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This paper discusses the observed at rotation curves of galaxies in the context of noncommutative geometry. The energy density of such a geometry is diffused throughout a region due to the uncertainty encoded in the coordinate commutator.…

General Relativity and Quantum Cosmology · Physics 2016-11-25 F. Rahaman , Peter K. F. Kuhfittig , K. Chakraborty , A. A. Usmani , Saibal Ray

The outer disk of the Milky Way Galaxy is warped and flared. Several mechanisms have been proposed to explain these phenomena, but none have quantitatively reproduced both features. Recent work has demonstrated that the Galactic stellar…

Astrophysics of Galaxies · Physics 2023-09-15 Jiwon Jesse Han , Charlie Conroy , Lars Hernquist

High-accuracy rotation curves of spiral galaxies show a steep rise in the central few hundred pc region, indicating high concentration of mass toward the center. Using the rotation curves, we idrectly calculate radial distributions of the…

Astrophysics · Physics 2007-05-23 Yoshiaki Sofue

In this paper we present the discussion on the salient points of the computational analysis that are at the basis of the paper \emph{Rotation Curves of Galaxies by Fourth Order Gravity} \citep{StSc}. In fact in this paper any galactic…

Astrophysics of Galaxies · Physics 2015-04-14 G. Scelza , A. Stabile

We propose a criterion for examining whether or not the uncertainty of the outer rotation curves is sufficiently small to distinguish a Keplerian rotation curve from flat ones. We have applied this criterion to both Keplerian and…

Astrophysics · Physics 2015-06-24 Mareki Honma , Yoshiaki Sofue

Assuming a suitable rotation of the Universe as a whole, we can attribute the rotation of galaxies to it. Using Lagrangian Mechanics we then can find the equations governing the rotation of a galaxy. We find in this way the azimuthal…

General Physics · Physics 2012-05-30 Evangelos Chaliasos

Dynamics of spiral galaxies derived from a given surface mass density has been derived earlier in a classic paper. We try to transform the singular elliptic function in the integral into a compact integral with regular elliptic function.…

Astrophysics · Physics 2007-05-23 W. F. Kao

Rotation curves constrain a galaxy's underlying mass density profile, under the assumption that the observed rotation produces a centripetal force that exactly balances the inward force of gravity. However, most rotation curves are measured…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 J. J. Dalcanton , A. Stilp

In this paper, we aim to estimate the vertical gradients in the rotational velocity of the Galaxy. This is carried out in the framework of a global thin disc model approximation. The predicted gradient values coincide with the observed…

Astrophysics of Galaxies · Physics 2015-03-13 Joanna Jałocha , Łukasz Bratek , Marek Kutschera , Piotr Skindzier

In this work, we aim to advance the Universal Rotation Curve (URC) paradigm by leveraging new data and extending its observational domain. Building on previous studies that established the URC using optical rotation curves reaching the…

Astrophysics of Galaxies · Physics 2026-05-01 Esha Bhatia , Paolo Salucci , Tiziano Schiavone , Sandeep Haridasu

In the present work we derive an analytical expression for the mass density of an object with spherical symmetry, whose corresponding potential allows obtaining a circular velocity around it that is in agreement with the observed rotation…

Astrophysics of Galaxies · Physics 2023-02-09 José Enrique Hernández Ramírez

I describe how the dynamics of galactic disks can be inferred by imaging and spectroscopy. Next I demonstrate that the decomposition of the rotation curves of spiral galaxies into the contributions by the various components of the galaxies…

Astrophysics · Physics 2009-11-13 B. Fuchs

We analyze the dynamics of a single spiral galaxy from a general relativistic viewpoint. We employ the known family of stationary axially-symmetric solutions to Einstein gravity coupled with dust in order to model the halo external to the…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Davide Astesiano , Sergio L. Cacciatori , Federico Re

A simple model for the dust media describing evolution of the system like spiral galaxy is considered. In contrast to previous considerations we show that the initial density fold should be quasi-one-dimensional (bar-like) instead of…

Astrophysics · Physics 2007-05-23 A. E. Filippov , A. S. Zhedanov

In a previous paper by the author was proposed a new metric for the gravitational field of a thin rotating disk physically different from the Kerr metric. The metric is admissible for any angular momentum of the disk. As demonstrated in the…

General Relativity and Quantum Cosmology · Physics 2024-07-26 V. A. Golovko

The recent paper by Lee and Lee (2004) may strongly leave the impression that astronomers have established that the rotation curves of spiral galaxies are flat. We show that the old paradigm of Flat Rotation Curves lacks, today, any…

Astrophysics · Physics 2008-11-26 P. Salucci , G. Gentile

Galactic rotation curves have proven to be the testing ground for dark matter bounds in spiral galaxies of all morphologies. Dwarf galaxies serve as an increasingly interesting case of rotation curve dynamics due to their typically rising…

General Relativity and Quantum Cosmology · Physics 2018-01-10 James G. O'Brien , Thomas L. Chiarelli , Jeremy Dentico , Modestas Stulge , Brian Stefanski , Robert Moss , Spasen Chaykov

In this work the phenomenology of models possessing a non-minimal coupling between matter and geometry is discussed, with a particular focus on the possibility of describing the flattening of the galactic rotation curves as a dynamically…

Astrophysics of Galaxies · Physics 2015-05-18 Orfeu Bertolami , Jorge Páramos

It has long been known that Newtonian dynamics applied to the visible matter in galaxies and clusters does not correctly describe the dynamics of those systems. While this is generally taken as evidence for dark matter it is in principle…

Astrophysics · Physics 2007-05-23 Anthony Aguirre

In these notes I will briefly summarize our knowledge about the dark matter problem, and emphasize the corresponding dynamical aspects. This covers a wide area of research, so I have been selective, and have concentrated on the subject of…

Astrophysics · Physics 2009-10-31 A. Bosma