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We study the statistical mechanics of binary systems under gravitational interaction of the Modified Newtonian Dynamics (MOND) in three-dimensional space. Considering the binary systems, in the microcanonical and canonical ensembles, we…

Statistical Mechanics · Physics 2021-09-15 Mohammad H. Zhoolideh Haghighi , Sohrab Rahvar , M Reza Rahimi Tabar

We examine dense self-gravitating stellar systems dominated by a central potential, such as nuclear star clusters hosting a central supermassive black hole. Different dynamical properties of these systems evolve on vastly different…

Astrophysics of Galaxies · Physics 2017-06-20 Zacharias Roupas , Bence Kocsis , Scott Tremaine

The modified Newtonian dynamics (MOND), suggested by Milgrom as an alternative to dark matter, implies that isothermal spheres with a fixed anisotropy parameter should exhibit a near perfect relation between the mass and the fourth power of…

Astrophysics · Physics 2009-10-31 R. H. Sanders

In this paper the recent interaction model over post-Newtonian theory of gravity has been used to study the stellar dynamics. It implies space time fabric that built over the massive object gets perturbed or literally contracted in presence…

General Relativity and Quantum Cosmology · Physics 2025-01-15 Shubhen Biswas

Milgrom's modified Newtonian dynamics (MOND) has done a great job on accounting for the rotation curves of a variety of galaxies by assuming that Newtonian dynamics breaks down for extremely low acceleration typically found in the galactic…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-01 Ling-Jun Wang

We study the kinematics of stars in clusters undergoing gas expulsion in standard Newtonian dynamics and also in Milgromian dynamics (MOND). Gas expulsion can explain the observed line-of-sight (LoS) velocity dispersion profile of NGC 2419…

Astrophysics of Galaxies · Physics 2019-06-19 Xufen Wu , Pavel Kroupa

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…

Astrophysics · Physics 2007-05-23 R. H. Sanders

We developed self-consistent dynamical models of stellar systems in the framework of quasi-linear modified Newtonian dynamics (QUMOND). The models are constructed from the anisotropic distribution function of Gunn & Griffin (1979), combined…

Astrophysics of Galaxies · Physics 2023-07-26 A. Sollima , C. Nipoti , F. Calura , R. Pascale , H. Baumgardt

The stability of spiral galaxies is compared in modified Newtonian Dynamics (MOND) and Newtonian dynamics with dark matter (DM). We extend our previous simulations that involved pure stellar discs without gas, to deal with the effects of…

Astrophysics · Physics 2009-11-13 O. Tiret , F. Combes

Recent high-precision observations with HST and Gaia enabled new investigations of the internal kinematics of star clusters (SCs) and the dependence of kinematic properties on the stellar mass. These studies raised new questions about the…

Astrophysics of Galaxies · Physics 2024-09-25 Václav Pavlík , Douglas C. Heggie , Anna Lisa Varri , Enrico Vesperini

We study the effects of the external tidal field on the violent relaxation phase of star clusters dynamical evolution, with particular attention to the kinematical properties of the equilibrium configurations emerging at the end of this…

Astrophysics of Galaxies · Physics 2015-06-22 Enrico Vesperini , Anna Lisa Varri , Stephen L. W. McMillan , Stephen E. Zepf

We analyze numerically the dynamical transition to spontaneous scalarization in neutron stars in the framework of a scalar-tensor theory of gravity where the scalar field is free but massive, and it is coupled nonminimally to gravity in the…

General Relativity and Quantum Cosmology · Physics 2024-10-04 Juan Carlos Degollado , Néstor Ortiz , Marcelo Salgado

We test Milgromian dynamics (MOND) using wide binary stars (WBs) with separations of $2-30$ kAU. Locally, the WB orbital velocity in MOND should exceed the Newtonian prediction by $\approx 20\%$ at asymptotically large separations given the…

Solar and Stellar Astrophysics · Physics 2024-09-06 Indranil Banik , Charalambos Pittordis , Will Sutherland , Benoit Famaey , Rodrigo Ibata , Steffen Mieske , Hongsheng Zhao

The proximity of the MOND acceleration constant with cosmological accelerations -- for example, a0 cH0/2pi -- points to its possibly decreasing with cosmic time. I begin to consider the secular changes induced in galactic systems by such…

Astrophysics of Galaxies · Physics 2015-02-19 Mordehai Milgrom

We test the modified Newtonian dynamics (MOND) theory with the velocity-dispersion profiles of Galactic globular clusters populating the outermost region of the Milky Way halo, where the Galactic acceleration is lower than the…

Astrophysics of Galaxies · Physics 2015-05-14 A. Sollima , C. Nipoti

Unlike Newtonian dynamics which is linear and obeys the strong equivalence principle, in any nonlinear gravitation such as Milgromian dynamics (MOND), the strong version of the equivalence principle is violated and the gravitational…

Astrophysics of Galaxies · Physics 2016-03-23 Hosein Haghi , Amir E. Bazkiaei , Akram Hasani Zonoozi , Pavel Kroupa

Modified Newtonian dynamics (MOND) is an empirically motivated modification of Newtonian gravity or inertia suggested by Milgrom as an alternative to cosmic dark matter. The basic idea is that at accelerations below a0 ~ 10^{-8} cm/s^2 ~…

Astrophysics · Physics 2009-11-07 Robert H. Sanders , Stacy S. McGaugh

The works in this portfolio test the hypothesis that it is not possible to extrapolate the Newtonian inverse square law of gravity from Solar System to galaxy scales. In particular, I look into various tests of Modified Newtonian Dynamics…

Astrophysics of Galaxies · Physics 2023-09-26 Indranil Banik

Spherical neutron star models are studied within tensor-scalar theories of gravity. Particularly, it is shown that, under some conditions on the second derivative of the coupling function and on star's mass, for a given star there exist two…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Novak

We investigate the long-term dynamical evolution of the internal kinematics of multimass rotating star clusters. We have performed a set of N-body simulations to follow the internal evolution of clusters with different degrees of initial…

Astrophysics of Galaxies · Physics 2022-07-06 Alexander R. Livernois , Enrico Vesperini , Anna Lisa Varri , Jongsuk Hong , Maria Tiongco
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