Singularities in Cosmological Spacetimes

摘要: Theorems state that gravitational collapse from generic but non-singular initial conditions results in some type of singular behavior. Here the nature resultant approach to singularity is examined spatially homogeneous, anisotropic, vacuum cosmological spacetimes . The these either (asymptotically) Kasner-like or Mixmaster-like. It has been conjectured inhomogeneous through Mixmaster-like dynamics at every spatial point. Several examples such cosmologies are explored numerically and heuristically. current status a rigorous statement this conjecture possible approaches proof discussed. This chapter will focus on singularities spacetimes.