4D induced matter from non-compact 5D Kaluza-Klein gravity

Details 4D induced matter from non-compact 5D Kaluza-Klein gravity 4D induced matter from non-compact 5D Kaluza-Klein gravity

Aug 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000phdt........13s&link_type=abstract

Thesis (PhD). UNIVERSITY OF WATERLOO (CANADA), Source DAI-B 61/07, p. 3645, Jan 2001, 123 pages.

Mathematics

Logic

Scientific paper

The traditional constraints associated with five- dimensional Kaluza-Klein gravity are removed, namely that the 5D metric can depend on the extra-coordinate and that this coordinate is non-compact. The assumption that the 5D theory is vacuum R̂AB = 0 is the minimal set of field equations to induce matter from 5D to 4D via a dimensional reduction. This reduction is carried out for two general types of 5D metrics: (1)the traditional Kaluza-Klein metric which unifies gravity, electromagnetism and a scalar field, and (2)conformal extra-coordinate dependent metrics which induce an effective cosmological constant and realistic neutral matter. The physical aspects such as test particle motion, the weak-field limit and gravitational waves, and the energy from a Hamiltonian perspective and conserved quantities associated with scalar-tensor theories of gravity are studied in detail. It is found that 5D relativity is a rich extension of 4D gravity that unifies geometry with 4D matter.

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