Evolution of a hyperspatial tube due to the Casimir effect

Details Evolution of a hyperspatial tube due to the Casimir effect Evolution of a hyperspatial tube due to the Casimir effect

Jan 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995phrvd..51..568a&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 51, Issue 2, 15 January 1995, pp.568-578

Physics

5

Quantum Field Theory In Curved Spacetime, Fundamental Problems And General Formalism, Renormalization

Scientific paper

We study the time evolution of a hyperspatial tube (a cylinder if immersed in five dimensions). The time evolution is given by the Einstein equations. We assume that the only contributions to the energy-momentum tensor comes from the vacuum fluctuations (the zero-point energy). The time evolution for this space-time model is then determined from the Einstein equation. As it turns out, the tube is extremely unstable; it explodes or it implodes, at least in one direction. At later times, however, most hyperspatial tubes change from growing exponentially to power law growth.

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