Physics
Scientific paper
Jul 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000phrvd..62b4026r&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 62, Issue 2, 15 July 2000, id.024026
Physics
5
Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity
Scientific paper
A metric nonsymmetric unified theory of gravitation and electromagnetism is studied. By a suitable modification of the Einstein part of the Bonnor Lagrangian, it is shown that the antisymmetric part of the metric tensor can be made to describe a massless spin-1 field obeying Maxwell's equations in the flat space linear approximation and thus making its identification to the electromagnetic field strength tensor a possibly consistent procedure. The theory is shown to be free of unphysical ghost-negative energy radiative modes even when expanded about a curved Riemannian background. The Einstein-Maxwell theory is contained in the first approximation of the field equations about a curved general relativity background. The field equations contain only the symmetric part of the connection, making them as close as possible to those of general relativity. The equations of motion of charged particles are shown to contain the Coulomb force in the lowest nontrivial order of approximation.
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