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Fluid discs and tori around black holes are discussed within different approaches and with the emphasis on the role of disc gravity. First reviewed are the prospects of investigating the gravitational field of a black hole--disc system by…

Astrophysics · Physics 2011-07-19 V. Karas , J. -M. Hure , O. Semerak

The magnetorotational instability originates from the elastic coupling of fluid elements in orbit around a gravitational well. Since inertial accelerations play a fundamental dynamical role in the process, one may expect substantial…

Astrophysics · Physics 2009-11-07 Rafael Angel Araya-Gochez

In this paper, we introduce a class of spacetimes $\left(\mathcal{M},g\right)$ which satisfy the vacuum Einstein equations and dynamically approach a Schwarzschild solution of mass $M$, a class we shall call \emph{ultimately…

General Relativity and Quantum Cosmology · Physics 2010-10-18 Gustav Holzegel

Self-gravitating relativistic disks around black holes can form as transient structures in a number of astrophysical scenarios such as binary neutron star and black hole-neutron star coalescences, as well as the core-collapse of massive…

High Energy Astrophysical Phenomena · Physics 2011-02-23 Oleg Korobkin , Ernazar B. Abdikamalov , Erik Schnetter , Nikolaos Stergioulas , Burkhard Zink

The accretion disk around a black hole and its emissions play an essential role in theoretical analysis of the black hole image. In the literature, two analytical toy models of accretions are widely adopted: the spherical model and the thin…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Zhi-Shuo Qu , Towe Wang , Chao-Jun Feng

We consider agglomerates of misaligned tori orbiting a supermassive black hole. The aggregate of tilted tori is modeled as a single orbiting configuration by introducing a leading function governing the distribution of toroids (and maximum…

High Energy Astrophysical Phenomena · Physics 2022-03-29 D. Pugliese , Z. Stuchlık

We consider a geometrically thin, Keplerian disk in the orbital plane of a binary black hole (BHBH) consisting of a spinning primary and low-mass secondary (mass ratio q < 1). To account for the principle effects of general relativity (GR),…

High Energy Astrophysical Phenomena · Physics 2013-06-18 Stuart L. Shapiro

We consider a five-dimensional constant curvature black hole, which is constructed by identifying some points along a Killing vector in a five-dimensional AdS space. The black hole has the topology M_4 times S^1, its exterior is…

High Energy Physics - Theory · Physics 2010-04-05 Rong-Gen Cai

We generalize to the Kerr spacetime existing self-force results on tidal invariants for particles moving along circular orbits around a Schwarzschild black hole. We obtain linear-in-mass-ratio corrections to the quadratic and cubic…

General Relativity and Quantum Cosmology · Physics 2018-09-26 Donato Bini , Andrea Geralico

We study the stability of general relativistic static thick disks, as an application we consider the thick disk generated by applying the ``displace, cut, fill and reflect" method, usually known as the image method, to the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Maximiliano Ujevic , Patricio S. Letelier

We explore the presence of torques at the inner edges of geometrically-thin black hole accretion disks using 3-dimensional magnetohydrodynamic (MHD) simulations in a pseudo-Newtonian potential. By varying the saturation level of the…

Astrophysics · Physics 2009-11-07 Christopher S. Reynolds , Philip J. Armitage

We study the motion of test particles in the gravitational field of a Schwarzschild black hole surrounded by a spherical dark matter cloud with non-zero tangential pressure and compute the luminosity of the accretion disk. The presence of…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Kuantay Boshkayev , Talgar Konysbayev , Yergali Kurmanov , Orlando Luongo , Daniele Malafarina

In this paper, we analyze a thin disk around the distorted Kerr black hole (DKB) within the framework of general relativity using an axisymmetric solution of the Einstein equations. We consider this accretion disk around the Kerr black hole…

General Relativity and Quantum Cosmology · Physics 2025-01-30 Olya Layeghi , Jamshid Ghanbari , Mahboobe Moeen Moghaddas

In the classical theory of thin disc accretion discs, the constraints of mass and angular momentum conservation lead to a diffusion-like equation for the turbulent evolution of the surface density. Here, we revisit this problem, extending…

High Energy Astrophysical Phenomena · Physics 2017-09-06 Steven A Balbus

The prediction of spacetime singularities, regions of infinite curvature where classical physics breaks down, is one of the most profound challenges in General Relativity (GR). In particular, black hole solutions such as the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Jose Pinedo Soto

This paper examines the general relativistic model of a geometrically thick configuration of an accretion disc around an electrically charged black hole in an accelerated motion, as described by the C-metric family. We aim to study the…

High Energy Astrophysical Phenomena · Physics 2025-02-14 Shokoufe Faraji , Audrey Trova , Vladimir Karas

We discuss the conditions for the existence of extended matter configurations orbiting in the ergoregion or close to the outer ergosurface of the Kerr black hole ("dragged" configurations). The corotating tori under consideration are…

General Relativity and Quantum Cosmology · Physics 2022-04-11 D. Pugliese , Z. Stuchlık

We examine the evolution and influence of viscosity-induced diskoseismic modes in simulated black hole accretion disks. Understanding the origin and behavior of such oscillations will help us to evaluate their potential role in producing…

Astrophysics · Physics 2011-02-11 Sean M. O'Neill , Christopher S. Reynolds , M. Coleman Miller

The merger of supermassive black holes (SMBHs) produces mHz gravitational waves (GW), which are potentially detectable by future Laser Interferometer Space Antenna (LISA). Such binary systems are usually embedded in an accretion disk…

High Energy Astrophysical Phenomena · Physics 2024-07-17 Fatemeh Hossein Nouri , Agnieszka Janiuk

We analyze the relativistic dynamical properties of Keplerian and non-Keplerian circular orbits in a general axisymmetric and stationary gravitational field, and discuss the implications for the stability of co- and counter-rotating…

General Relativity and Quantum Cosmology · Physics 2015-06-25 C. Barrabes , B. Boisseau , W. Israel