New Possibilities for a Unified Field Theory

Journal Article · Sun Jan 01 04:00:00 EST 1961 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.1724223· OSTI ID:4804794

Israel, W.; Trollope, R.

The introduction of nonsymmetric g_ik in unified field theories of the Einstein-Schrodinger type is open to the objection, on group-theoretical grounds, that the symmetric and antisymmetric parts transform independently. This objection does not apply to the use of nonsymmetric Γ mu , since these quantities are irreducible under the extended group,'' consiating of the point transformations and the Einstein lambda transformations. A theory based on symmetric g_ik and nonsymmetric Γ _ikμ is considered. The Lagrangian L is assumed to depend only on g_ik and the contracted curvature tensor R_ik (this insures the lambda invariance and transposition invariance of the theory). For simplicity, it is supposed further that L involves R_ik rationally and, at most, quadratically. The resulting theory accounts for the main feature of gravitation, electromagnetism, and their interaction. In particular, the theory yields the correct equations of motion for charged masses, The electromagnetic tensor is associated with the skew part of R_ik, and the h transformations correspond roughly to the gauge tranaformations of electrodynamics.

• Research Organization: Univ. of Alberta, Edmonton, Can.
• Sponsoring Organization: USDOE
• NSA Number: NSA-16-005800
• OSTI ID: 4804794
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 6 Vol. 2; ISSN JMAPAQ; ISSN 0022-2488
• Publisher: American Institute of Physics (AIP)
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
EINSTEIN-SCHROEDINGER THEORY
ELECTROMAGNETISM
FIELD THEORY
GRAVITATION
GROUP THEORY
INTERACTIONS
LAGRANGIAN
MASS
MOTION
RELATIVITY THEORY
TENSORS
VECTORS