Research in Gravitational Physics

芝加哥小组关注的是广泛的 引力物理学的研究。 一些数学问题 与相对论耗散流体理论相关的 详细研究;特别是，“Navier-Stokes” 极限”的耗散流体方程进行了研究，他们 将研究如何“接近”解决方案的问题， 具有相同Navier-Stokes极限的不同流体方程 是彼此的 制定一项 令人满意的和可解释的量子引力理论， 宇宙学中的同质宇宙学 相对论粒子将被研究，和性质的 非均匀宇宙模型的Wheeler-DeWitt方程 将进行调查。 他们将研究单一制的问题。 量子场结构的等价性 整体双曲时空中的Hadamard真空态 紧Cauchy曲面 中的许多附加主题 经典广义相对论，量子场论 时空和量子引力将被研究。 的 所有这些研究的基本目标是获得更深层次的 理解经典数学和物理问题 广义相对论，并取得进展，制定一个 引力的量子理论

The Chicago group is concerned with a broad range of research in gravitational physics. Some mathematical issues related to the theory of relativistic dissipative fluids will be investigated in detail; in particular, the "Navier-Stokes limit" of dissipative fluid equations will be studied and they will investigate the issue of how "close" solutions to different fluid equations having the same Navier-Stokes limit are to each other. The possibility of formulating a satisfactory and interpretable quantum gravity theory for homogeneous cosmologies in analogy with the theory of a relativistic particle will be studied, and properties of the Wheeler-DeWitt equation for inhomogeneous cosmological models will be investigated. They will examine the issue of unitary equivalence of quantum field constructions associated with Hadamard vacuum states in globally hyperbolic spacetimes with a compact Cauchy surface. Numerous additional topics in classical general relativity, quantum field theory in curved spacetime, and quantum gravity will be investigated. The basic goal of all of this research is to obtain a deeper understanding of mathematical and physical issues in classical general relativity, and to make progress toward formulating a quantum theory of gravitation.