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The stationary background flow in the spherically symmetric infall of a compressible fluid, coupled to the space-time defined by the static Schwarzschild metric, has been subjected to linearized perturbations. The perturbative procedure is…

Astrophysics · Physics 2008-12-18 Tapan Naskar , Nabajit Chakravarty , Jayanta K. Bhattacharjee , Arnab K. Ray

A large number of neutron stars (NSs), ~10^9, populate the Galaxy, but only a tiny fraction of them is observable during the short radio pulsar lifetime. The majority of these isolated NSs, too cold to be detectable by their own thermal…

Astrophysics · Physics 2009-11-07 Rosalba Perna , Ramesh Narayan , George Rybicki , Luigi Stella , Aldo Treves

Simulating accretion and feedback from the horizon scale of supermassive black holes (SMBHs) out to galactic scales is challenging because of the vast range of scales involved. Elaborating on H. Cho et al., we describe and test a…

High Energy Astrophysical Phenomena · Physics 2025-07-23 Hyerin Cho , Ben S. Prather , Kung-Yi Su , Ramesh Narayan , Priyamvada Natarajan

This paper is mainly concerned with the free boundary problem for an approximate model (for example, arising from the study of sonoluminescence) of a gas bubble of finite mass enclosed within a bounded incompressible viscous liquid,…

Analysis of PDEs · Mathematics 2024-08-30 Chengchun Hao , Tao Luo , Siqi Yang

We present global solutions that describe advection-dominated accretion flows around black holes. The solutions are obtained by numerically solving a set of coupled ordinary differential equations corresponding to a steady axisymmetric…

Astrophysics · Physics 2009-10-28 Ramesh Narayan , Shoji Kato , Fumio Honma

The Galactic Center black hole Sgr A* is the archetypical example of an underfed massive black hole. The extremely low accretion rate can be understood in radiatively inefficient accretion flow models. Testing those models has proven to be…

We consider spherically symmetric static solutions of the Einstein equations with a positive cosmological constant $\Lambda,$ which are regular at the centre, and we investigate the influence of $\Lambda$ on the bound of M/R, where M is the…

General Relativity and Quantum Cosmology · Physics 2009-09-23 Hakan Andreasson , Christian G. Boehmer

We have reexamined the similarity solution for a self-gravitating isothermal gas sphere and examined implication to star formation in a turbulent cloud. When parameters are adequately chosen, the similarity solution expresses an accreting…

Astrophysics · Physics 2009-11-13 Tomoyuki Hanawa , Akihito Soeda

An infinite class of exact static anisotropic spheres is developed. All members of the class satisfy (i) regularity (meaning no singularities), and in particular at the origin, (ii) positive but monotone decreasing energy density…

General Relativity and Quantum Cosmology · Physics 2016-06-13 Kayll Lake

We study cylindrically symmetric steady-state accretion of polytropic test matter spiraling onto the symmetry axis in power-law and logarithmic potentials. The model allows one to qualitatively understand the accretion process in a symmetry…

High Energy Astrophysical Phenomena · Physics 2019-11-11 Łukasz Bratek , Joanna Jałocha , Marek Kutschera

We derive an exact, axially symmetric solution representing stationary accretion of the relativistic, collisionless Vlasov gas onto a moving Schwarzschild black hole. The gas is assumed to be in thermal equilibrium at infinity, where it…

General Relativity and Quantum Cosmology · Physics 2021-01-27 Patryk Mach , Andrzej Odrzywolek

We obtain a new exact solution to the field equations in the EGB modified theory of gravity for a 5-dimensional spherically symmetric static distribution. By using a transformation, the study is reduced to the analysis of a single second…

General Relativity and Quantum Cosmology · Physics 2015-12-31 Sudan Hansraj , Brian Chilambwe , Sunil D. Maharaj

In a novel approach to studying viscous accretion flows, viscosity has been introduced as a perturbative effect, involving a first-order correction in the $\alpha$-viscosity parameter. This method reduces the problem of solving a…

Astrophysics · Physics 2015-05-13 Jayanta K. Bhattacharjee , Atri Bhattacharya , Tapas K. Das , Arnab K. Ray

We consider spherically symmetric accretion onto a small, possibly primordial, black hole residing at the center of a neutron star governed by a cold nuclear equation of state (EOS). We generalize the relativistic Bondi solution for such…

High Energy Astrophysical Phenomena · Physics 2022-01-05 Sophia C. Schnauck , Thomas W. Baumgarte , Stuart L. Shapiro

We obtain relativistic solutions of spherically symmetric accretion by a dynamical analysis of a generalised Hamiltonian for higher-dimensional Reissner-Nordstr\"{o}m (RN) Black Hole (BH). We consider two different fluids namely, an…

General Relativity and Quantum Cosmology · Physics 2025-12-04 Bibhash Das , Anirban Chanda , Bikash Chandra Paul

We investigate the accretion process for different spherically symmetric space-time geometries for a static fluid. We analyse this procedure using the most general black hole metric ansatz. After that, we examine the accretion process for…

General Relativity and Quantum Cosmology · Physics 2015-10-30 Sebastian Bahamonde , Mubasher Jamil

In regions of star formation, protostars and newborn stars accrete mass from their natal clouds. These clouds are threaded by magnetic fields with a strength characterized by the plasma beta---the ratio of thermal and magnetic pressures.…

Astrophysics of Galaxies · Physics 2015-06-18 Aaron T. Lee , Andrew J. Cunningham , Christopher F. McKee , Richard I. Klein

Accretion onto supermassive black holes (SMBHs) in galaxy formation simulations is frequently modelled by the Bondi-Hoyle formalism. Here we examine the validity of this approach analytically and numerically. We argue that the character of…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Alexander Hobbs , Chris Power , Sergei Nayakshin , Andrew King

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…

General Relativity and Quantum Cosmology · Physics 2020-07-28 Juliano C. S. Neves , Alberto Saa

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…

General Relativity and Quantum Cosmology · Physics 2025-10-31 Ayyesha K. Ahmed , M Z A Moughal