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We investigated the impact of three different modifications of Newtonian gravity on motions of Keplerian objects within the Solar System. These objects are located at distances of the order of the distance to the Oort cloud. With these…

地球与行星天体物理 · 物理学 2015-05-19 Michael Sokaliwska , Hans-Joerg Fahr , Pavel Kroupa

We consider structure formation in a nonlocal, metric-based realization of Milgrom's MOdified Newtonian Dynamics (MOND). We derive the general equations for linearized scalar perturbations about the $\Lambda$CDM expansion history. These…

广义相对论与量子宇宙学 · 物理学 2018-05-22 L. Tan , R. P. Woodard

In the usual derivation of Einstein's equation from action, the surface terms are neglected. Hawking \cite{hw} gave a derivation of the gravitational Hamiltonian keeping all surface terms. Using such surface terms Easson et.al.\cite{ea}…

广义相对论与量子宇宙学 · 物理学 2011-04-12 Saneesh Sebastian , V. C. Kuriakose

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,…

天体物理学 · 物理学 2009-11-13 Jean-Philippe Bruneton , Stefano Liberati , Lorenzo Sindoni , Benoit Famaey

On an empirical level, the most successful alternative to dark matter in bound gravitational systems is the modified Newtonian dynamics, or MOND, proposed by Milgrom. Here I discuss the attempts to formulate MOND as a modification of…

天体物理学 · 物理学 2008-11-26 R. H. Sanders

We propose a local Lagrangian for a point particle where its inertia part is modified in the regime of small accelerations. For the standard gravitational central force, it recovers the deep MOdified Newtonian Dynamics (MOND) (accelerations…

广义相对论与量子宇宙学 · 物理学 2020-06-24 Renato Costa , Guilherme Franzmann , Jonas P. Pereira

We use a one dimensional hydrodynamical code to study the evolution of spherically symmetric perturbations in the framework of Modified Newtonian Dynamics (MOND). The code evolves spherical gaseous shells in an expanding Universe by…

天体物理学 · 物理学 2009-11-11 Adi Nusser , Etienne Pointecouteau

We consider a self-gravitating collisionless gas where the gravitational interaction is modeled according to MOND (modified Newtonian dynamics). For the resulting modified Vlasov-Poisson system we establish the existence of spherically…

数学物理 · 物理学 2013-12-17 Gerhard Rein

We consider for the first time the implications on the modified gravity MOND model of galaxies, of the presence of dark baryons, under the form of cold molecular gas in galaxy discs. We show that MOND models of rotation curves are still…

宇宙学与河外天体物理 · 物理学 2009-11-13 O. Tiret , F. Combes

We propose a technique to test the idea that non-standard dynamics, rather than dark matter halos, might be responsible for the observed rotation curves of spiral galaxies. In the absence of non-luminous matter, a galactic disk's rotational…

天体物理学 · 物理学 2007-05-23 Christopher W. Stubbs , Arti Garg

We present detailed semi-analytical models for the formation of disk galaxies both in a Universe dominated by dark matter (DM), and in one for which the force law is given by modified Newtonian dynamics (MOND). We tune the models to fit the…

天体物理学 · 物理学 2009-10-31 Frank C. van den Bosch , Julianne J. Dalcanton

A modification of general relativity is presented in which Newton's constant and the cosmological constant become a conjugate pair of dynamical variables.

高能物理 - 理论 · 物理学 2016-01-13 Lee Smolin

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,…

星系天体物理 · 物理学 2020-03-09 Mordehai Milgrom

The Modified Newtonian Dynamics (MOND) and the Universal Rotation Curve (URC) are two ways to describe the general properties of rotation curves, with very different approaches concerning dark matter and gravity. Phenomenological…

天体物理学 · 物理学 2009-11-13 Gianfranco Gentile

A novel interpretation of MOND is presented. For galactic data, in addition to Newtonian acceleration, there is an attractive acceleration peaking at Milgrom's parameter a_0. The peak lies within experimental error where a_0 = cH_0/2\pi;…

综合物理 · 物理学 2015-06-15 D. V. Bugg

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…

广义相对论与量子宇宙学 · 物理学 2014-01-17 Mordehai Milgrom

We study the dynamics of fronts when both inertial effects and external fluctuations are taken into account. Stochastic fluctuations are introduced as multiplicative noise arising from a control parameter of the system. Contrary to the…

统计力学 · 物理学 2009-10-31 Jose M. Sancho , Angel Sanchez

I estimate Modified-Dynamics (MOND), median M/L values for recently published catalogues of galaxy groups. While the median, Newtonian M/L values quoted for these catalogues are 110-200 solar units, the corresponding values for MOND are…

天体物理学 · 物理学 2009-10-30 Mordehai Milgrom

In the modified dynamics (MOND) the inner workings of dwarf satellites can be greatly affected by their mother galaxy-over and beyond its tidal effects. Because of MOND's nonlinearity a system's internal dynamics can be altered by an…

天体物理学 · 物理学 2009-10-31 Rafael Brada , Mordehai Milgrom

We simultaneously integrate in a numerical way the equations of motion of both the Magellanic Clouds (MCs) in MOND, MOG and CDM for -1 <= t <= +1 Gyr to see if, at least in principle, it is possible to discriminate between them (Abridged…

广义相对论与量子宇宙学 · 物理学 2010-01-12 Lorenzo Iorio
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