Backreaction in the future behavior of an expanding spacetime

Abstract

We perform a rescaling analysis to analyze the future behavior of a class of $T^2$-symmetric vacuum spacetimes. We show that on the universal cover, there is $C^0$-convergence to a spatially homogeneous spacetime that does not satisfy the vacuum Einstein equations.

Added a one page erratum at the end to correct a statement about scalar curvature

References in corpus (1)

• A new framework for analyzing the effects of small scale inhomogeneities in cosmology

Cited by in corpus (2)

• High-frequency backreaction for the Einstein equations under polarized $\mathbb{U}(1)$ symmetry
• Stability Within $T^2$-Symmetric Expanding Spacetimes