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The radial acceleration relation (RAR) locally relates the `observed' acceleration inferred from the dynamics of a system to the acceleration implied by its baryonic matter distribution. The relation as traced by galaxy rotation curves is…

Astrophysics of Galaxies · Physics 2020-12-17 Kyle A. Oman , Margot M. Brouwer , Aaron D. Ludlow , Julio F. Navarro

Although the standard cosmological model, the so-called $\Lambda$ Cold Dark Matter ("$\Lambda$CDM"), appears to fit well observations at the cosmological level, it is well known that it possesses several inconsistencies at the galactic…

Astrophysics of Galaxies · Physics 2021-03-24 Luis E. Padilla , Jordi Solís-López , Tonatiuh Matos , Ana Ávilez-López

The radial acceleration relation (RAR) links observed and baryonic accelerations, and is best established in rotation curves of late-type galaxies. Pulsar timing, which measures line-of-sight (LOS) differential accelerations between the Sun…

Astrophysics of Galaxies · Physics 2026-05-08 Tariq Yasin , Harry Desmond

We use the mass discrepancy-acceleration relation (the correlation between the ratio of total-to-visible mass and acceleration in galaxies; MDAR) to test the galaxy-halo connection. We analyse the MDAR using a set of 16 statistics that…

Astrophysics of Galaxies · Physics 2016-11-28 Harry Desmond

Keller and Wadsley (2016) have smugly suggested, recently, that the end of MOND may be in view. This is based on their claim that their highly-restricted sample of $\Lambda$CDM-simulated galaxies are "consistent" with the observed MOND…

Astrophysics of Galaxies · Physics 2016-10-25 Mordehai Milgrom

Galaxies covering several orders of magnitude in stellar mass and a variety of Hubble types have been shown to follow the "Radial Acceleration Relation" (RAR), a relationship between $g_{\rm obs}$, the observed circular acceleration of the…

Astrophysics of Galaxies · Physics 2019-09-11 Coral Wheeler , Philip F. Hopkins , Olivier Doré

The Radial Acceleration Relation (RAR) connects the total gravitational acceleration of a galaxy at a given radius, $a_{\rm tot}(r)$, with that accounted for by baryons at the same radius, $a_{\rm bar}(r)$. The shape and tightness of the…

The Radial Acceleration Relation (RAR) shows a strong correlation between two accelerations associated to galaxy rotation curves. The relation between these accelerations is given by a nonlinear function which depends on an acceleration…

Astrophysics of Galaxies · Physics 2020-05-12 Valerio Marra , Davi C. Rodrigues , Álefe O. F. de Almeida

We present measurements of the radial gravitational acceleration around isolated galaxies, comparing the expected gravitational acceleration given the baryonic matter with the observed gravitational acceleration, using weak lensing…

The radial acceleration relation (RAR) represents a tight empirical relation between the inferred total and baryonic centripetal accelerations, $g_{\rm{tot}}=GM_{\rm{tot}}(<r)/r^2$ and $g_{\rm{bar}}=GM_{\rm{bar}}(<r)/r^2$, observed in…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-25 Sut-Ieng Tam , Keiichi Umetsu , Andrew Robertson , Ian G. McCarthy

McGaugh et al. (2016) have used their extensive SPARC sample to update the well-known mass-discrepancy-acceleration relation (MDAR), which is one of the major predicted "MOND laws". This is not a newly discovered relation. Rather, it…

Astrophysics of Galaxies · Physics 2016-10-10 Mordehai Milgrom

We use a semi-empirical model to investigate the radial acceleration relation (RAR) in a cold dark matter (CDM) framework. Specifically, we build 80 model galaxies covering the same parameter space as the observed galaxies in the SPARC…

Astrophysics of Galaxies · Physics 2022-03-30 Pengfei Li , Stacy S. McGaugh , Federico Lelli , Yong Tian , James M. Schombert , Chung-Ming Ko

The Radial Acceleration Relation confirms that a nontrivial acceleration scale can be found in the average internal dynamics of galaxies. The existence of such a scale is not obvious as far as the standard cosmological model is concerned,…

Astrophysics of Galaxies · Physics 2018-07-31 Davi C. Rodrigues , Valerio Marra , Antonino del Popolo , Zahra Davari

Mc Gaugh et al. (2016) have found, by investigating a large sample of Spirals, a tight non linear relationship between the total radial acceleration, connected with the Dark Matter phenomenon, and its component which comes from the…

Astrophysics of Galaxies · Physics 2017-02-03 Paolo Salucci

Galaxies have been observed to exhibit a level of simplicity unexpected in the complex galaxy formation scenario posited by standard cosmology. This is particularly apparent in their dynamics, where scaling relations display much regularity…

Astrophysics of Galaxies · Physics 2024-02-21 Richard Stiskalek , Harry Desmond

Most galaxies closely follow the radial acceleration relation (RAR), which tightly links the observed accelerations to those predicted by Newtonian gravity from visible baryonic matter. Galaxy clusters, however, deviate from this relation.…

Astrophysics of Galaxies · Physics 2026-03-26 Michal Bílek , Florent Renaud , Srdjan Samurović

Low-acceleration space-time scale invariant dynamics (SID, Milgrom 2009a) predicts two fundamental correlations known from observational galactic dynamics: the baryonic Tully-Fisher relation (BTFR) and a correlation between the observed…

Astrophysics of Galaxies · Physics 2014-10-27 Xufen Wu , Pavel Kroupa

The radial acceleration relation (RAR) is a fundamental relation linking baryonic and dark matter in galaxies by relating the observed acceleration derived from dynamics to the one estimated from the baryonic mass. This relation exhibits…

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

The radial acceleration relation (RAR) in galaxies describes a tight empirical scaling law between the total acceleration $g_\mathrm{tot}(r)=GM_\mathrm{tot}(<r)/r^2$ observed in galaxies and that expected from their baryonic mass…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-17 Yong Tian , Keiichi Umetsu , Chung-Ming Ko , Megan Donahue , I-Non Chiu