Five-dimensional relativity theory
The five-dimensional relativity theory proposed by Kaluza (1921) is formulated covariantly for a Riemannian space containing a killing geodesic vector field. From this five-dimensional space a four-dimensional physical space is extracted. The field equations in empty 5-space are essentially uniquely determined and correspond to the Einstein--Maxwell equations in 4-space. In the presence of a field in 5-space the field equations involve a tensor which is associated with energy, momentum, charge and current densities in 4-space. For a 5-space containing dust the field equations lead to particle motion described by the geodesic equations. The latter correspond in 4-space to the Lorentz equations of motion for particles with arbitrary ratios of charge to mass and also for certain entities (tachyons and luminonsl unobserved hitherto. (auth)
- Research Organization:
- Technion--Israel Inst. of Tech., Haifa
- NSA Number:
- NSA-29-019994
- OSTI ID:
- 4353596
- Journal Information:
- Gen. Relativity Gravitation, v. 4, no. 6, pp. 449-474, Journal Name: Gen. Relativity Gravitation, v. 4, no. 6, pp. 449-474; ISSN GRGVA
- Country of Publication:
- United Kingdom
- Language:
- English
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