Non-integrability and Mach's principle in Induced Matter Theory

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The geodesic equation in induced matter theory is redefined. It is shown that the extra forces do not change the four-impulse of massive particles. We show that the 4D space-time is non-integrable and find the relation between non-integrability and the Mach's principal.
11 pages, to appear in Gen. Relativ. Gravit

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