing black hole spacetimes, influencing phenomena such as black hole shadows, gravitational lensing, and quasinormal modes. In this work, we…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Yong Song , Jiaqi Fu , Yiting Cen

Photons emitted by light sources in the neighbourhood of a black hole can wind several times around it before fleeing towards the observer. For spherically symmetric black holes, two infinite sequences of images are created for any given…

General Relativity and Quantum Cosmology · Physics 2021-10-27 F. Aratore , V. Bozza

We study the strong gravitational lensing in the background of a rotating non-Kerr compact object with a deformed parameter $\epsilon$ and an unbound rotation parameter $a$. We find that the photon sphere radius and the deflection angle…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Songbai Chen , Jiliang Jing

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…

Black hole images are theoretically predicted (under mild astrophysical assumptions) to display a stack of lensed "photon rings" that carry information about the underlying spacetime geometry. Despite vigorous efforts, no such ring has been…

General Relativity and Quantum Cosmology · Physics 2023-09-25 Alejandro Cárdenas-Avendaño , Alexandru Lupsasca

We investigate asymptotic Schwarzschild exterior solutions in the context of modified gravity theories, specifically within the framework of $f(R)$ gravity, where the asymptotic behavior recovers the standard Schwarzschild solution of…

General Relativity and Quantum Cosmology · Physics 2025-12-18 Miguel Aparicio Resco

In this study, we investigate the geodesic structure, gravitational lensing/mirroring phenomena, and scalar perturbations of deformed AdS-Schwarzschild black holes with global monopoles, incorporating both ordinary and phantom…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Faizuddin Ahmed , Ahmad Al-Badawi , İzzet Sakallı

We calculate the interferometric signatures of black hole photon rings beyond the universal regime by perturbatively including the effects of finite ring width. Our approach first slices a thick ring into a series of thin rings, each of…

High Energy Astrophysical Phenomena · Physics 2024-12-03 He Jia , Eliot Quataert , Alexandru Lupsasca , George N. Wong

The direct detection of a bright, ring-like structure in horizon-resolving images of M87* by the Event Horizon Telescope is a striking validation of general relativity. The angular size and shape of the ring is a degenerate measure of the…

High Energy Astrophysical Phenomena · Physics 2022-03-09 Avery E. Broderick , Paul Tiede , Dominic W. Pesce , Roman Gold

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…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Savitri V. Iyer , Arlie O. Petters

Light that grazes a black-hole event horizon can loop around one or more times before escaping again, resulting for distance observers in an infinite sequence of ever fainter and more delayed images near the black hole shadow. In the case…

General Relativity and Quantum Cosmology · Physics 2024-01-02 Ashish Kumar Meena , Prasenjit Saha

We study gravitational lensing of light by hairy black holes, which, in a certain parameter regime, can possess two photon spheres of different size outside the event horizon. In particular, we focus on higher-order images of a point-like…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Guangzhou Guo , Xin Jiang , Peng Wang , Houwen Wu