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This paper systematically revisits the critical orbits of test particles moving in various black hole backgrounds, including the Schwarzschild, Reissner-Nordstr\"{o}m, Kerr, and Kerr-Newman spacetimes. We identify the critical orbit cases…

General Relativity and Quantum Cosmology · Physics 2026-02-11 Ping Li , Jun Cheng , Jiang-he Yang

Black holes in General Relativity are described by space-time metrics that are simpler in comparison to non-vacuum compact objects. However, given the universality of the gravitational pull, it is expected that dark matter accumulates…

General Relativity and Quantum Cosmology · Physics 2024-07-23 Caio F. B. Macedo , João Luís Rosa , Diego Rubiera-Garcia

The Rayleigh criterion is used to study the stability of circular orbits of particles moving around static black holes surrounded by different axially symmetric structures with reflection symmetry, like disks, rings and halos. We consider…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Patricio. S. Letelier

A simple, analytical fitting-formula for a photometric light curve of a source of light orbiting around a black hole is presented. The formula is applicable for sources on a circular orbit with radius smaller than 45 gravitational radii…

Astrophysics · Physics 2009-10-28 V. Karas

The null geodesics and the distance of closest approach for photon around a rotating dyonic black hole in $\mathcal{N} = 2, U(1)^2$ gauged supergravity is studied. The phenomenon of black hole shadows with various black hole parameters has…

General Relativity and Quantum Cosmology · Physics 2021-05-27 Prateek Sharma , Hemwati Nandan , Uma Papnoi , Arindam Kumar Chatterjee

In this brief article we discuss the corrections to the photon orbits of a non-rotating black hole due to semiclassical fluctuations of the metric. It is found that the photon orbit impact parameter differences with the critical impact…

General Relativity and Quantum Cosmology · Physics 2023-12-25 Swayamsiddha Maharana , Arundhati Dasgupta

This study explores spherically symmetric non-linear electrodynamics black holes and their effects on light propagation. We derive the governing metric, revealing radial coordinate dynamics within the event horizon. We analyze photon…

General Relativity and Quantum Cosmology · Physics 2024-02-06 Akhil Uniyal , Sayan Chakrabarti , Mohsen Fathi , Ali Övgün

We consider spherically symmetric and static charged black holes in Einstein-Gauss-Bonnet-Maxwell gravities in general $D\ge 5$ dimensions and study their photon spheres and black hole shadows. We show that they all satisfy the sequence of…

General Relativity and Quantum Cosmology · Physics 2020-06-10 Liang Ma , H. Lu

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…

Recently a sequence of inequalities relating the black hole horizon, photon sphere, shadow were proposed for spherically symmetric and static black holes, providing the upper bound for given mass. In this paper, we extend the discussion to…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Xing-Hui Feng , H. Lu

We examine the shadow cast by a Kerr black hole, focusing on constraints on photons corresponding to different shadow boundaries. The photons are related to different orbital ranges and impact parameter values, creating a map of the shadow…

General Relativity and Quantum Cosmology · Physics 2024-05-24 D. Pugliese , Z. Stuchlık

The Horizon Quantum Mechanics is an approach that was previously introduced in order to analyse the gravitational radius of spherically symmetric systems and compute the probability that a given quantum state is a black hole. In this work,…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Roberto Casadio , Andrea Giugno , Andrea Giusti , Octavian Micu

This paper investigates the trajectories of light beams in a Kerr metric, which describes the gravitational field in the neighborhood of a rotating black hole. After reduction by cyclic coordinates, this problem reduces to analysis of a…

Dynamical Systems · Mathematics 2025-01-23 Ivan Bizyaev

Shadows cast by the rotating black hole in perfect fluid matter are studied using analytical method. We consider three kinds of matter with standard equation of state in Cosmology: $-1/3$ (dark matter), 0 (dust) and $1/3$ (radiation). The…

General Relativity and Quantum Cosmology · Physics 2018-10-31 Zhaoyi Xu , Xian Hou , Jiancheng Wang

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

Black holes are by definition black, and therefore cannot be directly observed by using electromagnetic radiations. Convincing identification of black holes must necessarily depend on the identification of a very specially behaving matter…

Astrophysics · Physics 2009-09-25 Sandip K. Chakrabarti

Due to the acceleration of the black hole, the circular orbits of the photons will deviate from the equatorial plane and the property of the black hole shadow will change. We find that the latitude of the circular orbit increases with the…

General Relativity and Quantum Cosmology · Physics 2021-01-20 Ming Zhang , Jie Jiang

In this work, we establish the existence conditions and a universal upper bound on the radius of stable photon spheres (SPS) outside the event horizons of static, spherically symmetric, asymptotically flat black holes surrounded by matter…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Yong Song , Jiaqi Fu , Yiting Cen

Black holes represent extreme conditions of physical laws. Being predicted about a century ago, they are now accepted as astrophysical reality by most of the scientific community. Only recently more direct evidence of their existence has…

High Energy Astrophysical Phenomena · Physics 2019-07-31 Christian Fendt

Black hole shadows are a widespread topic in astrophysics. This paper searches for an optical view of the black hole and the relationship between black hole shadow and photon sphere with curvature. We were inspired by the observations of…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Ajay Kumar Sharma , Kanav Ganguly , Murli Manohar Verma
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