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Based on the geometric-optics correspondence between the parameters of a quasinormal mode and the conserved quantities along geodesics, we propose an equation to calculate the typical shadow radius for asymptotically flat and rotating black…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Kimet Jusufi

We present the solution of a non-linear magnetic-charged black hole with an anisotropic matter field and further extend it to obtain the corresponding rotating black hole solution using the modified Newman-Janis algorithm. The event horizon…

General Relativity and Quantum Cosmology · Physics 2025-01-28 Qi-Quan Li , Yu Zhang , Hoernisa Iminniyaz

Since the development of Relativity theory, a variety of solutions have been found around Einstein field equations, depending on the time-space. For instance, we can find the axially symmetric space which describes a rotanting black hole.…

General Relativity and Quantum Cosmology · Physics 2014-09-08 Jonathan Pineda , Leonardo Castañeda , Juan Manuel Tejeiro

We extend a recently developed numerical code to obtain stationary, axisymmetric solutions that describe rotating black hole spacetimes in a wide class of modified theories of gravity. The code utilizes a relaxed Newton-Raphson method to…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

A REDUCE code for the Newman-Janis algorithm is described. This algorithm is intended to include rotation into nonrotating solutions of the Einstein field equations with spherically symmetry or perturbed spherically symmetry and has been…

General Relativity and Quantum Cosmology · Physics 2016-07-20 Carlos Gutierrez-Chavez , Francisco Frutos-Alfaro , Ivan Cordero-Garcia

The successful observation of M87 supermassive black hole by the Black Hole Event Horizon Telescope(EHT) provides a very good opportunity to study the theory of gravity. In this work, we obtain the exact solution for the short hair black…

General Relativity and Quantum Cosmology · Physics 2023-01-04 Meirong Tang , Zhaoyi Xu

We present a coordinate-independent method for extracting mass (M) and angular momentum (J) of a black hole in numerical simulations. This method, based on the isolated horizon framework, is applicable both at late times when the black hole…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Olaf Dreyer , Badri Krishnan , Eric Schnetter , Deirdre Shoemaker

We study the shadow cast by the H$D$ Schwarzschild-Tangherlini black hole, and analytically calculate the influence of extra dimensions on the shadow of a black hole. A black hole casts a shadow as an optical appearance because of its…

General Relativity and Quantum Cosmology · Physics 2017-07-25 Balendra Pratap Singh , Sushant G. Ghosh

The Kerr-Newman metric is the unique vacuum solution of the General Relativistic field equations, in which any singularities or spacetime pathologies are hidden behind horizons. They are believed to describe the spacetimes of massive…

General Relativity and Quantum Cosmology · Physics 2023-04-21 Dimitrios Psaltis

We investigate the gravitational collapse of a non-rotating $n$-dimensional BTZ black hole in AdS space in the context of both classical and quantum mechanics. This is done by first deriving the conserved mass of a "spherically" symmetric…

General Relativity and Quantum Cosmology · Physics 2016-04-20 Eric Greenwood

In this paper, we examine the effect of dark matter to a Kerr black hole of mass $m$. The metric is derived using the Newman-Janis algorithm, where the seed metric originates from the Schwarzschild black hole surrounded by a spherical shell…

General Relativity and Quantum Cosmology · Physics 2020-08-11 Reggie C. Pantig , Emmanuel T. Rodulfo

The study of shadows of static and rotating black holes immersed in various dark matter halo profiles has gained significant attention in recent years. In this paper, we consider the static black hole solution immersed in three dark matter…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Malihe Heydari-Fard , Mohaddese Heydari-Fard

Detailed observations of phenomena involving black holes, be it via gravitational waves or more traditional electromagnetic means, can probe the strong field regime of the gravitational interaction. The prediction of features in such…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

Janis-Newman-Winicour (JNW) spacetimes generalize the Schwarzschild solution to include a massless scalar field. Although suffering from naked singularities, they share the `frozen star' features of Schwarzschild black holes. Cosmological…

High Energy Physics - Theory · Physics 2017-01-18 David Kastor , Jennie Traschen

In this work, we consider two recently introduced novel regular black hole solutions and investigate the circular null geodesics to find the connection between the photon sphere, the horizon and the black hole shadow radii. We also study…

General Relativity and Quantum Cosmology · Physics 2022-11-01 Khadije Jafarzade , Mahdi Kord Zangeneh , Francisco S. N. Lobo

We construct series of solutions for the Kerr-type rotating black hole with non-trivial matter in flat and (A)dS backgrounds. Symmetry arguments and singularity analysis in the proposed black hole models fix the free parameters of the…

High Energy Physics - Theory · Physics 2024-11-13 A. J. Nurmagambetov

The abundance of dark matter in the actual universe motivates us to construct the black hole spacetime enveloped by dark matter. In this paper, we derive a new spherically symmetric black hole surrounded by the pseudo-isothermal dark matter…

General Relativity and Quantum Cosmology · Physics 2024-01-29 Yi Yang , Dong Liu , Ali Övgün , Gaetano Lambiase , Zheng-Wen Long

We obtain a newly charged black hole with magnetic charge $q$ and coupling constant $\mu$ from the Einstein-nonlinear electrodynamics theory inspired by quasi-topological terms. We perform the shadow and geometric scattering analysis of…

General Relativity and Quantum Cosmology · Physics 2025-05-02 Yun Soo Myung

With the help of CUDA high-performance numerical codes exploited in machine learning, we investigate the shadow aspect of new rotating and charged black holes using the Dunkl derivative formalism. Precisely, we first establish the…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Saad Eddine Baddis , Adil Belhaj , Hajar Belmahi , Maryem Jemri

We present two rotating black hole solutions with axion $\xi$, dilaton $\phi$ and two U(1) vector fields. By applying the "Newman-Janis trick" to a metric with 3 arbitrary parameters we find a rotating metric $g_{\mu\nu}$ with 4 such…

General Relativity and Quantum Cosmology · Physics 2009-05-18 E. Kyriakopoulos
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