Time-dependent Kaluza-Klein soliton solutions.

Details Time-dependent Kaluza-Klein soliton solutions. Time-dependent Kaluza-Klein soliton solutions.

Sep 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993jmp....34.4070l&link_type=abstract

Journal of Mathematical Physics, Vol. 34, No. 9, p. 4070 - 4079

Mathematics

Mathematical Physics

28

Scientific paper

Time-dependent generalizations of the standard static, spherically symmetric solutions of the empty Kaluza-Klein or (4+1) Einstein equations are considered herein. Such time-dependent solutions exist because Birkhoff's theorem does not hold in (4+1) gravity. The solutions depend on the time and radius but not the fifth or internal coordinate, and fall into four classes with distinct mathematical properties. Physically, some of our solutions represent a static 4D space-time with an oscillating or contracting extra dimension, which suggests their relevance to particle physics. Others represent an expanding 3D space with a contracting extra dimension, which suggests their relevance to cosmology.

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