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The presence of a quintessence-like field can influence the black hole shadow through three primary mechanisms: the dynamics of accretion flows, the trajectories of photons, and the motion of observers. Unlike standard shadow analyses that…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Ji-Wen Li , Zi-Liang Wang , Tao-Tao Sui

The Kerr black holes possess a photon region with prograde and retrograde orbits radii, respectively, $M\leq r_p^-\leq 3M$ and $3M\leq r_p^+\leq 4M$, and thereby always cast a closed photon ring or a shadow silhouette for $a\leq M$. For…

General Relativity and Quantum Cosmology · Physics 2021-03-25 Rahul Kumar , Sushant G. Ghosh

One of the most remarkable predictions of the general theory of relativity is the existence of black-hole "photonspheres", compact null hypersurfaces on which massless particles can orbit the central black hole. We prove that every…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Shahar Hod

The optical appearance of a body compact enough to feature an unstable bound orbit, when surrounded by an accretion disk, is expected to be dominated by a luminous ring of radiation enclosing a central brightness depression typically known…

General Relativity and Quantum Cosmology · Physics 2023-09-25 Gonzalo J. Olmo , João Luís Rosa , Diego Rubiera-Garcia , Diego Sáez-Chillón Gómez

A hairy Schwarzschild black hole describes the deformation of Schwarzschild black hole due to including additional sources. It is found that depending on the hairy parameters, the photons' configurations around this black hole can be…

General Relativity and Quantum Cosmology · Physics 2024-03-26 Yuan Meng , Xiao-Mei Kuang , Xi-Jing Wang , Bin Wang , Jian-Pin Wu

In this work, we investigate the critical behavior of photon rings in the Kerr-Bertotti-Robinson spacetime, describing a rotating black hole immersed in a background magnetic field. We analyze the radial and angular motions of photons under…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Xi Wan , Zhenyu Zhang , Fang-Stars Wei , Yehui Hou , Bin Chen

In an earlier paper we have analytically determined the photon regions and the shadows of black holes of the Pleba\'nski class of metrics which are also known as the Kerr--Newman--NUT--(anti-)deSitter metrics. These metrics are…

General Relativity and Quantum Cosmology · Physics 2015-10-27 Arne Grenzebach , Volker Perlick , Claus Lämmerzahl

The bright ring-like structures observed in the images of M87* and SgrA* captured by the Event Horizon Telescope strongly support the validity of general relativity. Lensed images of the emission region, often referred to as photon rings in…

High Energy Physics - Phenomenology · Physics 2025-12-22 Kiana Salehi , Avery Broderick

In this article we extend a recent theorem proven by Hod (Phys. Lett. B, {\bf 727}, 345--348, 2013) to $n$-dimensional Einstein and Einstein-Gauss-Bonnet theories, which gives an upper bound for the photon sphere radii of spherically…

General Relativity and Quantum Cosmology · Physics 2016-09-01 Emanuel Gallo , J. R. Villanueva

Recent interferometric observations by the Event Horizon Telescope have resolved the horizon-scale emission from sources in the vicinity of nearby supermassive black holes. Future space-based interferometers promise to measure the "photon…

General Relativity and Quantum Cosmology · Physics 2024-06-06 Alejandro Cárdenas-Avendaño , Alexandru Lupsasca , Hengrui Zhu

Ultra-compact objects describe horizonless solutions of the Einstein field equations which, like black-hole spacetimes, possess null circular geodesics (closed light rings). We study {\it analytically} the physical properties of spherically…

General Relativity and Quantum Cosmology · Physics 2018-11-21 Shahar Hod

We develop an analytical formalism for studying optical analogues of spherically symmetric black-hole spacetimes. We demonstrate the exact similarity between the electromagnetic wave equations in an inhomogeneous medium in flat spacetime…

General Relativity and Quantum Cosmology · Physics 2012-09-26 Suraj S. Hegde , C. V. Vishveshwara

In this paper, we theoretically investigate the deflection of light, lensing equations, topological properties of photon rings, and accretion disk characteristics in the spacetime of a holonomy-corrected Schwarzschild black hole surrounded…

General Relativity and Quantum Cosmology · Physics 2025-09-10 Faizuddin Ahmed , Shubham Kala

We present a new method for the analysis of images, a fundamental task in observational astronomy. It is based on the linear decomposition of each object in the image into a series of localised basis functions of different shapes, which we…

Astrophysics · Physics 2008-11-26 Alexandre Refregier

The data from the event horizon telescope have provided a novel view of the vicinity of the horizon of a black hole (BH), by imaging the region around the light-ring. They have also raised hopes for measuring in the near future, features of…

General Relativity and Quantum Cosmology · Physics 2022-06-07 Konstantinos Kostaros , George Pappas

We calculate the time delay between different relativistic images formed by black hole gravitational lensing in the strong field limit. For spherically symmetric black holes, it turns out that the time delay between the first two images is…

General Relativity and Quantum Cosmology · Physics 2009-11-10 V. Bozza , L. Mancini

This study investigates photon orbits around Kerr-MOG black holes. The equation of photon of motion around the Kerr-MOG black hole is derived by solving the Hamilton-Jacobi equation, expressed as a sixth-order polynomial involving the…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Shi-Yu Li , Song-Shan Luo , Zhong-Wen Feng

In this work, we develop a generalized perturbative framework for gravitational shadows in static, spherically symmetric spacetimes. Building upon the recent two-parameter perturbative framework of Kobialko et al. \cite{Kobialko:2024zhc},…

High Energy Physics - Theory · Physics 2025-12-29 Reggie C. Pantig , Ali Övgün

Metric of axially symmetric asymptotically flat black holes in an arbitrary metric theory of gravity can be represented in the general form which depends on infinite number of parameters. We constrain this general class of metrics by…

General Relativity and Quantum Cosmology · Physics 2021-05-20 R. A. Konoplya , A. Zhidenko

Black hole images obtained by very long baseline interferometry (VLBI) by the Event Horizon Telescope are a new tool for testing general relativity in super-strong gravitational fields. These images demonstrated a ring-like structure which…

Instrumentation and Methods for Astrophysics · Physics 2025-02-06 S. V. Chernov , M. A. Shchurov , I. I. Bulygin , A. G. Rudnitskiy