Kaluza-Klein equations, Einstein's equations, and an effective energy-momentum tensor.

Mathematics – Mathematical Physics

Scientific paper

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Scientific paper

Following earlier work, it is inquired how far the 5-D Kaluza-Klein equations without sources may be reduced to the Einstein equations with sources. It is shown by algebraic means that this can be done, provided the extra part of the 5-D geometry is used appropriately to define an effective 4-D energy-momentum tensor. The latter has reasonable properties, but will require further detailed study.

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