ON the PROBLEM of DEFORMED SPHERICAL SYSTEMS in MODIFIED Newtonian DYNAMICS

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/101922

Title:	ON the PROBLEM of DEFORMED SPHERICAL SYSTEMS in MODIFIED Newtonian DYNAMICS
Authors:	高仲明;Ko, Chung-Ming
Contributors:	理學院天文研究所
Keywords:	ASTROPHYSICS;ASTROPHYSICS, COSMOLOGY AND ASTRONOMY;CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;Compatibility;dark matter;DEFORMATION;Dynamical systems;Dynamics;GALAXIES;galaxies: structure;gravitation;GRAVITATIONAL FIELDS;INTERPOLATION;MASS;MASS DISTRIBUTION;methods: analytical;Nonlinear dynamics;NONLINEAR PROBLEMS;NONLUMINOUS MATTER;POISSON EQUATION;RELATIVISTIC RANGE;SPHERICAL CONFIGURATION;SYMMETRY
Date:	2016-04-20
Issue Date:	2026-04-21 14:51:09 (UTC+8)
Publisher:	IOP Publishing Ltd.;United States: The American Astronomical Society
Abstract:	摘要： ABSTRACT 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 attributed to the existence of dark matter, which possesses mass but does not radiate (or absorb radiation). Alternatively, the mismatch can be explained if the underlying dynamics is not Newtonian. Within this conceptual scheme, Modified Newtonian Dynamics (MOND) is a successful theoretical paradigm. MOND is usually expressed in terms of a nonlinear Poisson equation, which is difficult to analyze for arbitrary matter distributions. We study the MONDian gravitational field generated by slightly non-spherically symmetric mass distributions based on the fact that both Newtonian and MONDian fields are conservative (which we refer to as the compatibility condition). As the non-relativistic version of MOND has two different formulations (AQUAL and QuMOND) and the compatibility condition can be expressed in two ways, there are four approaches to the problem in total. The method involves solving a suitably defined linear deformation potential, which generally depends on the choice of MOND interpolation function. However, for some specific form of the deformation potential, the solution is independent of the interpolation function. 其他題名： APJ 其他題名： Astrophys. J 出版者： United States: The American Astronomical Society 出版日期： 2016-04-20 出處： The Astrophysical journal, 2016-04, Vol.821 (2), p.111-111 資源來源： Institute of Physics Journals 版權： 2016. The American Astronomical Society. All rights reserved. 識別號： ISSN: 0004-637X 識別號： ISSN: 1538-4357 識別號： EISSN: 1538-4357 識別號： DOI: 10.3847/0004-637X/821/2/111
Appears in Collections:	[Graduate Institute of Astronomy] journal & Dissertation

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