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We obtain a new class of stationary axisymmetric spacetimes by using the G\"urses-G\"ursey metric with an appropriate mass function in order to generate a rotating core of matter that may be smoothly matched to the exterior Kerr metric. The…

General Relativity and Quantum Cosmology · Physics 2023-11-10 Angel D. Masa , Vilson T. Zanchin

Considering epicyclic oscillations of pressure-supported perfect fluid tori orbiting Kerr black holes we examine non-geodesic (pressure) effects on the epicyclic modes properties. Using a perturbation method we derive fully general…

Solar and Stellar Astrophysics · Physics 2014-11-18 O. Straub , E. Sramkova

In this paper, we introduce a natural notion of constant curvature Lorentzian surfaces with conical singularities, and provide a large class of examples of such structures. We moreover initiate the study of their global rigidity, by proving…

Differential Geometry · Mathematics 2025-12-02 Martin Mion-Mouton

In low-luminosity active galactic nuclei like M87$^\ast$ and Sgr A$^\ast$, the accretion flow in the vicinity of the black hole is in the collisionless regime, meaning that the collisional mean free path of charged particles is much larger…

High Energy Astrophysical Phenomena · Physics 2025-11-24 Martin Luepker , Yajie Yuan , Alexander Y. Chen

From a theoretical perspective, matter accretion processes around compact objects are highly relevant as they serve as a natural laboratory to test general relativity in the strong field regime. This enables us to validate fundamental…

General Relativity and Quantum Cosmology · Physics 2023-09-07 German D. Prada-Méndez , F. D. Lora-Clavijo , J. M. Velásquez-Cadavid

Properties of the Reissner-Nordstr\"om black-hole and naked-singularity spacetimes with a nonzero cosmological constant are represented by their geodetical structure and embedding diagrams of the central planes of both the ordinary geometry…

General Relativity and Quantum Cosmology · Physics 2008-03-19 Zdeněk Stuchlík , Stanislav Hledík

It has been recently demonstrated that the orbital velocity profile around Kerr black holes in the equatorial plane as observed in the locally non-rotating frame exhibits a non-monotonic radial behaviour. We show here that this unexpected…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Andreas Mueller , Bernd Aschenbach

We analyze the possibility that several instability points may be formed, due to the Paczy\'nski mechanism of violation of mechanical equilibrium, in the orbiting matter around a supermassive Kerr black hole. We consider recently proposed…

High Energy Astrophysical Phenomena · Physics 2016-05-04 D. Pugliese , Z. Stuchlík

We study the formation and stability of regular black holes by employing a thin shell approximation to the dynamics of collapsing magnetic monopoles. The core deSitter region of the monopole is matched across the shell to a…

High Energy Physics - Theory · Physics 2007-05-23 Hyunji Cho , David Kastor , Jennie Traschen

We construct the disk sources matched to the exact vacuum Kerr and to the two classes of Tomimatsu-Sato spacetimes. We analyze two models of the matter forming these disks. At each radius we consider either a rotating massive ring with…

General Relativity and Quantum Cosmology · Physics 2019-04-17 Tomáš Ledvinka , Jiří Bičák

Ringed accretion disks (RADs) are agglomerations of perfect-fluid tori orbiting around a single central attractor that could arise during complex matter inflows in active galactic nuclei. We focus our analysis to axi-symmetric accretion…

General Relativity and Quantum Cosmology · Physics 2018-05-02 D. Pugliese , Z. Stuchlik

In this paper we investigate circular orbits for test particles around Schwarzschild-de Sitter (dS) black hole surrounded by perfect fluid dark matter. We determine the region of circular orbits bounded by innermost and outermost stable…

General Relativity and Quantum Cosmology · Physics 2021-08-09 Javlon Rayimbaev , Sanjar Shaymatov , Mubasher Jamil

Quintessential dark energy with density $\rho$ and pressure $p$ is governed by an equation of state of the form $p=-\omega_{q}\rho$ with the quintessential parameter $\omega_q\in(-1;-1/3)$. We derive the geometry of quintessential rotating…

General Relativity and Quantum Cosmology · Physics 2015-12-07 Bobir Toshmatov , Zdeněk Stuchlík , Bobomurat Ahmedov

In this paper, we first investigate some aspects of frame dragging in strong gravity. The computations are carried out for the Kerr black hole and for the rotating Janis-Newman-Winicour solution, that is known to have a naked singularity on…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Tathagata Karmakar , Tapobrata Sarkar

We discuss the effects of electric charging on the equilibrium configurations of magnetized, rotating fluid tori around black holes of different mass. In the context of gaseous/dusty tori in galactic nuclei, the central black hole dominates…

High Energy Astrophysical Phenomena · Physics 2022-11-28 Vladimir Karas , Ondrej Kopacek , Audrey Trova , Jiri Kovar , Petr Slany , Zdenek Stuchlik

In nonlinear electrodynamics coupled to gravity, regular spherically symmetric electrically charged solutions satisfy the weak energy condition and have obligatory de Sitter centre. By the G\"urses-G\"ursey algorithm they are transformed to…

General Relativity and Quantum Cosmology · Physics 2015-10-07 Irina Dymnikova , Evgeny Galaktionov

In this Letter we investigate uniformly rotating, homogeneous and axisymmetric relativistic fluid bodies with a toroidal shape. The corresponding field equations are solved by means of a multi-domain spectral method, which yields highly…

General Relativity and Quantum Cosmology · Physics 2010-12-23 M. Ansorg , A. Kleinwächter , R. Meinel

Equilibrium conditions and spin dynamics of spinning test particles are discussed in the stationary and axially symmetric Kerr-de Sitter black-hole or naked-singularity spacetimes. The general equilibrium conditions are established, but due…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Zdenek Stuchlik , Jiri Kovar

We investigate thick accretion structures around Kerr black holes in a swirling background. This stationary and axisymmetric spacetime is composed of a rotating black hole, which is immersed in a rotating background. The swirling background…

General Relativity and Quantum Cosmology · Physics 2025-06-03 Kristian Gjorgjieski , Rogério Capobianco

We consider the planar Taylor-Couette system for the steady motion of a viscous incompressible fluid in the region between two concentric disks, the inner one being at rest and the outer one rotating with constant angular speed. We study…

Analysis of PDEs · Mathematics 2024-06-24 Filippo Gazzola , Jiří Neustupa , Gianmarco Sperone