Modified inertia as nonconservative Newtonian dynamics,Physical Review D

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Modified inertia as nonconservative Newtonian dynamics
Physical Review D ( IF 4.6 ) Pub Date : 2021-10-19 , DOI: 10.1103/physrevd.104.084070
Ahmad Shariati ₁ , Nosratollah Jafari ₂

Affiliation

Modified Newtonian dynamics by Milgrom is a paradigm for explaining the rotation curves of spiral galaxies and various other large scale structures. This paradigm includes several different theories. Here we present Milgrom’s modifed inertia (MI) theory in terms of a simple and tractable nonconservative Newtonian dynamics, which is useful in obtaining observable predictions of MI. It is found that: 1) Modified inertia theory is equivalent to a Newtonian theory, with a nonconservative gravitational field, and dark matter density; 2) The tidal force in the equivalent Newtonian dynamics is nonconservative, and its effect on a binary system in free fall in the gravitational field of a spheroid is addressed. We also discuss attempts to restore conservations in MI.

中文翻译：

作为非保守牛顿动力学的修正惯性

Milgrom 的修正牛顿动力学是解释螺旋星系和其他各种大型结构旋转曲线的范例。这种范式包括几种不同的理论。在这里，我们根据简单易处理的非保守牛顿动力学介绍了 Milgrom 的修正惯性 (MI) 理论，这对于获得 MI 的可观察预测非常有用。发现： 1）修正惯性理论等价于牛顿理论，引力场非守恒，暗物质密度大；2) 等效牛顿动力学中的潮汐力是非守恒的，并且讨论了它对椭球体引力场中自由落体中的二元系统的影响。我们还讨论了在 MI 中恢复保护的尝试。

更新日期：2021-10-19

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