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Related papers: New constraints on MOND from galaxy clusters

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We consider disk stability in the quasi-linear formulation of MOND (QUMOND), the basis for some $N$-body integrators. We generalize the Toomre criterion for the stability of disks to tightly wound, axisymmetric perturbations. We apply this…

Astrophysics of Galaxies · Physics 2019-01-23 Indranil Banik , Mordehai Milgrom , Hongsheng Zhao

We have recently discovered that the modified dynamics (MOND) implies some universal upper bound on the acceleration that can be contributed by a `dark halo'--assumed in a Newtonian analysis to account for the effects of MOND. Not…

Astrophysics · Physics 2011-02-11 Rafael Brada , Mordehai Milgrom

An important and useful relation is known to hold in two specific MOND theories. It pertains to low-acceleration, isolated systems of pointlike masses, m_p, at positions r_p, subject to gravitational forces F_p. It reads sum_p…

General Relativity and Quantum Cosmology · Physics 2014-01-17 Mordehai Milgrom

I report the current status on the determinations of the baryon fractions and dynamical/lensing masses of galaxy clusters as well as the $\sigma$ - $T$ relationship, making use of all the published data in literature which include 304…

Astrophysics · Physics 2007-05-23 Xiang-Ping Wu

We discuss the variation of cosmological upper bounds on $M_\nu$, the sum of the neutrino masses, with the choice of data sets included in the analysis, pointing out a few oddities not easily seen when all data sets are combined. For…

Astrophysics · Physics 2008-11-26 Jostein R. Kristiansen , Oystein Elgaroy , Hakon Dahle

We employ robust weak gravitational lensing measurements to improve cosmological constraints from measurements of the galaxy cluster mass function and its evolution, using X-ray selected clusters detected in the ROSAT All-Sky Survey. Our…

The observed flat rotation curves of galaxies are among a number of astrophysical phenomena which require a larger acceleration than can be provided by the Newtonian gravity of the detected baryons. The main proposed solutions are…

Astrophysics of Galaxies · Physics 2021-09-10 Indranil Banik , Charalambos Pittordis , Will Sutherland

This paper presents a study on the distinguishability of dark matter and Modified Newtonian Dynamics (MOND) at galactic scales based on the stability criterion proposed by Efstathiou, Lake, and Negroponte (ELN criterion). First, we test the…

Astrophysics of Galaxies · Physics 2025-09-24 Tahere Kashfi , Mahmood Roshan , Virginia Cuomo , Benoit Famaey , Asiyeh Habibi , Srikanth T. Nagesh

We point out an interesting theoretical prediction for elliptical galaxies residing inside galaxy clusters in the framework of modified Newtonian dynamics (MOND), that could be used to test this paradigm. Apart from the central brightest…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Xufen Wu , HongSheng Zhao , Benoit Famaey

Galaxy and galaxy clusters exhibit tight robust physical scaling relations between baryons and system dynamics. One such phenomenon is mass discrepancy with two leading solution spaces occupied by LCDM and MOND. Here, we propose an…

Astrophysics of Galaxies · Physics 2023-07-11 Jeffrey M. La Fortune

A general account of MOND theory is given. I start with the basic tenets of MOND, which posit departure from standard dynamics in the limit of low acceleration -- below an acceleration constant a0 -- where dynamics become scale invariant. I…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-16 Mordehai Milgrom

Genzel et al. have recently published the rotation curves of six high-redshift disc galaxies ($z\sim 0.9-2.4$), which they find to be `baryon dominated' within the studies radii. While not up to the standard afforded by data available for…

Astrophysics of Galaxies · Physics 2017-04-26 Mordehai Milgrom

It is a common miss-conception that 1E 0657-56, the "Bullet Cluster", is somehow inconsistent with MOND expectations. The argument centres on the fact that the baryonic matter distribution of this system is dominated by the X-ray emitting…

Astrophysics of Galaxies · Physics 2026-04-21 X. Hernandez

Recent experimental results for the gravitational constant G from Cavendish-type experiments were analysed in the framework of Modified Newtonian Dynamics (MOND). MOND corrections were applied to the equation of motion of a pendulum, under…

General Relativity and Quantum Cosmology · Physics 2020-01-20 Norbert Klein

This paper introduces a possible alternative model of gravity based on the theory of fractional-dimension spaces and its applications to Newtonian gravity. In particular, Gauss's law for gravity as well as other fundamental classical laws…

General Relativity and Quantum Cosmology · Physics 2021-02-09 Gabriele U. Varieschi

Gravitational potentials in the cosmos are deeper than expected from observed visible objects, a phenomenon usually attributed to dark matter, presumably in the form of a new fundamental particle. Until such a particle is observed, the jury…

Cosmology and Nongalactic Astrophysics · Physics 2011-12-07 Scott Dodelson

MOND is a paradigm that contends to account for the mass discrepancies in the Universe without invoking `dark' components, such as `dark matter' and `dark energy'. It does so by supplanting Newtonian dynamics and General Relativity,…

Astrophysics of Galaxies · Physics 2020-03-09 Mordehai Milgrom

MOND predicts a number of laws that galactic systems should obey irrespective of their complicated, haphazard, and mostly unknowable histories -- as Kepler's laws are obeyed by planetary systems. The main purpose of this work is to show…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-24 Mordehai Milgrom

I start with a brief introduction to MOND phenomenology and its possible roots in cosmology--a notion that may turn out to be the most far reaching aspect of MOND. Next I discuss the implications of MOND for the dark matter (DM) doctrine:…

Astrophysics · Physics 2009-06-23 Mordehai Milgrom

We combine data for extragalactic systems to quantify a relation between the observed baryonic mass $M_b$ and the enclosed dynamical mass $M_{200}$ inferred from kinematics or gravitational lensing. Our sample covers nine orders of…

Astrophysics of Galaxies · Physics 2026-03-09 Stacy McGaugh , Tobias Mistele , Francis Duey , Konstantin Haubner , Federico Lelli , Jim Schombert , Pengfei Li