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The physical processes defining the dynamics of disk galaxies are still poorly understood. Hundreds of articles have appeared in the literature over the last decades without arriving at an understanding within a consistent gravitational…

Astrophysics of Galaxies · Physics 2020-05-26 Klaus Wilhelm , Bhola N. Dwivedi

Modified Newtonian dynamics (MOND) and similar proposals can (at least partially) explain the excess rotation of galaxies or the equivalent mass-discrepancy acceleration, without (or by reducing) the requirement of dark matter halos. This…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Robert Monjo

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

This paper describes how the non-gravitational contribution to Galactic Velocity Rotation Curves can be explained in terms of a negative Cosmological Constant ($\Lambda$). It will be shown that the Cosmological Constant leads to a velocity…

Astrophysics · Physics 2007-05-23 S. B. Whitehouse , G. V. Kraniotis

Galaxy rotation curves determined observationally out to a radius well beyond the galaxy cores can provide a critical test of modified gravity models without dark matter. The predicted rotational velocity curve obtained from…

Astrophysics of Galaxies · Physics 2015-03-05 J. W. Moffat , V. T. Toth

We consider solutions with conformal symmetry of the static, spherically symmetric gravitational field equations in the vacuum in the brane world scenario. By assuming that the vector field generating the symmetry is non-static, the general…

General Relativity and Quantum Cosmology · Physics 2010-11-19 M. K. Mak , T. Harko

The nonsymmetric gravitational theory predicts an acceleration law that modifies the Newtonian law of attraction between particles. For weak fields a fit to the flat rotation curves of galaxies is obtained in terms of the mass…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. Moffat

General relativity (GR) is the most successful theory of gravity, with great observational support on local scales. However, to keep GR valid over cosmic scales, some phenomena (such as flat galaxy rotation curves and the cosmic expansion…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-12 Robert Monjo , Indranil Banik

We resume our analysis of Newtonian Fractional-Dimension Gravity (NFDG), an alternative gravitational model that does not require the dark matter (DM) paradigm. We add three more galaxies (NGC 6946, NGC 3198, NGC 2841) to the catalog of…

General Relativity and Quantum Cosmology · Physics 2025-11-27 Gabriele U. Varieschi

We present a new empirical model for galaxy rotation curves that introduces a velocity correction term {\omega}, derived from observed stellar motion and anchored to Keplerian baselines. Unlike parametric halo models or modified gravity…

Astrophysics of Galaxies · Physics 2026-01-05 David C. Flynn , Jim Cannaliato

The non-gauge vector field with as simple as possible Lagrangian (\ref{Lagrangian}) turned out an adequate tool for macroscopic description of the main properties of dark matter. The dependence of the velocity of a star on the radius of the…

General Relativity and Quantum Cosmology · Physics 2016-05-24 Boris E. Meierovich

We compare six models (including the baryonic model, two dark matter models, two modified Newtonian dynamics models and one modified gravity model) in accounting for the galaxy rotation curves. For the dark matter models, we assume NFW…

General Relativity and Quantum Cosmology · Physics 2017-05-10 Xin Li , Li Tang , Hai-Nan Lin

We study geometries of galactic rotation curves from Dark Matter (DM) and Modified Newtonian Dynamics (MOND) models in $(g_{\rm bar},g_{\rm tot})$-space ($g2$-space) where $g_{\rm tot}$ is the total centripetal acceleration of matter in the…

Astrophysics of Galaxies · Physics 2018-05-29 Mads T. Frandsen , Jonas Petersen

As an alternative to dark matter models we use generalized Jordan-Brans-Dicke scalar-vector-tensor (JBD-SVT) gravity model to study the behavior of the rotational velocities of test particles moving around galaxies. To do so we consider an…

General Relativity and Quantum Cosmology · Physics 2019-06-05 Hossein Ghaffarnejad , Razieh Dehghani

Despite the success of dark-matter models, unresolved issues require exploring alternatives such as modified gravity theories. In this context, we examine the compatibility of the Hyperconical Modified Gravity (HMG) with galaxy rotation…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-24 Robert Monjo

We apply Newtonian Fractional-Dimension Gravity (NFDG), an alternative gravitational model, to some notable cases of galaxies with little or no dark matter. In the case of the ultra-diffuse galaxy AGC 114905, we show that NFDG methods can…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Gabriele U. Varieschi

Dark matter is the generally accepted paradigm in astrophysics and cosmology as a solution to the higher rate of rotation in galaxies, among many other reasons. But since there are still some problems encountered by the standard dark matter…

Astrophysics of Galaxies · Physics 2021-02-24 Hanna A. Sabat , Raed Z. Bani-Abdoh , Marwan S. Mousa

{Comparison of mass density profiles of galaxies of varying sizes based on some gravity theories from observed galaxy rotation curves and assessing the need for dark matter.} We present an analysis of the rotation curves of five galaxies of…

Astrophysics · Physics 2011-08-23 Rahul Datta , Dilip G. Banhatti

Modified Newtonian Dynamics (MOND) was originally proposed to model galaxy rotation curves without dark matter. However, MOND presents difficulties in explaining the Radial Acceleration Relation (RAR) observed in galaxy clusters, and…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-24 Robert Monjo

A mysterious dark matter is supposed to exist in the galactic halos. In this contrast, we discuss the possibility of explaining the flat rotational velocity curves in f(R) gravity by solving field equations numerically in vacuum and for…

General Physics · Physics 2021-03-30 Muhammad Usman
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