Kasner-like regions near crushing singularities

Abstract

We consider vacuum spacetimes with a crushing singularity. Under some scale-invariant curvature bounds, we relate the existence of Kasner-like regions to the asymptotics of spatial volume densities.

final version

References in corpus (1)

• Ancient Dynamics in Bianchi Models: Approach to Periodic Cycles

Cited by in corpus (3)

• Stable Big Bang formation for Einstein's equations: The complete sub-critical regime
• Stability of AVTD Behavior within the Polarized $T^2$-symmetric vacuum spacetimes
• Stability of Asymptotic Behavior Within Polarised $T^2$-Symmetric Vacuum Solutions with Cosmological Constant