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Flat or almost flat rotation curves of spiral galaxies can be explained by logarithmic gravitational potentials. The field equations of GR admit of spacetime metrics with such behaviors. The scenario can be interpreted either as an…

General Relativity and Quantum Cosmology · Physics 2009-03-26 Yousef Sobouti

In this work we propose a universal basic mass density and a universal basic metric inside dark matter halos in the framework of Einstein equations providing an analytical ground for learning about dark matter. In a previous work the…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-02 Fateen Haddad , Nidal Haddad

The Galaxy rotation curve is usually assumed to be flat. However, some galaxies have rotation curves that are lower than the flat rotation curve. In our Galaxy the Keplerian rotation of interstellar clouds in the galactic longitude l=135…

Astrophysics of Galaxies · Physics 2020-01-08 Piotr Gnaciński

Recent observations indicate that both the Milky Way bulge and inner halo exhibit angular momentum, although the origin and evolution of this prograde signature remain ambiguous. One plausible scenario involves secular evolution induced by…

Astrophysics of Galaxies · Physics 2025-06-17 Zhuohan Li , Chengdong Li , Gang Zhao , Ruizhi Zhang , Xiang-Xiang Xue

The model of galactic halo as a system of the collisionless small neutral particles from the standpoint of kinetic theory is considered. For the equilibrium system with the use of Maxwell-Boltzmann distribution we obtained results which…

General Relativity and Quantum Cosmology · Physics 2011-11-03 Valentin D. Gladush

We solve the nonlinear evolution of pressureless, irrotational density fluctuations in a perturbed Robertson-Walker spacetime using a new Lagrangian method based on the velocity gradient and gravity gradient tensors. Borrowing results from…

Astrophysics · Physics 2009-10-22 Edmund Bertschinger , Bhuvnesh Jain

Three three-component (bulge, disk, halo) model Galactic gravitational potentials differing by the expression for the dark matter halo are considered. The central (bulge) and disk components are described by the Miyamoto-Nagai expressions.…

Astrophysics of Galaxies · Physics 2023-05-25 A. T. Bajkova , V. V. Bobylev

We set new limits on the mass of the Milky Way, making use of the latest kinematic information for Galactic satellites and halo objects. In order to bind these sample objects to the Galaxy, their rest-frame velocities must be lower than…

Astrophysics · Physics 2009-11-07 Tsuyoshi Sakamoto , Masashi Chiba , Timothy C. Beers

{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

We suggest a new explanation of flatness of galaxies rotation curves without invoking dark matter. For this purpose a new gravitational tensor field is introduced in addition to the metric tensor.

High Energy Physics - Phenomenology · Physics 2023-12-25 S. A. Larin

Hartle's model for slowly rotating stars has been extensively used to compute equilibrium configurations of slowly rotating stars to second order in perturbation theory in General Relativity, given a barotropic equation of state (EOS). A…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Borja Reina

An exact solution of Einstein's field equations for a static spherically symmetric medium with a radially boost invariant energy-momentum tensor is presented. In the limit of an equation of state corresponding to a distribution of radially…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Harald H. Soleng

Almost all spiral galaxies have been observed to have flattening rotation curves. The new Gaia DR3 released data shows a Milky Way sharply Keplerian declining rotation curve, starting at $\sim 16$ kpc and ending at 26.5 kpc. The data…

Astrophysics of Galaxies · Physics 2025-05-30 J. W. Moffat , H. Sharron , V. T. Toth

We analyse systems analogous to the Milky Way (MW) in the EAGLE cosmological hydrodynamics simulation in order to deduce the likely structure of the MW's dark matter halo. We identify MW-mass haloes in the simulation whose satellite…

Astrophysics of Galaxies · Physics 2021-01-06 Shi Shao , Marius Cautun , Alis J. Deason , Carlos S. Frenk

Context. Gas within a galaxy is forced to establish pressure balance against gravitational forces. The shape of an unperturbed gaseous disk can be used to constrain dark matter models. Aims. We derive the 3-D HI volume density distribution…

Astrophysics · Physics 2009-11-13 P. M. W. Kalberla , L. Dedes , J. Kerp , U. Haud

$\tilde{\delta}$ Gravity is a gravitational field model, where the geometry is governed by two symmetric tensors, $g_{\mu \nu}$ and $\tilde{g}_{\mu \nu}$, and new matter fields ($\tilde{\delta}$ Matter fields) are added to the original…

General Relativity and Quantum Cosmology · Physics 2017-12-08 Jorge Alfaro , Pablo González

Recent measurements of the Milky Way rotation curve found a sharp decline at around $15$-$20$ kpc from the center of the Galaxy, suggesting that the Galactic dark matter halo is much less massive than predicted by other dynamical tracers.…

Astrophysics of Galaxies · Physics 2025-03-11 Xiaowei Ou , Lina Necib , Andrew Wetzel , Anna Frebel , Jeremy Bailin , Micah Oeur

In the braneworld scenario, the four dimensional effective Einstein equation has extra 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, may…

Astrophysics · Physics 2016-08-30 T. Harko , K. S. Cheng

We derive the first analytical formula for the density of "Dark Matter" (DM) at all length scales, thus also for the rotation curves of stars in galaxies, for the baryonic Tully-Fisher relation and for planetary systems, from Einstein's…

General Relativity and Quantum Cosmology · Physics 2025-03-14 Peter H. Handel , Klara E. Splett

(Abridged) The relations between stellar ($M_\ast$), gas ($M_{\rm gas}$), baryonic ($M_{\rm bar} = M_\ast + M_{\rm gas}$), and dark matter halo mass ($M_{200}$) provide unique constraints on galaxy formation and cosmology. The shape of the…