本文選題：全息暗能量 + statefinder參數(shù)　； 參考：《大連理工大學(xué)》2010年博士論文

【摘要】： 1998年超新星的觀測發(fā)現(xiàn)宇宙正處于加速膨脹階段,隨后的諸多觀測如威爾金森微波各向異性探測器、宇宙微波背景輻射、斯隆數(shù)字天宇測量和宇宙大尺度結(jié)構(gòu)等天文觀測數(shù)據(jù)均證實(shí)了這一現(xiàn)象。而推動(dòng)這一加速的理論機(jī)制是需要宇宙含有一種具有負(fù)壓強(qiáng)的介質(zhì),由于其在大尺度范圍內(nèi)不結(jié)團(tuán),彌漫在整個(gè)宇宙空間,所以被稱為“暗能量”。為此,人們構(gòu)造了眾多的暗能量模型來描述宇宙的加速膨脹。最簡單的是宇宙學(xué)常數(shù)模型,動(dòng)力學(xué)標(biāo)量場模型的狀態(tài)方程參數(shù)可以隨時(shí)間演化,還有通過改變時(shí)空的幾何結(jié)構(gòu)來實(shí)現(xiàn)宇宙加速膨脹的修正引力理論。近來,量子引力研究的一個(gè)重要結(jié)果——全息原理被應(yīng)用到了宇宙學(xué)中,產(chǎn)生了全息暗能量模型。因?yàn)閺谋举|(zhì)上說,暗能量問題應(yīng)該是一個(gè)量子引力問題,因此全息暗能量模型可能具有暗能量基本理論的某些重要特征。 本文首先以一種具有一般形式的全息暗能量模型為基礎(chǔ),將其拓展到暗能量與暗物質(zhì)存在相互作用的情形。在一定邊界條件下,我們給出了相互作用模型中重要參數(shù)的解析形式和最佳擬合值。從其演化行為中,可見這種模型能夠解決精細(xì)調(diào)節(jié)、宇宙巧合、因果性等問題,而且保持了全息暗能量一系列模型的形式一致性。此外,當(dāng)考慮有效狀態(tài)方程時(shí),它同樣可避免宇宙的大撕裂。然而,由于暗能量模型越來越多,對(duì)這些多樣的理論模型進(jìn)行敏感而有效的區(qū)分與鑒別就變得十分重要。Statefinder參數(shù)便是這樣一種診斷方法。我們應(yīng)用statefinder參數(shù)對(duì)上述的相互作用全息暗能量的行為進(jìn)行了診斷分析,結(jié)果表明存在相互作用的全息模型更接近其他全息暗能量模型的行為方式,因此更具有代表性。 另一方面,把暗能量看作一種宇宙組分,將其與Einstein場方程聯(lián)合,能夠處理一些局域引力問題,如一些有關(guān)黑洞性質(zhì)的研究。我們利用Kiselev于2003年提出的一個(gè)Einstein場方程的靜態(tài)球?qū)ΨQ精確解,研究在包含quintessence暗能量的Schwarzschild時(shí)空度規(guī)下,雙體系統(tǒng)中試驗(yàn)質(zhì)量的運(yùn)動(dòng)軌跡及其軌道在某些條件下的進(jìn)動(dòng)角,以考察quintessence在局域引力場中的影響。隨著天文觀測技術(shù)的發(fā)展,這些結(jié)果可以作為探測暗能量是否存在的理論工具。
[Abstract]:The observation of supernova in 1998 found that the universe is in an accelerating expansion stage, and many subsequent observations, such as the Wilkinson microwave anisotropy detector, cosmic microwave background radiation, This phenomenon is confirmed by astronomical observations such as the Sloan Digital Skyspace Survey and the large scale structure of the universe. The theoretical mechanism to promote this acceleration is that the universe contains a medium with strong negative pressure, which is called "dark energy" because it does not form clusters in large scale and pervades the whole space. To this end, many dark energy models have been constructed to describe the accelerating expansion of the universe. The simplest is the cosmological constant model. The parameters of the state equation of the dynamic scalar field model can evolve with time, and the modified gravitational theory of accelerating the expansion of the universe can be realized by changing the geometric structure of space and time. Recently, holographic principle, an important result of quantum gravitation, has been applied to cosmology and generated holographic dark energy model. Because in essence the dark energy problem should be a quantum gravitational problem, the holographic dark energy model may have some important characteristics of the basic theory of dark energy. Based on a holographic dark energy model with general form, this paper extends it to the case of the interaction between dark energy and dark matter. Under certain boundary conditions, the analytical form and the best fitting value of the important parameters in the interaction model are given. From its evolution behavior, we can see that this model can solve the problems of fine adjustment, cosmic coincidence, causality and so on, and it also maintains the formal consistency of a series of models of holographic dark energy. Moreover, when the effective equation of state is considered, it can also avoid a big tear in the universe. However, due to the increasing number of dark energy models, it is very important to distinguish and distinguish these various theoretical models sensitively and effectively. The Statefinder parameter is such a diagnostic method. We use the statefinder parameter to diagnose and analyze the interaction holographic dark energy behavior. The results show that the holographic model with interaction is closer to the behavior of other holographic dark energy models, so it is more representative. On the other hand, considering dark energy as a cosmic component and combining it with the Einstein field equation, we can deal with some local gravitational problems, such as some studies on the properties of black holes. By using the exact solution of static spherical symmetry of a Einstein field equation proposed by Kiselev in 2003, we study the trajectory of the experimental mass and the precession angle of its orbit under some conditions under the Schwarzschild space-time metric with quintessence dark energy. The effect of quintessence on local gravitational field is investigated. With the development of astronomical observation technology, these results can be used as a theoretical tool to detect the existence of dark energy.
【學(xué)位授予單位】：大連理工大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2010
【分類號(hào)】：P145.9

【共引文獻(xiàn)】

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