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By applying the theory of algebraic polynomials and the theory of dynamical systems, we construct the generalized Sturm sequences/chains to investigate the transonic properties of hydrodynamic accretion onto non-rotating astrophysical black…

High Energy Astrophysical Phenomena · Physics 2012-02-13 Shilpi Agarwal , Tapas K. Das , Rukmini Dey

The role of turbulence in a spherically symmetric accreting system has been studied on very large spatial scales of the system. This is also a highly subsonic flow region and here the accreting fluid has been treated as nearly…

Astrophysics · Physics 2009-11-10 Arnab K. Ray , J. K. Bhattacharjee

We study the time evolution of sub-Keplerian transonic accretion flow onto a non-rotating black hole using a three-dimensional, inviscid hydrodynamics simulation code. Prior two-dimensional simulations show that centrifugal barrier in the…

High Energy Astrophysical Phenomena · Physics 2022-12-28 Sudip K Garain , Jinho Kim

In this paper I study stationary, spherically symmetric accretion of fluids onto a charged black hole in the presence of the cosmological constant. For some isothermal equations of state it is possible to obtain analytic solutions. In the…

General Relativity and Quantum Cosmology · Physics 2015-11-10 Filip Ficek

We study the global solutions of slowly rotating accretion flows around the supermassive black hole in the nucleus of an elliptical galaxy. The velocity of accreted gas surrounding the black hole is initially subsonic and then falls onto…

High Energy Astrophysical Phenomena · Physics 2022-09-14 Razieh Ranjbar , Amin Mosallanezhad , Shahram Abbassi

This paper concerns the structural stability of smooth cylindrically symmetric transonic flows in a concentric cylinder. Both cylindrical and axi-symmetric perturbations are considered. The governing system here is of mixed…

Analysis of PDEs · Mathematics 2021-01-05 Shangkun Weng , Zhouping Xin , Hongwei Yuan

Quasi-spherical supersonic (Bondi-type) accretion to a star with a dipole magnetic field is investigated using resistive magnetohydrodynamic simulations. A systematic study is made of accretion to a non-rotating star, while sample results…

We study the effect of nuclear reaction on a thin, axisymmetric, differentially rotating, inviscid, steady accretion flow around a black hole from an analytical point of view. We find that for most of the reasonable disk parameters, when…

Astrophysics · Physics 2016-08-30 Banibrata Mukhopadhyay , Sandip K. Chakrabarti

The stationary spherically symmetric accretion flow in the Schwarzschild metric has been set up as an autonomous first-order dynamical system, and it has been studied completely analytically. Of the three possible critical points in the…

Astrophysics · Physics 2008-11-26 Ipsita Mandal , Arnab K. Ray , Tapas Kumar Das

Transonic accretion flow with self-consistent treatment of random magnetic field is presented.

Astrophysics · Physics 2008-11-26 Roman V. Shcherbakov

In two previous publications$^{1,2}$, we have demonstrated that stationary rotation of magnetized plasma about a compact central object permits an enormous number of different MHD instabilities, with the well-known magneto-rotational…

Plasma Physics · Physics 2007-05-23 Hans Goedbloed , Rony Keppens

In a recent paper we investigated stationary, relativistic Bondi-type accretion in Schwarzschild-(anti-)de Sitter spacetimes. Here we study their stability, using the method developed by Moncrief. The analysis applies to perturbations…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Patryk Mach , Edward Malec

We investigate the Michel-type accretion onto a static spherically symmetric black hole. Using a Hamiltonian dynamical approach, we show that the standard method employed for tackling the accretion problem has masked some properties of the…

General Relativity and Quantum Cosmology · Physics 2016-05-20 Ayyesha K. Ahmed , Mustapha Azreg-Aïnou , Mir Faizal , Mubasher Jamil

Multi-transonic accretion for a spinning black hole has been compared among different disc geometries within post Newtonian pseudo potential framework. The variation of stationary shock characteristics with black hole spin has been studied…

High Energy Astrophysical Phenomena · Physics 2023-08-04 Sonali Saha , Sharmistha Sen , Sankhasubhra Nag , Suparna Roychowdhury , Tapas K Das

Theoretical studies of transonic accretion onto black holes reveal a wide range of possible solutions, broadly classified into smooth flows and flows featuring shocks. Accretion solutions that involve the formation of shocks are…

High Energy Astrophysical Phenomena · Physics 2025-12-16 Raj Kishor Joshi , Antonios Tsokaros , Sanjit Debnath , Indranil Chattopadhyay , Ramiz Aktar

In this paper, the steady inviscid flows with radial symmetry for the isothermal Euler system are studied in an annulus. We present a complete classification of transonic radially symmetric flow patterns in term of physical boundary…

Analysis of PDEs · Mathematics 2023-10-20 Na Zhang

Modelling the flow in a thin accretion disc like a dynamical system, we analyse the nature of the critical points of the steady solutions of the flow. For the simple inviscid disc there are two critical points, with the outer one being a…

Astrophysics · Physics 2007-05-23 Arnab K. Ray , J. K. Bhattacharjee

We describe astrophysical processes around a black hole keeping primarily the physics of accretion in mind. In Section 1, we briefly discuss the formation, evolution and detection of black holes. We also discuss the difference of flow…

Astrophysics · Physics 2009-10-28 Sandip K. Chakrabarti

We describe general-relativistically a spherically symmetric stationary fluid accretion onto a black hole. Relativistic effects enhance mass accretion, in comparison to the Bondi model predictions, in the case when backreaction is…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Edward Malec

The influence of a linearized perturbation on stationary inflow solutions in an inviscid and thin accretion disc, has been studied here, and it has been argued, that a perturbative technique would indicate that all possible classes of…

Astrophysics · Physics 2016-08-30 Arnab K. Ray