MOND与熵引力的一些理论研究

发布时间：2018-06-04 19:50

本文选题：MOND理论 + TeVeS理论　；参考：《南京师范大学》2011年硕士论文

【摘要】：在不引入暗物质的情况下, MOND可以成功地解释众多星系动力学现象。但是MOND只是一个唯象理论,为了给出一个完备的理论,后续发展了一些非相对论与相对论理论。宇宙大尺度的引力场强度在10-10,m/s2量级,这正是MOND效应可以出现的场强。牛顿力学给出宇宙学方程,在本文中我们尝试由MOND给出宇宙学方程。我们发现方程与随动坐标是相关的。当我们认为α0是与随动坐标相关的,若取线性关系,我们也可以给出合理的宇宙学方程。与牛顿宇宙学类似,本质上我.们还是需要一个相对论性的MOND。我们还研究了TeVeS理论的暗能量行为。在缓滚场近似下,在Bekenstein工作的基础了给出一个新的正自由函数F(μ),在不需要引入暗能量的情况下可以解释宇宙近期的加速膨胀。 Verlinde的熵力理论给予引力新的解释。在Gao等人工作的基础上,我们发现能量均分定理的一维德拜函数修正可以自然地给出MOND理论,并可以给出Milgrom经验公式。由修正的Raychaudhuri方程,我们可以给出修正的宇宙学方程,通过近似我们发现一维德拜函数修正也可以给出宇宙加速膨胀。通过对Unruh公式在惯性系与非惯性系的研究,若将熵力解释为Unruh温度差,我们发现也可以给出MOND理论。通过静态时空向动态时空的推广,我们发现在不使用爱因斯坦场方程的情况下可以由熵力直接给出正确的宇宙学方程。
[Abstract]:Without the introduction of dark matter, MOND can successfully explain many galactic dynamics. But MOND is just a phenomenological theory. In order to give a complete theory, some non-relativistic and relativistic theories have been developed. The gravitational field intensity on a large scale in the universe is in the order of 10 ~ 10 m / s ~ (2), which is exactly the field strength of the MOND effect. The cosmological equation is given in Newtonian mechanics. In this paper, we try to give the cosmological equation by MOND. We find that the equation is related to the following coordinates. When we think that 伪 0 is related to the following coordinates, we can also give a reasonable cosmological equation if the linear relation is taken. Similar to Newtonian cosmology, I am essentially me. We still need a relativistic MOND. We also study the dark energy behavior of TeVeS theory. On the basis of Bekenstein's work, a new positive free function F (渭), which can explain the accelerating expansion of the universe in the near future without introducing dark energy, is given in the case of slow racefield approximation. Verlinde's entropy theory gives a new explanation for gravity. Based on the work of Gao et al, we find that the one-dimensional Debye function correction of the energy equalization theorem can naturally give the MOND theory and the Milgrom empirical formula. From the modified Raychaudhuri equation, we can give the modified cosmological equation. We find that the one-dimensional Debye function correction can also give the acceleration of the expansion of the universe. Through the study of the Unruh formula in the inertial and non-inertial systems, if the entropy force is interpreted as the Unruh temperature difference, we find that the MOND theory can also be given. By extending the static space-time to the dynamic space-time, we find that the correct cosmological equation can be obtained directly from the entropy force without using the Einstein field equation.
【学位授予单位】：南京师范大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：P145.9

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