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This paper considers gravitational perturbations in geometrically thin disks with rotation curves dominated by a central object, but with substantial contributions from magnetic pressure and tension. The treatment is general, but the…

Astrophysics of Galaxies · Physics 2015-05-20 Susana Lizano , Daniele Galli , Mike J. Cai , Fred C. Adams

In the framework of metric $f(R)$ gravity, we find the dispersion relation for the propagation of tightly wound spiral density waves in the surface of rotating, self-gravitating disks. Also, new Toomre-like stability criteria for…

Astrophysics of Galaxies · Physics 2015-06-11 Mahmood Roshan , Shahram Abbassi

We find the dispersion relation for tightly wound spiral density waves in the surface of rotating, self-gravitating disks in the framework of Modified Gravity (MOG). Also, the Toomre-like stability criterion for differentially rotating…

Astrophysics of Galaxies · Physics 2015-03-17 Mahmood Roshan , Shahram Abbassi

We study local stability of self-gravitating fluid and stellar disk in the context of modified gravity theories which predict a Yukawa-like term in the gravitational potential of a point mass. We investigate the effect of such a Yukawa-like…

Astrophysics of Galaxies · Physics 2014-05-27 Asiyeh Habibi , Mohammad Taghi Mirtorabi , Mahmood Roshan

We investigate spherical collapse in Eddington-inspired Born--Infeld (EiBI) gravity in the subhorizon, pressureless, and quasi-static regime, emphasizing the matter-gradient correction that appears in the weak-field limit of the theory.…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-14 A. M Velásquez-Toribio

The gravitational stability of a two-dimensional self-gravitating and differentially rotating gaseous disk in the context of post-Newtonian (hereafter PN) theory is studied. Using the perturbative method and applying the second iterated…

High Energy Astrophysical Phenomena · Physics 2018-09-25 Ali Kazemi , Mahmood Roshan , Elham Nazari

We consider disk stability in the quasi-linear formulation of MOND (QUMOND), the basis for some $N$-body integrators. We generalize the Toomre criterion for the stability of disks to tightly wound, axisymmetric perturbations. We apply this…

Astrophysics of Galaxies · Physics 2019-01-23 Indranil Banik , Mordehai Milgrom , Hongsheng Zhao

Toomre's $Q$ stability parameter has long been shown through various theoretical arguments and numerical simulations, to be the principal determinant of stability against self-gravity in a galactic disk, under classical gravity. Comparison…

Astrophysics of Galaxies · Physics 2014-06-04 M. A. Jiménez , X. Hernandez

We investigate the influence of Toomre's $Q$ parameter on the bar-forming dynamics of Maclaurin disk using $N$-body simulations. According to the Toomre's criterion, local velocity dispersion parametrized by $Q\geq 1$ is required to…

Astrophysics of Galaxies · Physics 2024-03-11 T. Worrakitpoonpon

We perform a linear analysis of the stability of isothermal, rotating, magnetic, self-gravitating sheets that are weakly ionized. The magnetic field and rotation axis are perpendicular to the sheet. We include a self-consistent treatment of…

Solar and Stellar Astrophysics · Physics 2021-05-17 Indrani Das , Shantanu Basu

We applied a criterion of gravitational instability, valid for two-component and infinitesimally thin discs, to observational data along the major axis for 7 spiral galaxies of early types. Unlike most papers, the dispersion equation…

Astrophysics of Galaxies · Physics 2018-04-24 A. A. Marchuk , N. Y. Sotnikova

We investigate the influence of nonlinear gravity corrections, arising from the Eddington-inspired Born-Infeld (EiBI) theory on wave dynamics, stability, and energy transport processes in polytropic, viscous, and turbulent solar plasmas.…

Solar and Stellar Astrophysics · Physics 2026-03-03 Souvik Das , Pralay Kumar Karmakar

We explore the gravitational instability of clumpy and turbulent gas discs, taking into account the Larson-type scaling laws observed in giant molecular clouds (GMCs) and HI, as well as more general scaling relations. This degree of freedom…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Alessandro B. Romeo , Andreas Burkert , Oscar Agertz

By studying three-dimensional, radiative, global simulations of sub-Eddington, geometrically thin black hole accretion flows we show that thin disks which are dominated by magnetic pressure are stable against thermal instability. Such disks…

High Energy Astrophysical Phenomena · Physics 2017-02-08 Aleksander Sadowski

Purely gravitational perturbations are considered in a thin rotating disk composed of several gas and stellar components. The dispersion relation for the axisymmetric density waves propagating through the disk is found and the criterion for…

Astrophysics · Physics 2009-10-31 Roman R. Rafikov

Local gravitational instability (LGI) is considered crucial for regulating star formation and gas turbulence in galaxy discs, especially at high redshift. Instability criteria usually assume infinitesimally thin discs or rely on…

Astrophysics of Galaxies · Physics 2024-05-02 C. Bacchini , C. Nipoti , G. Iorio , F. Roman-Oliveira , F. Rizzo , P. E. Mancera Piña , A. Marasco , A. Zanella , F. Lelli

The local gravitational instability of rotating discs is believed to be an important mechanism in different astrophysical processes, including the formation of gas and stellar clumps in galaxies. We aim to study in three dimensions the…

Astrophysics of Galaxies · Physics 2024-05-24 Carlo Nipoti , Cristina Caprioglio , Cecilia Bacchini

Magnetic effects have long been considered a possible factor in stabilizing the outer regions of active galactic nuclei (AGN) accretion disks against gravitational instability (GI). However, the computational demands of testing this…

High Energy Astrophysical Phenomena · Physics 2025-08-26 Hannalore J. Gerling-Dunsmore , Mitchell C. Begelman , Jacob B. Simon , Philip J. Armitage

We examine the effect of self-gravity in a rotating thick-disk equilibrium in the presence of a dipolar magnetic field. In the first part, we find a self-similar solution for non-self-gravitating disks. The solution that we have found shows…

Astrophysics · Physics 2009-11-10 J. Ghanbari , S. Abbassi

We analyze the gravitational collapse of solids subject to gas drag in a protoplanetary disk. We also study the stirring of solids by turbulent fluctuations to determine the velocity dispersion and thickness of the midplane particle layer.…

Astrophysics · Physics 2007-05-23 Andrew N. Youdin
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