Consistency of the Kaluza-Klein Ansatz for cosmological solutions

Physics

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Scientific paper

A consistency problem for the Kaluza-Klein ansatz is shown to arise when the kinetic term of extra gauge fields depends on the internal coordinates. Consequences on cosmological solutions are discussed. A position-dependent kinetic term implies either a very special condition to be satisfied by it, or the time-dependent size of internal space and the maximally symmetric universe in the vacuum.
Address after September 1: Department of Physics, Brown University, Providence, RI, USA.

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