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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 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

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

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) 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

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…

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 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

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

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

Recently, from the new Spitzer Photometry and Accurate Rotation Curves (SPARC) data, McGaugh et al. (2016) reported a tight Radial Acceleration Relation (RAR) between the observed total acceleration and the acceleration produced by baryons…

Astrophysics of Galaxies · Physics 2019-07-11 Yong Tian , Chung-Ming Ko

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

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

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

MOdified Newtonian Dynamics (MOND) is an alternative to the standard Cold Dark Matter (CDM) paradigm which proposes an alteration of Newton's laws of motion at low accelerations, characterized by a universal acceleration scale a_0. It…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-23 Alexander C. Mayer , Adelheid F. Teklu , Klaus Dolag , Rhea-Silvia Remus

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 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

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

Recent analysis \citep{McGaugh2016} of the SPARC galaxy sample found a surprisingly tight relation between the radial acceleration inferred from the rotation curves, and the acceleration due to the baryonic components of the disc. It has…

Astrophysics of Galaxies · Physics 2017-02-16 B. W. Keller , J. W. Wadsley
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