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Observations of galaxies suggest a one-to-one analytic relation between the inferred gravity of dark matter at any radius and the enclosed baryonic mass, a relation summarized by Milgrom's law of modified Newtonian dynamics (MOND). However,…

Astrophysics · Physics 2009-11-13 Jean-Philippe Bruneton , Stefano Liberati , Lorenzo Sindoni , Benoit Famaey

Various theories, such as MOND, MOG, Emergent Gravity and $f(R)$ theories avoid dark matter by assuming a change in General Relativity and/or in Newton's law. Galactic rotation curves are typically described well. Here the application to…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-28 Theodorus Maria Nieuwenhuizen

We study the amplitude of the weak gravitational lensing signal as a function of stellar mass around a sample of relatively isolated galaxies. This selection of lenses simplifies the interpretation of the observations, which consist of data…

Astrophysics · Physics 2009-11-13 Lanlan Tian , Henk Hoekstra , Hongsheng Zhao

The mass derived from gravitational lensing reflects the total mass contained in the lensing system, independent of the specific matter contents and states. A comparison of the dynamical masses from hydrostatic equilibrium with the…

Astrophysics · Physics 2009-10-22 Xiang-Ping Wu

We propose to use multiple-imaged gravitational lenses to set limits on gravity theories without dark matter, specificly TeVeS (Bekenstein 2004), a theory which is consistent with fundamental relativistic principles and the phenomenology of…

Astrophysics · Physics 2009-11-11 HongSheng Zhao , David J. Bacon , Andy N. Taylor , Keith Horne

A modified gravitational theory explains early universe and late time cosmology, galaxy and galaxy cluster dynamics. The modified gravity (MOG) theory extends general relativity (GR) by three extra degrees of freedom: a scalar field $G$,…

General Relativity and Quantum Cosmology · Physics 2020-10-30 J. W. Moffat

Despite consistent progress in numerical simulations, the observable properties of galaxy clusters are difficult to predict ab initio. It is therefore important to compare both theoretical and observational results to a direct measure of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Henk Hoekstra , Matthias Bartelmann , Haakon Dahle , Holger Israel , Marceau Limousin , Massimo Meneghetti

Gravitational lensing is brightening of background objects due to deflection of light by foreground sources. Rich clusters of galaxies are very effective lenses because they are centrally concentrated. Such natural Gravitational Telescopes…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-19 Margarita Safonova

Astrophysical data analysis of the weak-field predictions support the claim that modified gravity (MOG) theories provide a self-consistent, scale-invariant, universal description of galaxy rotation curves, without the need of non-baryonic…

Astrophysics of Galaxies · Physics 2009-08-09 J. R. Brownstein

Modified Newtonian dynamics (MOND) and similar proposals can (at least partially) explain the excess rotation of galaxies or the equivalent mass-discrepancy acceleration, without (or by reducing) the requirement of dark matter halos. This…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Robert Monjo

A new relativistic formulation of MOND is advanced, involving two metrics as independent degrees of freedom: the MOND metric g_mn, to which alone matter couples, and an auxiliary metric g*_mn. The main idea hinges on the fact that we can…

General Relativity and Quantum Cosmology · Physics 2010-05-05 Mordehai Milgrom

Astronomical observations reveal a major deficiency in our understanding of physics $-$ the detectable mass is insufficient to explain the observed motions in a huge variety of systems given our current understanding of gravity, Einstein's…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-07 Indranil Banik , Hongsheng Zhao

Modified Newtonian dynamics (Mond) has had considerable success in describing motions in galaxies. It uses a single force which falls off inversely with the distance at large distances and inversely with the square of the distance at…

Astrophysics of Galaxies · Physics 2015-06-18 Peter Rastall

The recent years have seen combined measurements of X-ray and (weak) lensing contours for colliding galaxy clusters such as, for instance, the famous "Bullet" cluster. These observations have revealed offsets in the peaks of the baryonic…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 Alexander Knebe , Claudio Llinares , Xufen Wu , HongSheng Zhao

A proper test of Modified Newtonian Dynamics (MOND) in systems of non-trivial geometries depends on modelling subtle differences in several versions of its postulated theories. This is especially important for lensing and dynamics of barely…

Astrophysics · Physics 2008-11-26 Garry W. Angus , Benoit Famaey , HongSheng Zhao

A sample of 197 X-ray emitting clusters of galaxies is considered in the context of Milgrom's modified Newtonian dynamics (MOND). It is shown that the gas mass, extrapolated via an assumed $\beta$ model to a fixed radius of 3 Mpc, is…

Astrophysics · Physics 2009-10-30 R. H. Sanders

We highlight phenomenological aspects of Verlinde's recent proposal to account for the mass anomalies in galactic systems without dark matter -- in particular in their relation to MOND. Welcome addition to the MOND lore as it is, this…

Astrophysics of Galaxies · Physics 2017-01-18 Mordehai Milgrom , Robert H. Sanders

Based on Newtonian dynamics, observations show that the luminous masses of astrophysical objects that are the size of a galaxy or larger are not enough to generate the measured motions which they supposedly determine. This is typically…

General Relativity and Quantum Cosmology · Physics 2016-04-22 Chung-Ming Ko

We consider modifications of General Relativity obtained by adding the logarithm of some curvature invariants to the Einstein-Hilbert action. These non-linear actions can explain the late-time acceleration of the universe giving an…

Astrophysics · Physics 2007-05-23 I. Navarro , K. Van Acoleyen

We investigate the possibility of discriminating between Modified Newtonian Dynamics (MOND) and Newtonian gravity with dark matter, by studying the vertical dynamics of disk galaxies. We consider models with the same circular velocity in…

Astrophysics · Physics 2009-06-23 Carlo Nipoti , Pasquale Londrillo , HongSheng Zhao , Luca Ciotti