Oscillatory approach the singularity in vacuum spacetimes with T2 isometry

Berger, Beverly K.; Isenberg, James; Weaver, Marsha

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Oscillatory approach the singularity in vacuum spacetimes with T² isometry

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Weaver, Marsha
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Berger, B. K., Isenberg, J., & Weaver, M. (2001). Oscillatory approach the singularity in vacuum spacetimes with T² isometry. Physical Review D, 64, 084006.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-569E-B

Abstract

We use qualitative arguments combined with numerical simulations to argue that, in the approach to the singularity in a vacuum solution of Einstein's equations with T² isometry, the evolution at a generic point in space is an endless succession of Kasner epochs, punctuated by bounces in which either a curvature term or a twist term becomes important in the evolution equations for a brief time. Both curvature bounces and twist bounces may be understood within the context of local mixmaster dynamics although the latter have never been seen before in spatially inhomogeneous cosmological spacetimes.