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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…

宇宙学与河外天体物理 · 物理学 2011-12-07 Scott Dodelson

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…

广义相对论与量子宇宙学 · 物理学 2021-02-09 Gabriele U. Varieschi

The Modified Newtonian Dynamics (MOND) has been formulated as a modification of the Poisson equation for the Newtonian gravitational field. This theory generically predicts a violation of the strong version of the equivalence principle, and…

宇宙学与河外天体物理 · 物理学 2011-04-26 Luc Blanchet , Jerome Novak

The MOdified Newtonian Dynamics (MOND) is presented here, as well as a theory that can be linked to it: the theory of the Aether, a four-vector field breaking Lorentz invariance. The form of its Lagrangian is studied, then basic equations…

天体物理学 · 物理学 2007-10-23 Anaelle Halle

After reviewing the modified Newtonian dynamics (MOND) proposal, we advocate that the associated phenomenology may actually not result from a modification of Newtonian gravity, but from a mechanism of "gravitational polarization" of some…

天体物理学 · 物理学 2008-07-09 Luc Blanchet , Alexandre Le Tiec

MOND dynamics consists of a modification of the acceleration with respect to the one provided by Newtonian mechanics. In this paper we investigate whether it can be derived from a velocity-dependent deformation of the coordinates of the…

广义相对论与量子宇宙学 · 物理学 2017-02-01 Ennio Gozzi

We review galaxy formation and dynamics under the MOND hypothesis of modified gravity, and compare to similar galaxies in Newtonian dynamics with dark matter. The aim is to find peculiar predictions both to discriminate between various…

宇宙学与河外天体物理 · 物理学 2015-05-14 F. Combes , O. Tiret

We present a new test of modified Newtonian dynamics (MOND) on galactic scales, based on the escape speed in the solar neighbourhood. This test is independent from other empirical successes of MOND at reproducing the phenomenology of…

天体物理学 · 物理学 2009-10-08 Benoit Famaey , Jean-Philippe Bruneton , HongSheng Zhao

Galactic systems, and the Universe at large, exhibit large dynamical anomalies: The observed matter in them falls very short of providing enough gravity to account for their dynamics. The mainstream response to this conundrum is to invoke…

星系天体物理 · 物理学 2017-07-25 Mordehai Milgrom

We derive a relativistic extension of Modified Newtonian Dynamics (MOND) within the framework of entropic gravity by introducing temperature-dependent corrections to the equipartition law on a holographic screen. Starting from a Debye-like…

广义相对论与量子宇宙学 · 物理学 2025-11-11 A. Rostami , K. Rezazadeh , M. Rostampour

Dwarf and low surface brightness galaxies are ideal objects to test modified Newtonian dynamics (MOND), because in most of these galaxies the accelerations fall below the threshold below where MOND supposedly applies. We have selected from…

宇宙学与河外天体物理 · 物理学 2015-05-19 R. A. Swaters , R. H. Sanders , S. S. McGaugh

The discrepancy between two recently reported experimental values of the gravitational constant G was analysed within a differential version of MOND theory. In contrast to the most commonly accepted interpretation of MOND theory, it is…

广义相对论与量子宇宙学 · 物理学 2016-04-14 Norbert Klein

Although the modified dynamics (MOND) proposed by Milgrom successfully accounts for the systematics of galaxy rotation curves and cluster dynamics without invoking dark matter, the idea remains a largely ad hoc modification of Newtonian…

天体物理学 · 物理学 2009-10-28 R. H. Sanders

We investigate the consequences of Birkhoff's theorem in general relativity (GR) and in Modified Newtonian dynamics (MOND). We study, in particular, the system of a finite-mass test particle inside a spherical shell. In both GR and MOND, we…

天体物理学 · 物理学 2010-04-06 De-Chang Dai , Reijiro Matsuo , Glenn Starkman

I describe the MOND paradigm, which posits a departure from standard physics below a certain acceleration scale. This acceleration as deduced from the dynamics in galaxies is found mysteriously to agree with the cosmic acceleration scales…

宇宙学与河外天体物理 · 物理学 2010-10-11 Mordehai Milgrom

A new class of modified gravity theories, made possible by subtle features of the canonical formulation of general covariance, naturally allows MOND-like behavior (MOdified Newtonian Dynamics) in effective space-time solutions without…

广义相对论与量子宇宙学 · 物理学 2023-11-01 Martin Bojowald , Erick I. Duque

Milgrom has proposed that the appearance of discrepancies between the Newtonian dynamical mass and the directly observable mass in astronomical systems could be due to a breakdown of Newtonian dynamics in the limit of low accelerations…

天体物理学 · 物理学 2007-05-23 R. H. Sanders

General analytic arguments lead us to expect that in the modified dynamics (MOND) self-gravitating disks are more stable than their like in Newtonian dynamics. We study this question numerically, using a particle-mesh code based on a…

天体物理学 · 物理学 2014-10-13 Rafael Brada , Mordehai Milgrom

We examine the implications of Modified Newtonian Dynamics (MOND) on the large scale structure in a Friedmann-Robertson-Walker universe. We employ a ``Jeans swindle'' to write a MOND-type relationship between the fluctuations in the density…

天体物理学 · 物理学 2009-11-07 Adi Nusser

The observed dynamics of gas and stars on galactic and larger scales cannot be accounted for by self-gravity, indicating that there are large quantities of unseen matter, or that gravity is non-Newtonian in these regimes. Milgrom's MOdified…

天体物理学 · 物理学 2019-08-17 Anthony Aguirre , Joop Schaye , Eliot Quataert