Numerical Evidence that the Singularity in Polarized U(1) Symmetric Cosmologies on $T^3 \times R$ is Velocity Dominated

TL;DR

This paper provides numerical evidence supporting the conjecture that polarized U(1) symmetric cosmologies on $T^3 imes R$ exhibit velocity term dominated singularities asymptotically.

Contribution

It offers the first numerical confirmation that such cosmologies have velocity dominated singularities, advancing understanding of their asymptotic behavior.

Findings

Numerical simulations support the velocity dominated singularity conjecture.

Polarized U(1) symmetric cosmologies tend to velocity term dominance near singularities.

The results align with theoretical predictions about the nature of these singularities.

Abstract

Numerical evidence supports the conjecture that polarized U(1) symmetric cosmologies have asymptotically velocity term dominated singularities.