scholarly journals On the rotation curves for axially symmetric disc solutions of the Vlasov–Poisson system

2014 ◽  
Vol 446 (4) ◽  
pp. 3932-3942 ◽  
Author(s):  
Håkan Andréasson ◽  
Gerhard Rein
Keyword(s):  
Poisson System ◽  
Axially Symmetric ◽  
Rotation Curves

scholarly journals Relativistic Modifications in Galactic Rotation Curves under a Toroidal Galactic Field

2021 ◽  
Author(s):  
Babur M. Mirza
Keyword(s):  
Energy Density ◽  
Galactic Center ◽  
Magnetic Energy ◽  
Rotational Velocity ◽  
Galactic Rotation ◽  
Axially Symmetric ◽  
Rotation Curves ◽  
Observable Universe ◽  
Magnetic Energy Density ◽  
Dynamics Of Galaxies

Abstract Rotational dynamics of galaxies exhibits an increase beyond the Keplerian velocity which corresponds to a missing mass up to six times the dynamic mass in the observable universe. In this paper we show that the observed increase in galactic rotation velocities is a general relativistic effect resulting from the combined effect of toroidal magnetic energy density in galaxies and spacetime dragging due to the rotating compact mass in galactic center. The effect of magnetic energy density on spacetime vorticity is derived from Maxwell equations in axially symmetric spacetime where the dragging effects are shown to extend farther in the galactic disc via the toroidal field, modifying the rotational speed of the galactic matter. This is shown to lead to the diverse rotation curves of spiral galaxies, along with the Tully-Fisher relation for total galactic mass and maximum rotational velocity.

Axially symmetric solutions of the Schrödinger–Poisson system with zero mass potential in R2

2020 ◽  
Vol 104 ◽  
pp. 106244 ◽  
Author(s):  
Lixi Wen ◽  
Sitong Chen ◽  
Vicenţiu D. Rădulescu
Keyword(s):  
Poisson System ◽  
Axially Symmetric ◽  
Zero Mass

scholarly journals Existence of axially symmetric solutions for a kind of planar Schrödinger-Poisson system

2021 ◽  
Vol 6 (7) ◽  
pp. 7833-7844
Author(s):  
Qiongfen Zhang ◽  
◽  
Kai Chen ◽  
Shuqin Liu ◽  
Jinmei Fan ◽  
...  
Keyword(s):  
Poisson System ◽  
Axially Symmetric

scholarly journals GALACTIC DYNAMICS VIA GENERAL RELATIVITY: A COMPILATION AND NEW DEVELOPMENTS

2007 ◽  
Vol 22 (13) ◽  
pp. 2293-2325 ◽  
Author(s):  
F. I. COOPERSTOCK ◽  
S. TIEU
Keyword(s):  
General Relativity ◽  
Mass Density ◽  
Free Fluid ◽  
Dynamical Structure ◽  
Axially Symmetric ◽  
Rotation Curves ◽  
Visible Matter ◽  
Global Consistency ◽  
The Galaxy ◽  
Dispersion Test

We consider the consequences of applying general relativity to the description of the dynamics of a galaxy, given the observed flattened rotation curves. The galaxy is modeled as a stationary axially symmetric pressure-free fluid. In spite of the weak gravitational field and the nonrelativistic source velocities, the mathematical system is still seen to be nonlinear. It is shown that the rotation curves for various galaxies as examples are consistent with the mass density distributions of the visible matter within essentially flattened disks. This obviates the need for a massive halo of exotic dark matter. We determine that the mass density for the luminous threshold as tracked in the radial direction is 10-21.75 kg · m -3 for these galaxies and conjecture that this will be the case for other galaxies yet to be analyzed. We present a velocity dispersion test to determine the extent, if of any significance, of matter that may lie beyond the visible/HI region. This is determined by examining the rotation curves at different galactic latitudes, bringing into consideration the global dynamical structure of the galaxy. The demand for global consistency applies not only to our own but also to all proposed models and theories. Various comments and criticisms from colleagues are addressed.

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