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We investigate the possibility to explain theoretically the galaxy rotation curves by a gravitational potential in total absence of dark matter. To this aim an analytic fourth-order theory of gravity, nonminimally coupled with a massive…

General Relativity and Quantum Cosmology · Physics 2015-06-15 A. Stabile , S. Capozziello

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

A modification of the Einstein-Hilbert Lagrangian by introducing a coupling between the Weyl tensor and the stress-energy tensor was proposed to explain flat galactic rotation curves without the exotic (non-baryonic) dark matter (DM) [1].…

Astrophysics of Galaxies · Physics 2026-04-03 Asghar Qadir , Ashmal Shahid , Noraiz Tahir

We obtain more straightforwardly some features of dark matter distribution in the halos of galaxies by considering the spherically symmetric space-time, which satisfies the flat rotational curve condition, and the geometric equation of…

General Relativity and Quantum Cosmology · Physics 2021-09-21 Ugur Camci

Rotation curves of spiral galaxies are known with reasonable precision for a large number of galaxies with similar morphologies. The data implies that non-Keplerian fall--off is seen. This implies that (i) large amounts of dark matter must…

Astrophysics · Physics 2011-05-23 C. Rodrigo-Blanco , J. Pérez-Mercader

We propose to test the viability of the recently introduced $f(\mathcal{R})$ gravity model in the galactic scales. For this purpose we consider test particles moving in stable circular orbits around the galactic center. We study the…

General Relativity and Quantum Cosmology · Physics 2023-05-17 Nashiba Parbin , Umananda Dev Goswami

In the braneworld scenario the four dimensional effective Einstein equation has extra source terms, which arise from the embedding of the 3-brane in the bulk. These non-local effects, generated by the free gravitational field of the bulk,…

General Relativity and Quantum Cosmology · Physics 2011-10-14 L. Á. Gergely , T. Harko , M. Dwornik , G. Kupi , Z. Keresztes

The observed flat rotation curves of galaxies require either the presence of dark matter in Newtonian gravitational potentials or a significant modification to the theory of gravity at galactic scales. Detecting relativistic Doppler shifts…

Astrophysics of Galaxies · Physics 2012-02-15 Alan Cooney , Dimitrios Psaltis , Dennis Zaritsky

A mysterious type of matter is supposed to exist, because the observed rotational velocity curves of particle moving around the galactic center and the expected rotational velocity curves do not match. There are also a number of proposals…

General Relativity and Quantum Cosmology · Physics 2016-12-22 Muhammad Usman

In this comment we point out some problems with the approach used in the paper "Scalar fields as dark matter in spiral galaxies" in the attempt to explain the flatness of the rotation curves of galaxies.

General Relativity and Quantum Cosmology · Physics 2010-11-19 Daniel Sudarsky

We examine the viability of Weyl conformal gravity as an alternative to the general theory of relativity. By using the extended rotation curve of the Milky Way and velocity dispersions of four globular clusters, we show that Weyl gravity…

General Relativity and Quantum Cosmology · Physics 2018-12-19 Koushik Dutta , Tousif Islam

Recently, it has been suggested that the phenomenology of flat rotation curves observed at large radii in the equatorial plane of disk galaxies can be explained as a manifestation of General Relativity instead of the effect of Dark Matter…

Astrophysics of Galaxies · Physics 2022-09-21 Luca Ciotti

We construct a class of static, axially symmetric solutions representing razor-thin disks of matter in an Integrable Weyl-Dirac theory proposed in Found. Phys. 29, 1303 (1999). The main differences between these solutions and the…

General Relativity and Quantum Cosmology · Physics 2014-02-13 Ronaldo S. S. Vieira , Patricio S. Letelier

Galactic rotation curves are often considered the first robust evidence for the existence of dark matter. However, even in the presence of a dark matter halo, other galactic-scale observations, such as the Baryonic Tully-Fisher Relation and…

Astrophysics of Galaxies · Physics 2019-10-23 Mariangela Lisanti , Matthew Moschella , Nadav Joseph Outmezguine , Oren Slone

Circular velocities of stars and gas in galaxies generally do not decline in accordance with widely expected Keplerian fall-off in velocities further from the galactic nucleus. Two main groups of theories were proposed to explain the…

Astrophysics of Galaxies · Physics 2014-06-11 Konstantin Pavlovich , Alex Pavlovich , Alan Sipols

The dark matter problem is one of the most pressing problems in modern physics. As there is no well-established claim from a direct detection experiment supporting the existence of the illusive dark matter that has been postulated to…

General Relativity and Quantum Cosmology · Physics 2022-01-12 Ram Gopal Vishwakarma

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

The missing gravity in galaxies requires dark matter, or alternatively a modification of gravity or inertia. These theoretical possibilities of fundamental importance may be distinguished by the statistical relation between the observed…

Astrophysics of Galaxies · Physics 2022-12-21 Kyu-Hyun Chae

Generally, the dynamics of test particles around galaxies, as well as the corresponding mass deficit, is explained by postulating the existence of a hypothetical dark matter. In fact, the behavior of the rotation curves shows the existence…

General Relativity and Quantum Cosmology · Physics 2013-11-13 Salvatore Capozziello , Tiberiu Harko , Tomi S. Koivisto , Francisco S. N. Lobo , Gonzalo J. Olmo

We find a new family of galactic metrics corresponding to flat rotation curves at the outer radii. These are vacuum solutions to a gravity theory where the Newton's coupling varies mildly in space. The effective `mass', whose origin is…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Rounak Chakraborty , Sandipan Sengupta