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We propose a new method to determine the physical parameters of Kerr black holes (namely, specific angular momentum $a$, inclination angle $i$, and distance $D$ from an observer) only from the shadow's information such as the size and…

General Relativity and Quantum Cosmology · Physics 2024-02-20 Kenta Hioki , Umpei Miyamoto

Collaborative international efforts under the name of the Event Horizon Telescope project, using sub- mm very long baseline interferometry, are soon expected to provide the first images of the shadow cast by the candidate supermassive black…

General Relativity and Quantum Cosmology · Physics 2016-10-26 Ziri Younsi , Alexander Zhidenko , Luciano Rezzolla , Roman Konoplya , Yosuke Mizuno

We present a method for determining the physical parameters of a Kerr-Newman black hole through shadow observation. In a system comprising a Kerr-Newman black hole, an observer, and a light source, the relevant parameters are mass $M$,…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Kenta Hioki , Umpei Miyamoto

The black hole shadow, first observed by the Event Horizon Telescope in 2017, is the newest method for studying black holes and understanding gravity. Much work has gone into understanding the shadow of a Kerr black hole, including all of…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Dimitry Ayzenberg

In this work, we investigate the shadow properties of the Kerr-Newman-Anti-de Sitter black hole coupled to a nonlinear electrodynamics. We construct the shadow by employing the celestial coordinate approach for observers located at finite…

General Relativity and Quantum Cosmology · Physics 2025-08-20 Mohsen Fathi

From the viewpoint of differential geometry and topology, we investigate the characterization of the shadows in a Kerr spacetime. Two new quantities, the length of the shadow boundary and the local curvature radius are introduced. Each…

General Relativity and Quantum Cosmology · Physics 2019-02-13 Shao-Wen Wei , Yu-Xiao Liu , Robert B. Mann

We develop a fully numerical framework to compute and visualize the \emph{hypershadow}\cite{Novo:2024wyn}, the three-dimensional generalization of the black hole shadow in five-dimensional spacetimes. Our method is based on backward ray…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Jianzhi Yang

The shadow of a black hole can be one of the strong observational evidences for stationary black holes. If we see shadows at the center of galaxies, we would say whether the observed compact objects are black holes. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2018-03-20 Naoki Tsukamoto

Observations of the black hole shadow of supermassive black holes, such as Sagittarius A* at the center of our Milky Way galaxy, allow us to study the properties of black holes and the nature of strong-field gravity. According to the Kerr…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Dimitry Ayzenberg , Nicolas Yunes

The recent detection of gravitational waves from black hole coalescences and the first image of the black hole shadow enhance the possibilities of testing gravitational theories in the strong-field regime. In this paper, we study the…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Che-Yu Chen

In General Relativity, the spacetimes of black holes have three fundamental properties: (i) they are the same, to lowest order in spin, as the metrics of stellar objects; (ii) they are independent of mass, when expressed in geometric units;…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Dimitrios Psaltis , Colm Talbot , Ethan Payne , Ilya Mandel

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

In this article, we provide a review of the current state of the research of the black hole shadow, focusing on analytical (as opposed to numerical and observational) studies. We start with particular attention to the definition of the…

General Relativity and Quantum Cosmology · Physics 2022-01-27 Volker Perlick , Oleg Yu. Tsupko

The unprecedented image of the M87* supermassive black hole has sparked some controversy over its usefulness as a test of the general relativistic Kerr metric. The criticism is mainly related to the black hole's quasi-circular shadow and…

General Relativity and Quantum Cosmology · Physics 2021-10-22 Kostas Glampedakis , George Pappas

We show that, away from the axis of symmetry, no continuous degeneration exists between the shadows of observers at any point in the exterior region of any Kerr-Newman black hole spacetime of unit mass. Therefore, except possibly for…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Marc Mars , Claudio F. Paganini , Marius A. Oancea

We explore the shadow of certain class generalized Kerr black holes, which are non vacuum solutions of the Einstein equations with exotic matter. The images depend on the angular momentum of the compact object, the characteristic parameter…

General Relativity and Quantum Cosmology · Physics 2016-02-23 Vassil K. Tinchev

The optical properties of rotating black holes in Kaluza-Klein theory described by the total mass, spin, and electric and magnetic charges are investigated in detail. Using a developed general relativistic ray-tracing code to calculate the…

General Relativity and Quantum Cosmology · Physics 2023-09-12 Temurbek Mirzaev , Askar B. Abdikamalov , Ahmadjon A. Abdujabbarov , Dimitry Ayzenberg , Bobomurat Ahmedov , Cosimo Bambi

Motivated by string theory, we constrain non-commutative black hole parameters through shadow behaviors using machine learning techniques combined by CUDA computations. To do so, we first investigate the structure of the event horizon of…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Maryem Jemri

It is believed that curvature singularities are a creation of general relativity and hence, in the absence of a quantum gravity, models of nonsingular black holes have received significant attention. We study the shadow (apparent shape), an…

General Relativity and Quantum Cosmology · Physics 2016-08-03 Muhammed Amir , Sushant G. Ghosh

Can the observation of the "shadow" allow us to distinguish a black hole from a more exotic compact object? We study the motion of photons in a class of vacuum static axially-symmetric space-times that is continuously linked to the…

General Relativity and Quantum Cosmology · Physics 2019-07-12 Askar B. Abdikamalov , Ahmadjon A. Abdujabbarov , Dimitry Ayzenberg , Daniele Malafarina , Cosimo Bambi , Bobomurat Ahmedov
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