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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

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…

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) 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

Dark matter phenomena in rotationally supported galaxies exhibit a characteristic acceleration scale of $g_\dagger \approx 1.2\times 10^{-10}$ m s$^{-2}$. Whether this acceleration is a manifestation of a universal scale, or merely an…

Astrophysics of Galaxies · Physics 2020-11-18 Kyu-Hyun Chae , Mariangela Bernardi , Helena Dominguez Sanchez , Ravi K. Sheth

The radial acceleration measured in bright galaxies tightly correlates with that generated by the observed distribution of baryons, a phenomenon known as the radial acceleration relation (RAR). Dwarf spheroidal satellite galaxies have been…

Astrophysics of Galaxies · Physics 2018-07-04 Enrico Garaldi , Emilio Romano-Díaz , Cristiano Porciani , Marcel S. Pawlowski

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) 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) 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

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 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

We review some of our recent results about the Radial Acceleration Relation (RAR) and its interpretation as either a fundamental or an emergent law. The former interpretation is in agreement with a class of modified gravity theories that…

General Relativity and Quantum Cosmology · Physics 2021-07-01 Davi C. Rodrigues , Valerio Marra

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

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) 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

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

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

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

We carry out a test of the radial acceleration relation (RAR) for a sample of 10 dynamically relaxed and cool-core galaxy clusters imaged by the Chandra X-ray telescope, which was studied in Giles et al. For this sample, we observe that the…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-21 S. Pradyumna , Shantanu Desai

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…

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