The Jeans analysis is studied in the first post-Newtonian limit. In other words, the relativistic effects on local gravitational instability are considered for systems whose characteristic velocities and corresponding gravitational fields are higher...

limit of the theory and find the dispersion

relation for the propagation of matter density waves on the surface of a self-gravitating and

differentially rotating disc. Finally, we find a new version of Toomre’s stability criterion for...

The gravitational stability of a two-dimensional self-gravitating and differentially rotating gaseous disk in the

context of post-Newtonian (PN) theory is studied. Using the perturbative method and applying the second iterated...

to the magnetohydrodynamic equations up to the first post-Newtonian

order. In addition, as usage of this derivation, we obtain a complete set of equations by which the behavior of a

self-gravitating plasma can be determined in post-Newtonian gravity....

Classification is one of the key issues in the fields of decision sciences and knowledge discovery.

In this paper, we present a new classification method based on gravitational potential

energy between particles. The basic principle...

We obtain self-similar solutions that describe the dynamics of a self-gravitating, rotating, viscous system. We use simplifying assumptions; but explicitly include viscosity and the cooling due to the dissipation of energy. By assuming...

Self-similar and semi-analytical solutions are found for the height-averaged equations governing the dynamical behavior of a polytropic, self-gravitating disk under the effects of winds around the nascent object. In order to describe the time...

We study the local and global stability of self-gravitating disks in the context of modified gravity (MOG). MOG is a covariant generalization of general relativity and developed as an alternative for dark matter particles. On the other hand...