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Mestel determined the surface mass distribution of the finite disk for which the circular velocity is constant in the disk and found the gravitational field for points in the $z=0$ plane. Here we find the exact closed form solutions for the…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-14 Earl Schulz

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

We derive the projected surface mass distribution Sigma_M for spherically symmetric mass distributions having an arbitrary rotation curve. For a galaxy with a flat rotation curve and an ISM disk having a constant Toomre stability parameter,…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Gerhardt R. Meurer , Zheng Zheng , W. J. G. de Blok

Massive gravity previously constructed as the spin-2 quantum gauge theory leads in the mass zero limit to a modification of general relativity. As a relic from the massive theory a vector field v survives which couples to the metric only.…

Astrophysics of Galaxies · Physics 2012-02-09 Gunter Scharf

Dark matter is one of the pillars of the current standard model of structure formation: it is assumed to constitute most of the matter in the Universe. However, it can so far only be probed indirectly through its gravitational effects, and…

The pervasive presence in space of a flux of high-speed, electrically uncharged dark matter particles is examined here for potential consequences. Dark matter interactions with ordinary matter are considered, and a model of the dark matter…

General Physics · Physics 2009-08-25 C. L. Herzenberg

After two decades of efforts to identify the enigmatic dark matter that comprises the dominant form of matter in our galaxy, the mass range for viable candidates appears to have been reduced by more than 50 orders of magnitude. Positive…

Astrophysics · Physics 2009-10-30 Robert L. Oldershaw

The explicit violation of the general gauge invariance/relativity is adopted as the origin of dark matter and dark energy of the gravitational nature. The violation of the local scale invariance alone, with the residual unimodular one, is…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Yu. F. Pirogov

The information contained in galactic rotation curves is examined under a minimal set of assumptions. If emission occurs from stable circular geodesic orbits of a static spherically symmetric field, with information propagated to us along…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Kayll Lake

Any connection between dark matter and extra dimensions can be cognizably evinced from the associated effective energy-momentum tensor. In order to investigate and test such relationship, a higher dimensional spacetime endowed with a…

General Relativity and Quantum Cosmology · Physics 2013-07-17 C. H. Coimbra-Araujo , Roldao da Rocha

The axion-like particles with ultralight mass ($\sim10^{-22}$eV) can be a possible candidate of dark matter, known as the fuzzy dark matter (FDM). These particles form Bose-Einstein condensate in the early Universe which can explain the…

General Relativity and Quantum Cosmology · Physics 2022-01-14 Shreyansh S. Dave , Sanatan Digal

The evidence of the phenomenon for which, in galaxies, the gravitating mass is distributed differently than the luminous mass, increases as new data become available. Furthermore, this discrepancy is well structured and it depends on the…

Astrophysics of Galaxies · Physics 2019-03-11 Paolo Salucci

In an arbitrary axisymmetric stationary spacetime, we determine the expression for the tangential velocity of test objects following a circular stable geodesic motion in the equatorial plane, as function of the metric coefficients. Next, we…

Astrophysics · Physics 2007-05-23 Tonatiuh Matos , Dario Nunez , F. Siddhartha Guzman , Erandy Ramirez

It has recently been proposed that the relatively inert, highly symmetric, neutral flavor singlet scalar hadron made of uuddss quarks may have a mass < 2 (m_p + m_e). This is consistent with QCD theory, and with existing accelerator and…

High Energy Physics - Phenomenology · Physics 2017-12-01 Glennys R. Farrar

A sizable fraction of the total energy density of the universe may be in heavy particles with a net dark $U(1)'$ charge comparable to its mass. When the charges have the same sign the cancellation between their gravitational and gauge…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-23 Nemanja Kaloper , Antonio Padilla

It is assumed that the quantum vacuum may be studied as consisting of two contributions, with positive and negative energy respectively, which interact but slightly and may be displaced from each other. Then it is proposed that dark matter…

General Relativity and Quantum Cosmology · Physics 2008-02-08 E. S. Corchero

We calculate the radial profiles of galaxies where the nuclear region is self-gravitating, consisting of self-interacting dark matter (SIDM) with $F$ degrees of freedom. For sufficiently high density this dark matter becomes collisional,…

Astrophysics of Galaxies · Physics 2016-09-07 Curtis J. Saxton , Ziri Younsi , Kinwah Wu

We construct gravitational atoms including self-gravity, obtaining solutions of the Einstein-Klein-Gordon equations for a scalar field surrounding a non-rotating black hole in a quasi-stationary approximation. We resolve the region near the…

General Relativity and Quantum Cosmology · Physics 2025-10-23 Miguel Alcubierre , Juan Barranco , Argelia Bernal , Juan Carlos Degollado , Alberto Diez-Tejedor , Miguel Megevand , Darío Núñez , Olivier Sarbach

We consider the problem of the flattening of the velocity curves in galactic discs and the consequent postulation of dark matter from three different but converging perspectives-- a change in the large scale dimensionality of space, a…

General Physics · Physics 2007-05-23 Burra G. Sidharth

We present the 21-cm rotation curve of the nearby galaxy M33 out to a galactocentric distance of 16 kpc (13 disk scale-lengths). The rotation curve keeps rising out to the last measured point and implies a dark halo mass larger than 5…

Astrophysics · Physics 2009-10-31 Edvige Corbelli , Paolo Salucci
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