本文關(guān)鍵詞：平行引力修正理論相關(guān)問題研究　出處：《上海師范大學(xué)》2017年博士論文　論文類型：學(xué)位論文

  更多相關(guān)文章： 關(guān)平行引力理論 修正引力 f(T)理論 非最小耦合 宇宙學(xué)觀測擬合 太陽系驗證 球?qū)ΨQ坍縮

【摘要】：統(tǒng)一理論是物理科學(xué)的百年夢想。然而現(xiàn)今物理學(xué)理論的兩大基石——廣義相對論和量子規(guī)范理論——之間卻格格不入。平行引力理論是愛因斯坦為統(tǒng)一引力和電磁理論而提出的,雖然統(tǒng)一并不成功,但研究表明,該理論實際上是引力的規(guī)范場描述。這樣,平行引力理論及其修正理論,就可以視為把引力納入規(guī)范理論大框架的理論鋪墊。平行引力理論在引力上是等價于廣義相對論的,所以近年來廣義相對論所面臨的宇宙學(xué)問題,如宇宙學(xué)常數(shù)問題,晚期加速膨脹問題,小尺度結(jié)構(gòu)問題等,都存在于平行引力理論之中。正如從廣義相對論中發(fā)展出了修正引力理論,對平行引力理論也有一些修正理論來直面各種實驗觀測問題。本文通過數(shù)值計算、數(shù)據(jù)擬合、解析分析等方法,研究了平行引力修正理論中的宇宙大尺度演化歷史,太陽系驗證,小尺度結(jié)構(gòu)形成等問題。在第二和第三章中,本文主要介紹了平行引力理論作為引力的規(guī)范場描述的基礎(chǔ),以及它的修正理論,包括撓率和物質(zhì)最小耦合和非最小耦合的f(T)理論,以及f(T,τ)引力理論。在第四章中,本文利用Ia型超新星、宇宙微波背景輻射和重子聲學(xué)振蕩的觀測數(shù)據(jù),對幾個特定的平行引力修正理論的宇宙學(xué)模型進行數(shù)據(jù)擬合,并對其模型參數(shù)作出限制。通過調(diào)節(jié)模型參數(shù),本文所考慮的模型均能一定程度上還原宇宙大尺度演化歷史,但在宇宙將來歸宿上有不同的預(yù)測。在第五章中,本文通過相應(yīng)模型的球?qū)ΨQ弱場近似解,研究了平行引力修正理論的太陽系效應(yīng),包括引力紅移,近日點進動和測地線效應(yīng)。通過和實驗數(shù)據(jù)對比,這些太陽系內(nèi)的引力效應(yīng)也對模型參數(shù)作出了限制。對于本文所考慮的幾個特定模型,從宇宙學(xué)觀測數(shù)據(jù)擬合中選取合適的模型參數(shù),均能很好地描述太陽系內(nèi)的引力效應(yīng)。在第六章中,本文進一步利用宇宙學(xué)方程研究了平行引力修正理論中的球?qū)ΨQ“大禮帽”坍縮和及其位力化,探討了該理論中的小尺度結(jié)構(gòu)形成。
[Abstract]:The unified theory is a century dream of physical science. However, the two cornerstones of the modern theory of Physics - General Relativity and the theory of quantum norms - are incompatible. Parallel gravity theory is proposed by Einstein for unified gravity and electromagnetic theory. Although the unification is not successful, the research shows that the theory is actually the description of the gauge field of gravitation. In this way, the theory of parallel gravitation and its correction theory can be regarded as the theoretical foundation of bringing gravity into the large framework of normative theory. The theory of parallel gravity is equivalent to general relativity in gravitation. So in recent years, the cosmological problems faced by general relativity, such as cosmological constant problem, late accelerating expansion problem and small scale structure problem, all exist in parallel gravity theory. Just as the theory of modified gravity is developed from the general theory of relativity, there are some revisions to the theory of parallel gravity to face all kinds of experimental observation problems. By means of numerical calculation, data fitting and analytical analysis, we have studied the large-scale evolution history of the universe, the verification of solar system and the formation of small scale structure in parallel gravitation correction theory. In the second and third chapter, this paper mainly introduces the parallel gravitational theory as the basis to describe the gravitational gauge field, and its correction theory, including torsion and material coupled minimal and non minimal coupling f (T) theory, and f (T, t) gravitational theory. In the fourth chapter, we use Ia supernovas, cosmic microwave background radiation and baryon acoustic oscillation data to fit data of cosmological models with several parallel gravitational corrections theory, and limit their model parameters. By adjusting the model parameters, the models considered in this paper can restore the large scale evolution history of the universe to some extent, but there are different predictions for the future fate of the universe. In the fifth chapter, we study the solar system effect of parallel gravitation correction theory, including gravitational redshift, perihelion precession and geodesic effect through the spherical symmetric weak field approximate solution of the corresponding model. By comparing with the experimental data, the gravitational effects in these solar systems also restrict the parameters of the model. For some specific models considered in this paper, selecting the appropriate model parameters from cosmological observation data fitting can well describe the gravitational effect in the solar system. In the sixth chapter, this paper further studied using cosmological equations parallel gravitational correction of spherical symmetry theory "top hat" collapse and virialization, discusses the formation of the theory of small scale structure.
【學(xué)位授予單位】：上海師范大學(xué)
【學(xué)位級別】：博士
【學(xué)位授予年份】：2017
【分類號】：O412.1

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