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Cooperstock and Tieu have proposed a model to account for galactic rotation curves without invoking dark matter. I argue that no model of this type can work.

General Relativity and Quantum Cosmology · Physics 2009-11-11 David Garfinkle

The recently proposed Cooperstock-Tieu galaxy model claims to explain the flat rotation curves without dark matter. The purpose of this note is to show that this model is internally inconsistent and thus cannot be considered a valid…

Astrophysics · Physics 2007-05-23 Daniel J. Cross

There are some approaches, either based on General Relativity (GR) or modified gravity, that use galaxy rotation curves to derive the matter density of the corresponding galaxy, and this procedure would either indicate a partial or a…

Astrophysics of Galaxies · Physics 2016-08-29 Álefe O. F. de Almeida , Oliver F. Piattella , Davi C. Rodrigues

It has recently been suggested that observed galaxy rotation curves can be accounted for by general relativity without recourse to dark-matter halos. A number of objections have been raised, which have been addressed by the authors. Here,…

Astrophysics · Physics 2007-05-23 Dylan Menzies , Grant J. Mathews

Recently a new model of galactic gravitational field, based on ordinary General Relativity, has been proposed by Cooperstock and Tieu in which no exotic dark matter is needed to fit the observed rotation curve to a reasonable ordinary…

Astrophysics · Physics 2007-05-23 Mikolaj Korzynski

A galaxy is modeled as a stationary axially symmetric pressure-free fluid in general relativity. For the weak gravitational fields under consideration, the field equations and the equations of motion ultimately lead to one linear and one…

Astrophysics · Physics 2007-05-23 F. I. Cooperstock , S. Tieu

The dark matter hypothesis, which is not called into question here, explains why typical rotation curves of spiral galaxies do not follow a Keplerian profile. It is however not sufficient in itself to explain why the whole matter…

Astrophysics of Galaxies · Physics 2019-06-13 Vincent Deledicque

It has recently been suggested that observed galaxy rotation curves can be accounted for by general relativity without recourse to dark-matter halos. Good fits have been produced to observed galatic rotation curves using this model. We show…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dylan Menzies , Grant J. Mathews

A recent analysis of data from the ESA Gaia mission demonstrated that the kinematics of stars in the Milky Way can be modelled without invoking the presence of dark matter whatsoever. Indeed, the higher-than-Keplerian velocities observed in…

Astrophysics of Galaxies · Physics 2022-04-12 Davide Astesiano , Sergio L. Cacciatori , Massimo Dotti , Francesco Haardt , Federico Re

Flat rotation curves in disk galaxies represent the main evidence for large amounts of surrounding dark matter. Despite of the difficulty in identifying the dark matter contribution to the total mass density in our Galaxy, stellar…

Astrophysics of Galaxies · Physics 2020-06-15 Mariateresa Crosta , Marco Giammaria , Mario G. Lattanzi , Eloisa Poggio

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

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

Stationary, axisymmetric, dust sourced solutions of Einstein's equations have been proposed as fully general relativistic models for disc galaxies. These models introduce a novel physical element, i.e., a non-negligible dragging vortex…

General Relativity and Quantum Cosmology · Physics 2024-10-17 Federico Re , Marco Galoppo

EGRET gamma-ray archival data used with GALPROP software show two ringlike structures in Milky Way Plane which roughly tally with distribution of stars ([1] & references therein). To understand fully the implications of this and similar…

Astrophysics · Physics 2008-07-10 Dilip G. Banhatti

The existence of "dark matter", inferred from the observed rotation curves of galaxies, is a hypothesis which is widely regarded as problematic. This paper proposes an alternative hypothesis based on the space-time geometry near a rotating…

General Physics · Physics 2020-02-27 Colin Rourke

In this paper we study consistent solutions of spherically symmetric space in metric f(R) gravity theory. Here we inversely obtain a generic action from metric solutions that describe flat rotation curves in spiral galaxies without dark…

General Relativity and Quantum Cosmology · Physics 2021-05-11 Solmaz Asgari , Reza Saffari

We present a method to investigate relativistic effects arising from large masses. The method is non-perturbative and employs a mean-field approximation and gravitational lensing. Using this method and a basic model of disk galaxy, we find…

Astrophysics of Galaxies · Physics 2021-03-17 Alexandre Deur

We analyze the presence of an additional singular thin disk in the recent General Relativistic model of galactic gravitational field proposed by Cooperstock and Tieu. The physical variables of the disk's energy-momentum tensor are…

Astrophysics · Physics 2007-05-23 D. Vogt , P. S. Letelier

A class of exact general relativistic rotating thick disks surrounded by rotating dust is constructed by applying the ``displace, cut, fill and reflect'' method on the van Stockum class of metrics. Two particular solutions are considered in…

Astrophysics · Physics 2007-05-23 D. Vogt , P. S. Letelier

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…

Astrophysics · Physics 2010-10-27 F. I. Cooperstock , S. Tieu
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