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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

We consider the effects of a cosmological constant on the dynamics of constant angular momentum discs orbiting Schwarzschild-de Sitter black holes. The motivation behind this study is to investigate whether the presence of a radial force…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Luciano Rezzolla , Olindo Zanotti , Jose A. Font

In this paper, we present a mathematical model and analysis for a new experimental method [Bureau and al., arXiv:2409.13901, 2024] for effective sound velocity estimation in medical ultrasound imaging. We perform a detailed analysis of the…

Analysis of PDEs · Mathematics 2025-05-13 Josselin Garnier , Laure Giovangigli , Quentin Goepfert , Pierre Millien

A number of `modified' Newtonian potentials of various forms are available in the literature which accurately approximate some general relativistic effects important for studying accretion discs around a Schwarzschild black hole. Such…

Astrophysics · Physics 2009-11-07 Tapas Kumar Das , Aveek Sarkar

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…

High Energy Astrophysical Phenomena · Physics 2012-12-20 Emilio Tejeda , Sergio Mendoza , John C. Miller

We present results of numerical simulation of inviscid thick accretion disks and wind flows around black holes. We use Smoothed Particle Hydrodynamics (SPH) technique for this purpose. Formation of thick disks are found to be preceded by…

Astrophysics · Physics 2009-10-22 Diego Molteni , G. Lanzafame , S. K. Chakrabarti

The objetive of this work is to investigate the influence of the corrections to the spherical symmetrical accretion of an infinity gas cloud characterized by a polytropic equation into a massive object due to the post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2021-07-28 Gilberto M. Kremer , Leandro C. Mehret

We formulate and solve the equations governing the transonic behaviour of a general relativistic black-hole accretion disc with non-zero advection velocity. We demonstrate that a relativistic Rankine-Hugoniot shock may form leading to the…

Astrophysics · Physics 2010-10-27 Tapas Kumar Das , Neven Bilic , Surajit Dasgupta

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

Um fluido em movimento pode agir sobre o som da mesma forma que os espa\c{c}o-tempos curvos podem influenciar na trajet\'oria da luz na relatividade geral. Com isso, pode-se descrever a propaga\c{c}\~ao dessas ondas sonoras atrav\'es de uma…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Júnior Diniz Toniato

We provide a systematic study for the accretion of a collisionless, relativistic kinetic gas into a nonrotating black hole. To this end, we first solve the relativistic Liouville equation on a Schwarzschild background spacetime. The most…

General Relativity and Quantum Cosmology · Physics 2017-04-19 Paola Rioseco , Olivier Sarbach

Numerical simulations of the accretion of test scalar fields with non-standard kinetic terms (of the k-essence type) onto a Schwarzschild black hole are performed. We find a full dynamical solution for the spherical accretion of a…

High Energy Physics - Theory · Physics 2011-07-22 Ratindranath Akhoury , David Garfinkle , Ryo Saotome , Alexander Vikman

We consider the observational properties of a spherically symmetric, static regular black hole within the framework of asymptotic safety (AS) as proposed by Bonanno et al. The metric resembles the Schwarzschild solution in the classical…

General Relativity and Quantum Cosmology · Physics 2025-06-13 Abdybek Urmanov , Hrishikesh Chakrabarty , Daniele Malafarina

Acoustic black holes, analogs of gravitational black holes created in fluid systems, have recently been embedded within Schwarzschild spacetime using the Gross-Pitaevskii theory, leading to configurations with both event and acoustic…

High Energy Physics - Theory · Physics 2025-05-19 Balbeer Singh , Nibedita Padhi , Rashmi R. Nayak

We examine the steady-state spherically symmetric accretion of relativistic fluids, with a polytropic equation of state, onto a higher dimensional Schwarzschild black hole. The mass accretion rate, critical radius, and flow parameters are…

General Relativity and Quantum Cosmology · Physics 2013-11-14 Anslyn J. John , Sushant G. Ghosh , Sunil D. Maharaj

For accretion onto astrophysical black holes, we demonstrate that linear perturbation of Bernoulli's constant defined for an inviscid irrotational adiabatic flow of perfect ideal fluid gives rise to phenomena of analogue gravity. The…

General Relativity and Quantum Cosmology · Physics 2018-04-13 Satadal Datta , Md Arif Shaikh , Tapas K Das

We present a fully covariant and gauge-invariant formulation of electromagnetic wave propagation in static, spherically symmetric black hole spacetimes, developed entirely within Schwarzschild-like coordinates. Start ing from the…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Abdullah Guvendi , Omar Mustafa Semra Gurtas Dogan , Hassan Hassanabadi

We consider the steady-state density and velocity dispersion profiles of collisionless matter around a Schwarzschild black hole (BH) and its associated rate of accretion onto the BH. We treat matter, which could be stars or dark matter…

Astrophysics of Galaxies · Physics 2023-10-25 Stuart L. Shapiro

We compare standard models of accretion disks around black holes that include the appropriate zero-torque inner boundary condition and relativistic effects on the emission and propagation of radiation. The comparison is performed adopting…

High Energy Astrophysical Phenomena · Physics 2015-05-13 A. Lorenzin , L. Zampieri

For three different geometric configurations of matter and two different thermodynamic equations of state, low angular momentum, multi-transonic, axially symmetric accretion flow of matter having fractional dimension of mass distribution…

High Energy Astrophysical Phenomena · Physics 2022-03-09 Supriyo Majumder , Tapas K. Das , Sankhasubhra Nag