Gravitational energy in spaces with compactified dimensions

Abstract

We derive an energy for classical gravitational systems with compactified dimensions, and show it to be valid for geometries, such as the Kaluza-Klein monopole, whose asymptotic metrics are not solution of the Einstein equations. The effective asymptotic behavior of the metric is deduced. We also clarify the basis for the noncomparability of energies among solutions with different compactifications and for nonuniqueness of the newtonian limit in Kaluza-Klein theories.

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