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We report a correlation between the radial acceleration traced by rotation curves and that predicted by the observed distribution of baryons. The same relation is followed by 2693 points in 153 galaxies with very different morphologies,…

Astrophysics of Galaxies · Physics 2016-11-15 Stacy McGaugh , Federico Lelli , Jim Schombert

A strong correlation has been measured between the observed centripetal accelerations in galaxies and the accelerations implied by the baryonic components of galaxies. This empirical radial acceleration relation must be accounted for in any…

I review the data relating to the appearance of the missing mass problem at a particular acceleration scale. Rotation curves are examined in detail, with emphasis on the empirical connection between baryonic and total mass distributions.…

Astrophysics · Physics 2007-05-23 Stacy McGaugh

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

`Conspiracy' between the dark and the baryonic mater prohibits an unambiguous decomposition of disc galaxy rotation curves into the corresponding components. Several methods have been proposed to counter this difficulty, but their results…

Astrophysics of Galaxies · Physics 2015-06-18 E. Athanassoula

The recent findings of Romanowsky et al., of an ``unexpectedly'' small mass discrepancy within 5 effective radii in several elliptical galaxies, are not surprising in the context of MOND. As we show here, they are, in fact, in full…

Astrophysics · Physics 2009-11-10 Mordehai Milgrom , Robert H. Sanders

Observations of velocity dispersions of galactic structures over a wide range of scales point to the existence of a universal acceleration scale $a_0\sim 10^{-10}$ m/s$^2$. Focusing on the fuzzy dark matter paradigm, which proposes…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-15 Douglas Edmonds , Joshua Erlich , Djordje Minic , Tatsu Takeuchi

We investigate how different models that have been proposed for solving the dark matter problem can fit the velocity dispersion observed around elliptical galaxies, on either a small scale (~ 20kpc) with stellar tracers, such as planetary…

Astrophysics · Physics 2009-11-13 O. Tiret , F. Combes , G. W. Angus , B. Famaey , H. S. Zhao

There are many well-known correlations between dark matter and baryons that exist on galactic scales. These correlations can essentially be encompassed by a simple scaling relation between observed and baryonic accelerations, historically…

High Energy Physics - Phenomenology · Physics 2023-01-19 Mariangela Lisanti , Matthew Moschella , Nadav Joseph Outmezguine , Oren Slone

We examine the circular velocity profiles of galaxies in {\Lambda}CDM cosmological hydrodynamical simulations from the EAGLE and LOCAL GROUPS projects and compare them with a compilation of observed rotation curves of galaxies spanning a…

In spiral galaxies, we explain their non-Keplerian rotation curves (RCs) by means of a non-luminous component embedding their stellar-gaseous disks. Understanding the detailed properties of this component (labelled Dark Matter, DM) is one…

Cosmology and Nongalactic Astrophysics · Physics 2012-05-21 Gianluca Castignani , Noemi Frusciante , Daniele Vernieri , Paolo Salucci

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

Two incorrect arguments against MOND in elliptical galaxies could be that the equivalent circular velocity curves tend to become flat at much larger accelerations than in spiral galaxies, and that the Newtonian dark matter halos are more…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Tom Richtler , Benoit Famaey , Gianfranco Gentile , Ylva Schuberth

We examine the inner profiles of the rotation curves of galaxies in the velocity range from dwarf galaxies to Milky-way like galaxies, having maximum of rotation, $V_{\rm max}$, in the range [30-250] km/s, whose diversity is much larger…

Astrophysics of Galaxies · Physics 2024-10-11 A. Del Popolo , M. Le Delliou

The Scale-Invariant Vacuum (SIV) theory is based on Weyl's Integrable Geometry, endowed with a gauge scalar field. The main difference between MOND and the SIV theory is that the first considers a global dilatation invariance of space and…

General Relativity and Quantum Cosmology · Physics 2020-01-16 Andre Maeder , Vesselin G. Gueorguiev

A galaxy-independent radial scaling of the SPARC rotation-curve data reveals a common structure of dark-matter halos across galaxies. Using all 2693 rotation-curve measurements from the 153 SPARC galaxies, we analyze the data within a…

Astrophysics of Galaxies · Physics 2026-05-27 P. Steffen

The Baryonic Tully-Fisher Relation (BTFR) links baryonic mass of rotationally supported galaxies to their flat disk velocities. A popular form of the BTFR linked to MOND is based on an empirically determined characteristic acceleration, a0…

Astrophysics of Galaxies · Physics 2021-01-06 Jeffrey M. La Fortune

Given the recently deduced relationship between X-ray temperatures and stellar velocity dispersions (the "T-sigma relation") in an optically complete sample of elliptical galaxies (Davis & White 1996), we demonstrate that L>L_* ellipticals…

Astrophysics · Physics 2009-10-31 Michael Loewenstein , Raymond E. White

Recent observations of anomalous line-of-sight velocity dispersions of two ultra-diffuse galaxies (UDGs) provide a stringent test for modified gravity theories. While NGC 1052-DF2 exhibits an extremely low dispersion value ($\sigma \sim…

General Relativity and Quantum Cosmology · Physics 2020-08-04 Tousif Islam

The standard theory of galaxy formation predicts that all galaxies should contain dark matter, yet a handful of recently discovered galaxies appear to lack it, challenging our understanding of galaxy formation. We investigate whether such…

Astrophysics of Galaxies · Physics 2026-05-13 Michal Bílek