Record: YesLevel: Graduate & UndergraduateLanguage: EnglishPrerequisite:Differential Geometry, Riemannian GeometryIntroduction:Black holes play a central role in general relativity and astrophysics. The Kerr solution of the Einstein equations describes a spacetime containing an isolated, rotating black hole. Following a brief introduction to the Cauchy problem for the Einstein equations, I will...
AbstractEach configuration in a quantum field theory corresponds to a map from a space X of functions or bundles with sections to the space of complex numbers. These maps are called Schrodinger wave functionals. They generalize wave functions in quantum mechanics, which are maps from a finite-dimensional manifold to the complex numbers. We review the main properties of wave functions and wave f...