Effects of nonstatistical gravitation on the dimensional reduction

Physics

Scientific paper

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Field Theory (Physics), Gravitational Effects, Space-Time Functions, Angular Momentum, Dimensional Analysis, Einstein Equations, Time Dependence

Scientific paper

The effect of time-dependent gravitation on the spontaneous compactification of space-time as proposed by Cremmer and Scherk (1976) is investigated for a six-dimensional space-time. For a metric satisfying the field equations for the Yang-Mills field and the Higgs field, solutions to the Einstein equations are analyzed in the presence of a time-dependent adjustable parameter. When an additional scalar field is introduced into the metric, it is shown that the field is initially dominated by a singlet, but, due to the time dependence, eventually is influenced by states with small angular momentum.

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