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The evolution and collapse of a gaseous toroidal vortex under the action of self-gravitation are considered using the Hamiltonian mechanics approach. It is shown that evolution occurs in three main stages separated by characteristic time…

Astrophysics · Physics 2015-06-24 K. Yu. Bliokh , V. M. Kontorovich

A relativistic model of a heat conducting collapsing star, which includes thermal pre-relaxation processes, is presented. Particular attention is paid to the influence of a given parameter defined in terms of thermodynamic variables, on the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 L. Herrera , J. Martinez

Gravity and thermal energy are universal phenomena which compete over the stabilization of astrophysical systems. The former induces an inward pressure driving collapse and the latter a stabilizing outward pressure generated by random…

General Relativity and Quantum Cosmology · Physics 2020-12-21 Zacharias Roupas

We present a numerical model of a collapsing radiating sphere, whose boundary surface undergoes bouncing due to a decreasing of its inertial mass density (and, as expected from the equivalence principle, also of the ``gravitational'' force…

General Relativity and Quantum Cosmology · Physics 2009-11-11 L. Herrera , A. Di Prisco , W. Barreto

The turnaround epoch of gravitational collapse is examined by means of relativistic Lagrangian perturbation theory. Averaged, scalar equations applied to the fluid's evolution reveal some scale-independent universality of parameters for a…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Jan J. Ostrowski

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

We present a discussion on some physical aspects of gravitational collapse which is based on a list of questions related to relevant issues in the study of that phenomenon. Providing answers to those questions we bring out the role played…

General Physics · Physics 2011-12-02 L. Herrera

The evolution of closed gravitational systems is studied by means of $N$-body simulations. This, as well as being interesting in its own right, provides insight into the dynamical and statistical mechanical properties of gravitational…

Astrophysics · Physics 2009-10-30 Amr El-Zant

We analyse the effects of thermal conduction in a relativistic fluid, just after its departure from hydrostatic equilibrium, on a time scale of the order of thermal relaxation time. It is obtained that the resulting evolution will…

General Relativity and Quantum Cosmology · Physics 2008-11-26 L. Herrera , A. Di Prisco , J. L. Hernandez-Pastora , J. Martin , J. Martinez

A database on shape evolution of direct N-body models formed out of cold, dissipationless collapse is generated using GRAPE and HARP special purpose computers. Such models are important to understand the formation of elliptical galaxies.…

Astrophysics · Physics 2007-05-23 Ch. Theis , R. Spurzem

A general, iterative, method for the description of evolving self-gravitating relativistic spheres is presented. Modeling is achieved by the introduction of an ansatz, whose rationale becomes intelligible and finds full justification within…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. Herrera , W. Barreto , A. Di Prisco , N. O. Santos

Astrophysical systems, such as clumps that form star clusters share a density profile that is close to $\rho \sim r^{-2}$. We prove analytically this density profile is the result of the scale-free nature of the gravitational collapse.…

Astrophysics of Galaxies · Physics 2018-05-17 Guang-Xing Li

We found equilibrium conditions for a self-gravitating toroidal vortex by taking into account thermal pressure. These conditions are shown to significantly differ from those for a disk and a sphere. The evolution of a thin vortex turns it…

Astrophysics · Physics 2009-11-10 K. Yu. Bliokh , V. M. Kontorovich

The influence of rotation on the dynamical evolution of collisional stellar systems is investigated by solving the orbit-averaged Fokker-Planck equation in (E,J_z)-space. We find that large amounts of initial rotation drive the system into…

Astrophysics · Physics 2007-05-23 Ch. Einsel , R. Spurzem

We study, using $N$-body simulation, the shape evolution in gravitational collapse of cold uniform spherical system. The central interest is on how the deviation from spherical symmetry depends on particle number $N$. By revisit of the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Tirawut Worrakitpoonpon

Self-gravitating systems are expected to reach a statistical equilibrium state either through collisional relaxation or violent collisionless relaxation. However, a maximum entropy state does not always exist and the system may undergo a…

Statistical Mechanics · Physics 2009-11-07 P. H. Chavanis , C. Rosier , C. Sire

We use both numerical and analytical approaches to study the dynamics of the gravitational collapse in the framework of the relativistic theory of gravitation (RTG). We use various equations of state for the collapsing matter and relatively…

General Relativity and Quantum Cosmology · Physics 2016-09-15 K. V. Antipin , A. I. Dubikovsky , P. K. Silaev

A new numerical framework, based on the use of a simple first order strongly hyperbolic evolution equations, is introduced and tested in case of 4-dimensional spherically symmetric gravitating systems. The analytic setup is chosen such that…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Peter Csizmadia , Istvan Racz

It is argued in the literature that gravity is an emergent phenomenon and is a statistical tendency for a gravitational system to attain the maximal entropy state which maintains the holographic principle. In this paper, we show that…

General Relativity and Quantum Cosmology · Physics 2014-01-08 Qiao-Jun Cao

This paper presents two interesting scaling laws, which relate some critical exponents in the critical behavior of spherically symmetric gravitational collapses. These scaling laws are independent of the details of gravity theory under…

General Relativity and Quantum Cosmology · Physics 2015-12-23 Rong-Gen Cai , Run-Qiu Yang
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