Mixmaster Behavior in Inhomogeneous Cosmological Spacetimes

TL;DR

This paper provides numerical evidence that inhomogeneous cosmological spacetimes generally exhibit Mixmaster behavior near singularities, supporting the conjecture that such behavior is typical in Einstein's equations.

Contribution

It demonstrates through numerical analysis that inhomogeneous spacetimes tend to evolve towards Mixmaster dynamics near singularities, confirming a longstanding theoretical conjecture.

Findings

Evidence of Mixmaster behavior at generic points in inhomogeneous spacetimes

Supports the conjecture of Belinskii et al. on generic singularity behavior

Numerical results align with theoretical predictions of complex oscillatory dynamics

Abstract

Numerical investigation of a class of inhomogeneous cosmological spacetimes shows evidence that at a generic point in space the evolution toward the initial singularity is asymptotically that of a spatially homogeneous spacetime with Mixmaster behavior. This supports a long-standing conjecture due to Belinskii et al. on the nature of the generic singularity in Einstein's equations.