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We investigate stationary slim accretion disks around Kerr black holes. We construct a new numerical method based on the relaxation technique. We systematically cover the whole parameter space relevant to stellar mass X-ray binaries. We…

High Energy Astrophysical Phenomena · Physics 2009-10-26 Aleksander Sadowski

We show that when the gravitational force is correctly calculated in dealing with the vertical hydrostatic equilibrium of black hole accretion disks, the relationship that is valid for geometrically thin disks, i.e., $c_s/\Omega_K H =$…

Astrophysics · Physics 2010-11-05 Wei-Min Gu , Ju-Fu Lu

In this thesis, I study hydrodynamical models of slim accretion disks --- advective, optically thick disks which generalize the standard models of radiatively efficient thin disks to all accretion rates. I start with a general introduction…

High Energy Astrophysical Phenomena · Physics 2011-08-02 A. Sadowski

The stationary hydrodynamic equations for transonic viscous accretion discs in Kerr geometry are derived. The consistent formulation is given for the viscous angular momentum transport and the boundary conditions on the horizon of a central…

Astrophysics · Physics 2015-06-24 Jochen Peitz , Stefan Appl

The construction of equilibrium models of accretion disks around compact objects has become a highly relevant topic in the recent times, thanks to the current understanding that indicates a direct relationship between these objects with the…

General Relativity and Quantum Cosmology · Physics 2025-06-25 Sergio Gimeno-Soler , Sayantani Lahiri , Claus Lämmerzahl

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

Accretion disks around black holes in which the shear stress is proportional to the total pressure, the accretion rate is more than a small fraction of Eddington, and the matter is distributed smoothly are both thermally and viscously…

Astrophysics · Physics 2009-10-30 J. H. Krolik

Thin disk accretion is often modeled in highly dynamical settings using the two-dimensional equations of viscous hydrodynamics, with viscosity representing unresolved turbulence. These equations are supposed to arise after vertical…

High Energy Astrophysical Phenomena · Physics 2023-04-24 John Ryan Westernacher-Schneider

Despite the fact that the Schwarzschild and Kerr solutions for the Einstein equations, when written in standard Schwarzschild and Boyer-Lindquist coordinates, present coordinate singularities, all numerical studies of accretion flows onto…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Philippos Papadopoulos , Jose A. Font

We discuss the solution of accretion disk when the black hole is chosen to be rotating. We study, how the fluid properties get affected for different rotation parameters of the black hole. We know that no cosmic object is static in…

Astrophysics · Physics 2009-11-07 Banibrata Mukhopadhyay

We provide a description of a thin accretion disc for a static spherically symmetric black holes in $f(R)$ gravity. In this regard, we first study the horizons of black holes in $f(R)$ gravity. The equation of motion and effective potential…

General Relativity and Quantum Cosmology · Physics 2020-04-02 Saheb Soroushfar , Sudhaker Upadhyay

This is an introduction to models of accretion discs around black holes. After a presentation of the non-relativistic equations describing the structure and evolution of geometrically thin accretion discs we discuss their steady-state…

High Energy Astrophysical Phenomena · Physics 2016-08-17 Jean-Pierre Lasota

Results of numerical simulations of shock solutions in a geometrical thin accretion disk around a Kerr black hole (BH) are presented. Using the smoothed particle hydrodynamics (SPH) technique, the influence of the central object is included…

Astrophysics · Physics 2015-06-24 H. Sponholz , D. Molteni

Fitting the thermal continuum emission of accreting black holes observed across X-ray bands represents one of the principle means of constraining the properties (mass and spin) of astrophysical black holes. Recent ''continuum fitting''…

General Relativity and Quantum Cosmology · Physics 2023-11-28 Andrew Mummery , Steven Balbus , Adam Ingram

Testing the true nature of black holes - the no-hair hypothesis - will become increasingly more precise in the next few years as new observational data is collected in both the gravitational wave channel and the electromagnetic channel. In…

General Relativity and Quantum Cosmology · Physics 2019-02-13 Sergio Gimeno-Soler , José A. Font , Carlos Herdeiro , Eugen Radu

Rotating black holes without equatorial reflection symmetry can naturally arise in effective low-energy theories of fundamental quantum gravity, in particular, when parity-violating interactions are introduced. Adopting a theory-agnostic…

General Relativity and Quantum Cosmology · Physics 2022-04-11 Che-Yu Chen , Hsiang-Yi Karen Yang

The present work presents analytically constructed equilibrium structures of charged perfect fluids orbiting Kerr Black holes embedded in an asymptotically uniform magnetic field. Our focus is on the effect of the non-constant angular…

General Relativity and Quantum Cosmology · Physics 2024-09-09 Audrey Trova

In this paper we solve the hydrodynamical equations of optically thin, steady state accretion disks around Kerr black holes. Here, fully general relativistic equations are used. We use a new method to calculate the shear tensor in the LNRF…

Astrophysics of Galaxies · Physics 2012-07-30 Mahboobe Moeen Moghaddas , Jamshid Ghanbari , Ahmad Ghodsi

The linear stability of accretion disks is revisited. The governing equations are expanded asymptotically and solved to first order in the expansion parameter $\epsilon$ defined by the ratio of the disk's vertical thickness to its radial…

Astrophysics · Physics 2009-11-10 O. M. Umurhan , G. Shaviv

We present results from fully general relativistic three-dimensional numerical studies of thick-disk accretion onto a rapidly-rotating (Kerr) black hole with a spin axis that is tilted (not aligned) with the angular momentum vector of the…

Astrophysics · Physics 2009-11-10 P. Chris Fragile , Peter Anninos
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