The nonsymmetric Kaluza-Klein (Jordan-Thiry) theory in the electromagnetic case

Journal Article · Wed Apr 01 04:00:00 EST 1992 · International Journal of Theoretical Physics

DOI:https://doi.org/10.1007/BF00670828· OSTI ID:137380

Kalinowski, M W ^[1]

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1. Warsaw Univ. (Poland)

We present the nonsymmetric Kaluza-Klein and Jordan-Thiry theories as interesting propositions of physics in higher dimensions. We consider the five-dimensional (electromagnetic) case. The work is devoted to a five-dimensional unification of the NGT (nonsymmetric theory of gravitation), electromagnetism, and scalar forces in a Jordan-Thiry manner. We find {open_quotes}interference effects{close_quotes} between gravitational and electromagnetic fields which appear to be due to the skew-symmetric part of the metric. Our unification, called the nonsymmetric Jordan-Thiry theory, becomes the classical Jordan-Thiry theory if the skew-symmetric part of the metric is zero. It becomes the classical Kaluza-Klein theory if the scalar field {rho}=1 (Kaluza`s Ansatz). We also deal with material sources in the nonsymmetric Kaluza-Klein theory for the electromagnetic case. We consider phenomenological sources with a nonzero fermion current, a nonzero electric current, and a nonzero spin density tensor. From the Palatini variational principle we find equations for the gravitational and electromagnetic fields. We also consider the geodetic equations in the theory and the equation of motion for charged test particles. We consider some numerical predictions of the nonsymmetric Kaluza-Klein theory with nonzero (and with zero) material sources. We prove that they do not contradict any experimental data for the solar system and on the surface of a neutron star. We deal also with spin sources in the nonsymmetric Kaluza-Klein theory. We find an exact, static, spherically symmetric solution in the nonsymmetric Kaluza-Klein theory in the electromagnetic case. This solution has the remarkable property of describing {open_quotes}mass without mass{close_quotes} and {open_quotes}charge without charge.{close_quotes} We examine its properties and a physical interpretation. 91 refs., 7 figs.

• Sponsoring Organization: USDOE
• OSTI ID: 137380
• Journal Information: International Journal of Theoretical Physics, Journal Name: International Journal of Theoretical Physics Journal Issue: 4 Vol. 31; ISSN 0020-7748; ISSN IJTPBM
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ASYMMETRY
ELECTROMAGNETIC FIELDS
GRAVITATIONAL FIELDS
KALUZA-KLEIN THEORY