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In this article we find explicit formulae for spherically symmetric solutions of the multidimensional zero-pressure gas dynamics system and its adhesion approximation. The asymptotic behaviour of the explicit solutions of the adhesion…

Analysis of PDEs · Mathematics 2014-04-29 Anupam Pal Choudhury , K. T. Joseph , Manas R. Sahoo

As of now, all analogue gravity models available in the literature deal with the emergence of an acoustic geometry through linear perturbations of transonic fluids only. It has never been investigated whether the analogue gravity phenomena…

General Relativity and Quantum Cosmology · Physics 2021-06-08 Karan Fernandes , Susovan Maity , Tapas K. Das

We present the accretion of collisional dark matter on a supermassive black hole seed. The analysis is based on the numerical solution of the fully coupled system of Einstein-Euler equations for spherically symmetric flow, where the dark…

Astrophysics of Galaxies · Physics 2014-08-08 F. D. Lora-Clavijo , M. Gracia-Linares , F. S. Guzman

Spherically symmetric transonic accretion of a fractal medium has been studied in both the stationary and the dynamic regimes. The stationary transonic solution is greatly sensitive to infinitesimal deviations in the outer boundary…

Astrophysics · Physics 2007-08-30 Nirupam Roy , Arnab K. Ray

Spherically symmetric accretion incorporating self-gravity constitutes a three-point boundary value problem (TPBVP) governed by constraints at the outer boundary, sonic point, and accretor surface. Previous studies have two limitations:…

High Energy Astrophysical Phenomena · Physics 2025-07-04 Cheng-Liang Jiao , Er-gang Zhao , Liying Zhu , Xiang-dong Shi

In a previous work the authors described a fast high-fidelity computer model for acoustic scattering from multi-layered elastic spheres. This work is now extended with a scaling strategy significantly mitigating the problem of overflow and…

Fluid Dynamics · Physics 2022-10-04 Jon Vegard Venås , Trond Jenserud

A near-equal mass binary black hole can clear a central cavity in a circumbinary accretion disk; however, previous works have revealed accretion streams entering this cavity. Here we use 2D hydrodynamical simulations to study the accretion…

Astrophysics of Galaxies · Physics 2013-10-22 Daniel J. D'Orazio , Zoltán Haiman , Andrew MacFadyen

We investigate the properties of an axisymmetric non-magnetized gas flow without angular momentum on a small compact object, in particular, on a Schwarzschild black hole in the supersonic region near the object; the velocity of the object…

Astrophysics · Physics 2009-11-10 Roman V. Shcherbakov

We construct a steady analytic accretion flow model for a finite rotating gas cloud that accretes material to a central gravitational object. The pressure gradients of the flow are considered to be negligible and so, the flow is ballistic.…

Astrophysics · Physics 2012-12-20 S. Mendoza , E. Tejeda , E. Nagel

Achieving exact unidirectional invisibility in a finite frequency band has been an outstanding problem for many years. We offer a simple solution to this problem in two dimensions that is based on our solution to another more basic open…

Quantum Physics · Physics 2019-12-06 Farhang Loran , Ali Mostafazadeh

Numerical solutions for: the integral curves of the velocity field (streamlines), the density contours, and the accretion rate of a steady-state flow of an ideal fluid with p=K n^(gamma) equation of state orbiting in a core-dipole-shell…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Maximiliano Ujevic , Patricio S. Letelier

In this third paper of a series, we study the growth and luminosity of black holes (BHs) in motion with respect to their surrounding medium. We run a large set of two-dimensional (2D) axis-symmetric simulations to explore a large parameter…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 KwangHo Park , Massimo Ricotti

We present a nontrivial extension of the problem of spherical accretion of a collisionless kinetic gas into the standard Schwarzschild black hole. This extension consists of replacing the Schwarzschild black hole by generic static and…

General Relativity and Quantum Cosmology · Physics 2025-09-08 Mehrab Momennia , Olivier Sarbach

This work investigates Bondi accretion to a rotating magnetized star in the "propeller" regime using axisymmetric resistive, magnetohydrodynamic simulations. In this regime accreting matter tends to be expelled from the equatorial region of…

Astrophysics · Physics 2009-11-07 M. M. Romanova , O. D. Toropina , Yu. M. Toropin , R. V. E. Lovelace

The initial state of the spherical gravitational collapse in general relativity has been studied with different methods, especially by using {\it a priori} given equations of state that describe the matter as a perfect fluid. We propose an…

General Relativity and Quantum Cosmology · Physics 2024-10-24 Elly Bayona , Hernando Quevedo , Miguel Alcubierre

In the companion paper [SciPost Phys. 13, 108 (2022), arXiv:2205.11401 [hep-th]] we have studied the solution space at null infinity for gravity in the partial Bondi gauge. This partial gauge enables to recover as particular cases and among…

High Energy Physics - Theory · Physics 2024-03-20 Marc Geiller , Céline Zwikel

We compare different examples of spherical accretion onto a gravitating mass. Limiting cases include the accretion of a collisionally dominated fluid and the accretion of collisionless particles. We derive expressions for the accretion rate…

Astrophysics · Physics 2009-11-11 Re'em Sari , Peter Goldreich

In the present study time evolution of quasi-spherical polytropic accretion flow with toroidal magnetic field is investigated. The study especially focused the astrophysically important case in which the adiabatic exponent $\gamma=5/3$. In…

Astrophysics · Physics 2012-05-11 Alireza Khesali , Kazem Faghei

We calculate analytically a back reaction of the stationary spherical accretion flow near the event horizon and near the inner Cauchy horizon of the charged black hole. It is shown that corresponding back-reaction corrections to the black…

General Relativity and Quantum Cosmology · Physics 2011-12-20 Vyacheslav I. Dokuchaev , Yury N. Eroshenko

We characterize the nature of thin, axisymmetric, inviscid, accretion flows of cold adiabatic gas with zero specific energy in the vicinity of a black hole by the specific angular momentum. Using two-dimensional hydrodynamic simulations in…

Astrophysics · Physics 2009-10-28 Dongsu Ryu , Sandip K. Chakrabarti , Diego Molteni
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