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Fate of the Kaluza-Klein bubble

2000/03/08 by H. Shinkai, Hisa-aki Shinkai, Tetsuya Shiromizu · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Bubble #Classical mechanics #Cosmology and Gravitation Theories #False vacuum #Geometry #Kaluza–Klein theory #Mathematics #Mechanics #Naked singularity #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Singularity #Spacetime #Theoretical physics #astro-ph #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.62.024010

published as Phys.Rev. D62 (2000) 024010 · 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

arxiv created 2000/03/08 · openalex publication_date 2000/06/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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 bubble space-time, where the bubble expands infinitely, the subsequent evolutions of the Brill-Horowitz momentarily static initial data show that the bubble will expand in terms of the area. At first glance, this result may support the Corley-Jacobson conjecture that the bubble will expand forever as well as 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 the appearance of a naked singularity as the final fate of this space-time.

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