Remarks on inhomogeneous anisotropic cosmology
  Recently a new no-global-recollapse argument was given for some inhomogeneous
and anisotropic cosmologies that utilizes surface deformation by the mean
curvature flow. In this paper we discuss important properties of the mean
curvature flow of spacelike surfaces in Lorentzian manifolds. We show that
singularities may form during cosmic evolution and the theorems forbidding the
global recollapse lose their validity. The time evolution of the spatial scalar
curvature that may kinematically prevent the recollapse is determined in normal
coordinates, which shows the impact of inhomogeneities explicitly. Our analysis
indicates a caveat in numerical solutions that give rise to inflation.
