corner
corner

Phys. Rev. D 64, 084006 (2001) [20 pages]

Oscillatory approach to the singularity in vacuum spacetimes with T2 isometry

Download: PDF (468 kB) Buy this article Export: BibTeX or EndNote (RIS)

Beverly K. Berger*
Department of Physics, Oakland University, Rochester, Michigan 48309

James Isenberg
Department of Mathematics, University of Oregon, Eugene, Oregon 97403

Marsha Weaver
Max-Planck-Institut für Gravitationsphysik, Am Mühlenberg 1, D-14424 Golm, Germany

See Also: Erratum

Received 16 April 2001; published 11 September 2001

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.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.64.084006
DOI:
10.1103/PhysRevD.64.084006
PACS:
04.20.Dw, 98.80.Hw

*Email address: berger@Oakland.edu

Email address: jim@newton.uoregon.edu

Email address: weaver@aei-potsdam.mpg.de

See Also

Erratum: Beverly K. Berger, James Isenberg, and Marsha Weaver, Erratum: Oscillatory approach to the singularity in vacuum spacetimes with T2 isometry [Phys. Rev. D 64, 084006 (2001)], Phys. Rev. D 67, 129901 (2003).