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With the imaging and characterization of the horizon-scale images of M87* and Sgr A* by the Event Horizon Telescope (EHT), it has become possible to resolve the near-horizon region of astrophysical black holes. As a result, there has been…

High Energy Astrophysical Phenomena · Physics 2023-07-31 Avery E. Broderick , Kiana Salehi , Boris Georgiev

In this article, we extend the strong deflection limit to calculate the deflection angle for a class of geometries which are asymptotically locally flat. In particular, we study the deflection of light in the surroundings of spherical black…

General Relativity and Quantum Cosmology · Physics 2018-08-22 Fabrizio Canfora , Ernesto F. Eiroa , Carlos M. Sendra

In this paper, we investigate so-called spherical photon orbits around a deformed Kerr black hole with an extra deformation parameter. The change in the azimuth $\Delta\varphi$ and the angle of dragging of nodes per revolution $\Delta\Omega…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Changqing Liu , Chikun Ding , Jiliang Jing

Large light deflection angles are produced in the strong gravitational field regions around neutron stars and black holes. In the case of binary systems, part of the photons emitted from the companion star towards the collapsed object are…

Astrophysics · Physics 2015-06-24 S. Campana , A. Parodi , L. Stella

In this paper, we calculate the analytical solutions for the radii of planar and polar spherical photon orbits around a rotating black hole that is associated with quintessential field and cloud of strings. This includes a full analytical…

General Relativity and Quantum Cosmology · Physics 2023-01-05 Mohsen Fathi , Marco Olivares , J. R. Villanueva

Circular photon orbit and black hole shadow are significantly important issues in physics and astronomy, and a number of breakthroughs have been witnessed in recent years. Conventionally, the stable and unstable circular photon orbits are…

General Relativity and Quantum Cosmology · Physics 2024-09-12 Chen-Kai Qiao , Ming Li

Photonspheres, curved hypersurfaces on which massless particles can perform closed geodesic motions around highly compact objects, are an integral part of generic black-hole spacetimes. In the present compact paper we prove, using…

General Relativity and Quantum Cosmology · Physics 2024-01-01 Shahar Hod

We present new, simple analytical formulas to accurately describe light rays in spherically symmetric static spacetimes. These formulas extend those introduced by Beloborodov and refined by Poutanen for the Schwarzschild metric. Our…

General Relativity and Quantum Cosmology · Physics 2024-06-25 Jonathan Claros , Emanuel Gallo

Exact formulas relating the radii of the spherical photon orbits to the black hole's rotation parameter and the effective inclination angle of the orbit have been known only for equatorial and polar orbits up to now. Here we provide exact…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Aydin Tavlayan , Bayram Tekin

This work investigates observational properties, namely the shadow and photon ring structure, of emission profiles originating near compact objects. In particular, we consider a distorted and deformed compact object characterised by two…

High Energy Astrophysical Phenomena · Physics 2025-06-16 Shokoufe Faraji , João Luís Rosa

In this work we investigate the effect of complexity factor on the formation of photon spheres for spherically symmetric compact objects. The complexity factor obtained from the orthogonal splitting of the Riemann curvature tensor connects…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Subhasis Nalui , Subhra Bhattacharya

The near-horizon region of a black hole impacts linear (LP) and circular polarization (CP) through strong lensing of photons, adding large-scale symmetries and anti-symmetries to the polarized image. To probe the signature of lensing in…

High Energy Astrophysical Phenomena · Physics 2025-07-14 Aditya Tamar , Daniel C. M. Palumbo

This paper investigates the use of gravitational time delays of macro-lenses to constrain a possible photon mass. The time delay between the 2 compact images of a source of massive photons is computed. Explicit expressions are given for…

High Energy Astrophysical Phenomena · Physics 2017-12-06 J-F. Glicenstein

From the Schwarzschild metric we obtain the higher-order terms (up to 20-th order) for the deflection of light around a massive object using the Lindstedt-Poincar\'e method to solve the equation of motion of a photon around the stellar…

General Relativity and Quantum Cosmology · Physics 2017-01-20 Carlos Rodriguez , Carlos Marín

The motion of photons around black holes determines the shape of shadow and match the ringdown properties of a perturbed black hole. Observations of shadows and ringdown waveforms will reveal the nature of black holes. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2021-07-29 Song Li , Ahmadjon A. Abdujabbarov , Wen-Biao Han

We revisit the classic system of a spherically symmetric black hole in general relativity (i.e., a Schwarzschild black hole) surrounded by a geometrically thin accretion disk. Our purpose is to examine whether one can determine three…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Kenta Hioki , Umpei Miyamoto

This paper investigates gravitational lensing in the strong deflection limit, focusing particularly on higher-order images produced near compact objects such as black holes and their observable impact through the visibility function.…

General Relativity and Quantum Cosmology · Physics 2025-08-06 Fabiano Feleppa , Fabio Aratore , Valerio Bozza

We consider a class of static and spherically symmetric black hole geometries endowed with a photon sphere. On the one hand, we show that close to the photon sphere, a massless scalar field theory exhibits a simple dynamical…

General Relativity and Quantum Cosmology · Physics 2022-03-24 Bernard Raffaelli

We investigate the gravitational lensing effect around a spherically symmetric black hole, whose metric is obtained from the Einstein field equation with electric charge and perfect-fluid dark matter contributing to its energy-momentum…

General Relativity and Quantum Cosmology · Physics 2023-04-13 Xiao-Jun Gao , Xiao-kun Yan , Yihao Yin , Ya-Peng Hu

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

General Relativity and Quantum Cosmology · Physics 2026-02-25 Yong Song , Jiaqi Fu , Yiting Cen
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