本文選題：MOND理論 + TeVeS理論�。� 參考：《南京師范大學(xué)》2011年碩士論文

【摘要】：在不引入暗物質(zhì)的情況下, MOND可以成功地解釋眾多星系動(dòng)力學(xué)現(xiàn)象。但是MOND只是一個(gè)唯象理論,為了給出一個(gè)完備的理論,后續(xù)發(fā)展了一些非相對(duì)論與相對(duì)論理論。 宇宙大尺度的引力場(chǎng)強(qiáng)度在10-10,m/s2量級(jí),這正是MOND效應(yīng)可以出現(xiàn)的場(chǎng)強(qiáng)。牛頓力學(xué)給出宇宙學(xué)方程,在本文中我們嘗試由MOND給出宇宙學(xué)方程。我們發(fā)現(xiàn)方程與隨動(dòng)坐標(biāo)是相關(guān)的。當(dāng)我們認(rèn)為α0是與隨動(dòng)坐標(biāo)相關(guān)的,若取線性關(guān)系,我們也可以給出合理的宇宙學(xué)方程。與牛頓宇宙學(xué)類似,本質(zhì)上我.們還是需要一個(gè)相對(duì)論性的MOND。 我們還研究了TeVeS理論的暗能量行為。在緩滾場(chǎng)近似下,在Bekenstein工作的基礎(chǔ)了給出一個(gè)新的正自由函數(shù)F(μ),在不需要引入暗能量的情況下可以解釋宇宙近期的加速膨脹。 Verlinde的熵力理論給予引力新的解釋。在Gao等人工作的基礎(chǔ)上,我們發(fā)現(xiàn)能量均分定理的一維德拜函數(shù)修正可以自然地給出MOND理論,并可以給出Milgrom經(jīng)驗(yàn)公式。由修正的Raychaudhuri方程,我們可以給出修正的宇宙學(xué)方程,通過(guò)近似我們發(fā)現(xiàn)一維德拜函數(shù)修正也可以給出宇宙加速膨脹。通過(guò)對(duì)Unruh公式在慣性系與非慣性系的研究,若將熵力解釋為Unruh溫度差,我們發(fā)現(xiàn)也可以給出MOND理論。通過(guò)靜態(tài)時(shí)空向動(dòng)態(tài)時(shí)空的推廣,我們發(fā)現(xiàn)在不使用愛因斯坦場(chǎng)方程的情況下可以由熵力直接給出正確的宇宙學(xué)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 偽 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.
【學(xué)位授予單位】：南京師范大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2011
【分類號(hào)】：P145.9

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