Fate of Kaluza-Klein Bubble

Details Fate of Kaluza-Klein Bubble Fate of Kaluza-Klein Bubble

2000-03-08

arxiv.org/abs/hep-th/0003066v1

Phys.Rev. D62 (2000) 024010

Physics

High Energy Physics

High Energy Physics - Theory

13 pages including 10 figures, RevTeX, epsf.sty. CGPG-99/12-8, RESCEU-6/00 and DAMTP-2000-30. To appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.62.024010

We numerically study classical time evolutions of Kaluza-Klein bubble space-time which has negative energy after a decay of vacuum. As the zero energy Witten's bubble space-time, where the bubble expands infinitely, the subsequent evolutions of Brill and Horowitz's momentarily static initial data show that the bubble will expand in terms of the area. At first glance, this result may support Corley and Jacobson's conjecture that the bubble will expand forever as well as the Witten's bubble. The irregular signatures, however, can be seen in the behavior of the lapse function in the maximal slicing gauge and the divergence of the Kretchman invariant. Since there is no appearance of the apparent horizon, we suspect an appearance of a naked singularity as the final fate of this space-time.

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