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We apply the theory of algebraic polynomials to analytically study the transonic properties of general relativistic hydrodynamic axisymmetric accretion onto non-rotating astrophysical black holes. For such accretion phenomena, the conserved…

广义相对论与量子宇宙学 · 物理学 2012-04-05 Shilpi Agarwal , Tapas K. Das , Rukmini Dey , Sankhasubhra Nag

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…

高能天体物理现象 · 物理学 2012-02-13 Shilpi Agarwal , Tapas K. Das , Rukmini Dey

Stationary, inviscid, axi-symmetric, rotating, transonic accretion flow has been studied in a general relativistic framework, in the Schwarzschild metric; for three different flow geometries - under both polytropic and isothermal…

广义相对论与量子宇宙学 · 物理学 2015-04-06 Shamreen Iram

The accretion of test fluids flowing onto a black hole is investigated. Particularly, by adopting a dynamical Hamiltonian approach, we are capable to find the critical points for various cases of black hole in conformal gravity. In these…

广义相对论与量子宇宙学 · 物理学 2021-02-03 G. Abbas , A. Ditta

For inviscid, rotational accretion flows, both isothermal and polytropic, a simple dynamical systems analysis of the critical points has given a very accurate mathematical scheme to understand the nature of these points, for {\em any}…

天体物理学 · 物理学 2009-11-11 Soumini Chaudhury , Arnab K. Ray , Tapas Kumar Das

For the first time, {\it all} available pseudo-Schwarzschild potentials are exhaustively used to investigate the possibility of shock formation in hydrodynamic, invicid, black hole accretion discs. It is shown that a significant region of…

天体物理学 · 物理学 2009-11-07 Tapas Kumar Das

Using mathematical formalism borrowed from dynamical systems theory, a complete analytical investigation of the critical behaviour of the stationary flow configuration for the low angular momentum axisymmetric black hole accretion provides…

高能天体物理现象 · 物理学 2015-05-20 S. Nag , S. Acharya , A. K. Ray , Tapas K. Das

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…

天体物理学 · 物理学 2008-11-26 Ipsita Mandal , Arnab K. Ray , Tapas Kumar Das

Low-angular-momentum, axisymmetric, inviscid accretion flows onto a black hole have been studied using the vertical equilibrium disc model, considering multiple pseudo-Schwarzschild potentials and two thermodynamic equations of state. A…

高能天体物理现象 · 物理学 2026-05-13 Ripon Sk , Sangita Chatterjee , Sankhasubhra Nag

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…

广义相对论与量子宇宙学 · 物理学 2016-05-20 Ayyesha K. Ahmed , Mustapha Azreg-Aïnou , Mir Faizal , Mubasher Jamil

The equations governing general relativistic, spherically symmetric, hydrodynamic accretion of polytropic fluid onto black holes are solved in Schwarzschild metric to investigate some of the transonic properties of the flow. Only stationary…

天体物理学 · 物理学 2008-11-26 Tapas Kumar Das

We analyze the properties of a polytropic fluid which is radially accreted into a Schwarzschild black hole. The case where the adiabatic index gamma lies in the range 1 < gamma <= 5/3 has been treated in previous work. In this article we…

广义相对论与量子宇宙学 · 物理学 2016-05-25 Eliana Chaverra , Patryk Mach , Olivier Sarbach

Accretion onto a supermassive black hole of a rotating inflow is a particularly difficult problem to study because of the wide range of length scales involved. There have been broadly utilized analytic and numerical treatments of the global…

星系天体物理 · 物理学 2015-06-05 Jason Li , Jeremiah Ostriker , Rashid Sunyaev

In this paper we have examined spherical accretion onto Schwarzschild MOG Black Holes within the framework of Modified Gravity. Using isothermal test fluids, we analyze the behavior of the flow near the critical (sonic) point for various…

广义相对论与量子宇宙学 · 物理学 2025-10-31 Ayyesha K. Ahmed , M Z A Moughal

Realization of the stationary integral solutions of steady state transonic accretion flow in spherical symmetry helps to understand accretion phenomena on various astrophysical objects. In recent years, attempts have been made to study…

高能天体物理现象 · 物理学 2024-06-06 Souvik Ghose , Tapas K. Das

The dynamics of accretion onto a schwarzschild black hole is studied using Paczynski-Wiita pseudo newtonian potential. Steady state solution of the flow equations is obtained using thin disc approximation, including the effect of…

天体物理学 · 物理学 2007-05-23 Sivakumar G. Manickam , Sandip K. Chakrabarti

This paper deals with the steady-state polytropic fluid accretion onto a higher-dimensional Reissner-Nordstr$\ddot{o}$m black hole. We formulate the generalized mass flux conservation equation, energy flux conservation and relativistic…

广义相对论与量子宇宙学 · 物理学 2016-05-11 M. Sharif , Sehrish Iftikhar

In this work we would like to address the issue of shock formation in black hole accretion discs. We provide a {\it generalized two parameter solution scheme} for multi-transonic, accretion and wind around Schwarzschild black holes, by…

天体物理学 · 物理学 2016-08-30 Tapas Kumar Das , Jayant K. Pendharkar , Sanjit Mitra

We consider the stationary spherical accretion process of perfect fluids onto a class of spherically symmetric regular black holes corresponding to quantum-corrected Schwarzschild spacetimes. We show that the accretion rates can differ from…

广义相对论与量子宇宙学 · 物理学 2020-07-28 Juliano C. S. Neves , Alberto Saa

We construct a general relativistic model for the accretion flow of a rotating finite cloud of non-interacting particles infalling onto a Schwarzschild black hole. The streamlines start at a spherical shell, where boundary conditions are…

高能天体物理现象 · 物理学 2012-12-20 Emilio Tejeda , Sergio Mendoza , John C. Miller
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