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A classical model of fluid dynamics is considered which describes the shape evolution of a viscous liquid droplet on a homogeneous substrate. All equilibria are characterized and their stability is analyzed by a geometric reduction…

Analysis of PDEs · Mathematics 2018-08-14 Patrick Guidotti

We discuss a model where a spontaneous quantum collapse is induced by the gravitational interaction, treated classically. Its dynamics couples the standard wave function of a system with the Bohmian positions of its particles, which are…

Quantum Physics · Physics 2020-02-18 F. Laloë

We investigate here the gravitational collapse end states for a spherically symmetric perfect fluid with an equation of state $p=k\rho$. It is shown that given a regular initial data in terms of the density and pressure profiles at the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Rituparno Goswami , Pankaj S Joshi

A model for a possible variable cosmic object is presented. The model consists of a massive shell surrounding a compact object. The gravitational and self-gravitational forces tend to collapse the shell, but the internal tangential stresses…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Dario Nunez

The molecular cloud, DR21 Main, is an example of a large-scale gravitational collapse about an axis near the plane of the sky where the collapse is free of major disturbances due to rotation or other effects. Using flux maps, polarimetric…

Astrophysics · Physics 2011-02-11 Larry Kirby

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

We trace the evolution of a spherically symmetric density perturbation in the MOdified Newtonian Dynamics (MOND) model. The background cosmological model is a $\Lambda$-dominated, low-$\Omega_b$ Friedmann model with no Cold Dark Matter. We…

Astrophysics · Physics 2007-05-23 Slawomir Stachniewicz , Marek Kutschera

Interested in the collapse of a radiating star, we study the temporal evolution of a fluid with heat flux and bulk viscosity, including anisotropic pressure. As a starting point, we adopt an initial configuration that satisfies the…

General Relativity and Quantum Cosmology · Physics 2018-11-27 L. S. M. Veneroni , M. F. A. da Silva

The collapse of non-collisional dark matter and the formation of pancake structures in the Universe are investigated approximately. Collapse is described by a system of ordinary differential equations, in the model of a uniformly rotating,…

Astrophysics · Physics 2007-05-23 G. S. Bisnovatyi-Kogan , O. Yu. Tsupko

We construct approximate solutions that will describe the last stage of cylindrically symmetric gravitational collapse of dust fluid. Just before the spacetime singularity formation, the speed of the dust fluid might be almost equal to the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Ken-ichi Nakao , Yoshiyuki Morisawa

In this paper, we study the gravitational collapse of matter fields, which include dust, perfect fluids as well as fluids admitting bulk and shear viscosity. The initial conditions on these matter fields have been kept to be quite general:…

General Relativity and Quantum Cosmology · Physics 2025-05-09 Akshay Kumar , Ayan Chatterjee , Suresh C. Jaryal

We study here the gravitational collapse of a matter cloud with a non-vanishing tangential pressure in the presence of a non-zero cosmological term. Conditions for bounce and singularity formation are derived for the model. It is also shown…

General Relativity and Quantum Cosmology · Physics 2015-06-25 T. Arun Madhav , Rituparno Goswami , Pankaj S. Joshi

This article proposes a generalization of the Oppenheimer-Snyder model which describes a bouncing compact object. The corrections responsible for the bounce are parameterized in a general way so as to remain agnostic about the specific…

General Relativity and Quantum Cosmology · Physics 2020-04-28 Jibril Ben Achour , Suddhasattwa Brahma , Jean-Philippe Uzan

Planetesimal formation models often invoke the gravitational collapse of pebble clouds to overcome various barriers to grain growth and propose processes to concentrate particles sufficiently to trigger this collapse. On the other hand, the…

Earth and Planetary Astrophysics · Physics 2024-12-11 P. Segretain , H. Méheut , M. Moreira , G. Lesur , C. Robert , J. Mauxion

Using the conventional gravastar model, that is, an object constituted by two components where one of them is a massive infinitely thin shell and the other one is a de Sitter interior spacetime, we physically interpret a solution…

General Relativity and Quantum Cosmology · Physics 2012-10-30 R. Chan , M. F. A. da Silva , Jaime F. Villas da Rocha

If we take into account the Hilbertian gravitational repulsion, even a dust sphere with a zero fluido-dynamical pressure collapses to a body of a comparatively small, finite, volume.

General Physics · Physics 2010-08-25 A. Loinger , T. Marsico

We investigate the dynamical nature of the collapse process of a spherically symmetric star in quasi-static hydrodynamical equilibrium. The star collapses from an initial static configuration by dissipating energy in the form of a radial…

General Relativity and Quantum Cosmology · Physics 2017-11-20 Megan Govender , Robert Bogadi , Ranjan Sharma , Shyam Das

Here we model a star forming factory in which the continuous creation of stars results in a highly concentrated, massive (globular cluster-like) stellar system. We show that under very general conditions a large-scale gravitational…

In the present work, we revisit the process of gravitational collapse of a spherically symmetric homogeneous dust fluid which is known as the Oppenheimer-Snyder (OS) model [1]. We show that such a scenario would not end in a spacetime…

General Relativity and Quantum Cosmology · Physics 2015-02-25 Mostafa Hashemi , Shahram Jalalzadeh , Amir Hadi Ziaie

In this paper, we investigate spherically symmetric perfect fluid gravitational collapse in metric $f(R)$ gravity. We take non-static spherically symmetric metric in the interior region and static spherically symmetric metric in the…

General Relativity and Quantum Cosmology · Physics 2011-01-17 M. Sharif , H. Rizwana Kausar
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