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Recent observations of rotationally supported galaxies show a tight correlation between the observed radial acceleration at every radius and the Newtonian acceleration generated by the baryonic mass distribution, the so-called radial…

Astrophysics of Galaxies · Physics 2019-07-04 Amir Ghari , Hosein Haghi , Akram Hasani Zonoozi

A tight correlation between the baryonic and observed acceleration of galaxies has been reported over a wide range of mass ($10^8 < M_{\rm bar}/{\rm M}_\odot < 10^{11}$) - the Radial Acceleration Relation (RAR). This has been interpreted as…

We study the radial acceleration relation (RAR) between the total ($a_{\rm tot}$) and baryonic ($a_{\rm bary}$) centripetal acceleration profiles of central galaxies in the cold dark matter (CDM) paradigm. We analytically show that the RAR…

Astrophysics of Galaxies · Physics 2021-08-04 Aseem Paranjape , Ravi K. Sheth

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…

Galaxies follow a tight radial acceleration relation (RAR): the acceleration observed at every radius correlates with that expected from the distribution of baryons. We use the Markov Chain Monte Carlo method to fit the mean RAR to 175…

Astrophysics of Galaxies · Physics 2018-07-04 Pengfei Li , Federico Lelli , Stacy S. McGaugh , James M. Schombert

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…

Recently, the discovery of the radial acceleration relation (RAR) in galaxies has been regarded as an indirect support of alternative theories of gravity such as Modified Newtonian Dynamics (MOND) and modified gravity. This relation…

Astrophysics of Galaxies · Physics 2020-04-15 Man Ho Chan , Antonino Del Popolo

The radial acceleration relation (RAR) of late-type galaxies relates their dynamical acceleration, $g_\text{obs}$, to that sourced by baryons alone, $g_\text{bar}$, across their rotation curves. Literature fits to the RAR have fixed the…

Astrophysics of Galaxies · Physics 2024-02-27 Harry Desmond

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

Recently, many studies seem to reveal the existence of some correlations between dark matter and baryonic matter. In particular, the unexpected tight Radial Acceleration Relation (RAR) discovered in rotating galaxies has caught much…

Astrophysics of Galaxies · Physics 2022-12-07 Man Ho Chan , Shantanu Desai , Antonino Del Popolo

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 dynamical mass of galaxies and the Newtonian acceleration generated from the baryons have been found to be strongly correlated. This correlation is known as 'Mass-Discrepancy Acceleration Relation' (MDAR). Further investigations have…

Astrophysics of Galaxies · Physics 2020-05-07 Tousif Islam , Koushik Dutta

In the past few decades, many studies revealed that there exist some apparent universal relations which can describe the dynamical properties in galaxies. In particular, the radial acceleration relation (RAR) is one of the most popular…

Astrophysics of Galaxies · Physics 2024-01-17 Man Ho Chan

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

We examine whether the radial acceleration relation (RAR) of dwarf galaxies can be explained by Verlinde's emergent gravity. This is the extension of arXiv:2206.11685v3, which examines the RAR of typical spiral galaxies, to less massive…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Sanghyeon Han , Ho Seong Hwang , Youngsub Yoon

Recent studies reveal a radial acceleration relation (RAR) in galaxies, which illustrates a tight empirical correlation connecting the observational acceleration and the baryonic acceleration with a characteristic acceleration scale.…

Astrophysics of Galaxies · Physics 2024-04-23 Yong Tian , Chung-Ming Ko , Pengfei Li , Stacy McGaugh , Shemile L. Poblete

The radial acceleration relation (RAR) is a tight empirical correlation between the observed radial acceleration (a_tot) and the baryonic radial acceleration (a_bar) measured across galaxy radii: these two accelerations start to deviate…

Astrophysics of Galaxies · Physics 2026-05-20 B. I. Ciocan , N. F. Bouché , J. Fensch , D. Krajnović , J. Freundlich , H. Desmond , B. Famaey , R. Techi

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

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

The central regions of nearby elliptical galaxies are dominated by baryons (stars) and provide interesting laboratories for studying the radial acceleration relation (RAR). We carry out exploratory analyses and discuss the possibility of…

Astrophysics of Galaxies · Physics 2020-07-15 Kyu-Hyun Chae , Mariangela Bernardi , Ravi K. Sheth , In-Taek Gong
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