Research in Gravitation Theory (Physics)

早期教育三大问题研究 宇宙将进行： 第一部分是求解半经典逆反应 当非共形耦合自由标量场 存在于均匀和各向同性的时空中 两个方面 这是特别令人感兴趣的。 一个是最初的行为， 因为这将决定它们是否具有初始 奇点或粒子视界。 二是如何 Starobinsky的暴胀模型和Mijic et. 受非共形场的存在的影响， 通货膨胀阶段。 第二个研究项目包括解决 各向异性介质中自由标量场的反反应问题 时空 我们很有兴趣看看量子效应 改变了这些时空中奇点的性质 也 定量预测各向异性的数量， 在各种模型中通过粒子的产生而消散， 得到了 第三个研究项目将是调查 紧致时空中的自发对称破缺 具有四次自相关的N个标量场模型的截面 联轴节. 已经证明，自发对称性 这些模型在大N极限中的突破不会发生在 爱因斯坦的宇宙 如果这个结果更一般，那么它 可能对宇宙学非常重要

Research on three major problems concerned with the early universe will be conducted: The first consists of solving the semiclassical backreaction equations when nonconformally coupled free scalar fields are present in homogeneous and isotropic spacetimes. Two aspects of this are of particular interest. One is the initial behaviors of the solutions, as that will determine whether they have initial singularities or particle horizons. The second is how Starobinsky's inflationary models and the R models of Mijic et. al. are affected by the presence of non-conformal fields during the inflationary phase. The second research project consists of solving the backreaction problem for free scalar fields in anisotropic spacetimes. It is of interest to see whether quantum effects change the nature of the singularities in these spacetimes. Also quantitative predictions for the amounts of anisotropy that can be dissipated in various models via particle production will be obtained. The third research project will be an investigation of spontaneous symmetry breaking in spacetimes with compact spatial sections for models with N scalar fields with quartic self- couplings. It has already been shown that spontaneous symmetry breaking for these models in the large N limit does not occur in the Einstein universe. If this result is more general, then it may be of great importance to cosmology.