Collapse of Kaluza-Klein Bubbles

Details Collapse of Kaluza-Klein Bubbles Collapse of Kaluza-Klein Bubbles

1994-03-09

arxiv.org/abs/gr-qc/9403017v1

Phys.Rev.D49:6261-6263,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, plain LaTeX, UMDGR-94-089

Scientific paper

10.1103/PhysRevD.49.R6261

Kaluza-Klein theory admits ``bubble" configurations, in which the circumference of the fifth dimension shrinks to zero on some compact surface. A three parameter family of such bubble initial data at a moment of time-symmetry (some including a magnetic field) has been found by Brill and Horowitz, generalizing the (zero-energy) ``Witten bubble" solution. Some of these data have negative total energy. We show here that all the negative energy bubble solutions start out expanding away from the moment of time symmetry, while the positive energy bubbles can start out either expanding or contracting. Thus it is unlikely that the negative energy bubbles would collapse and produce a naked singularity.

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