Test-particle motion in Einstein's unified field theory. I. General theory and application to neutral test particles

Details Test-particle motion in Einstein's unified field theory. I. General theory and application to neutral test particles Test-particle motion in Einstein's unified field theory. I. General theory and application to neutral test particles

Mar 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..31.1236j&link_type=abstract

Physical Review D (Particles and Fields), Volume 31, Issue 6, 15 March 1985, pp.1236-1251

Physics

6

Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

We develop a method for finding the exact equations of structure and motion of multipole test particles in Einstein's unified field theory-the theory of the nonsymmetric field. The method is also applicable to Einstein's gravitational theory. Particles are represented by singularities in the field. The method is covariant at each step of the analysis. We also apply the method and find both in Einstein's unified field theory and in Einstein's gravitational theory the equations of structure and motion of neutral pole-dipole test particles possessing no electromagnetic multipole moments. In the case of Einstein's gravitational theory the results are the well-known equations of structure and motion of a neutral pole-dipole test particle in a given background gravitational field. In the case of Einstein's unified field theory the results are the same, providing we identify a certain symmetric second-rank tensor field appearing in Einstein's theory with the metric and gravitational field. We therefore discover not only the equations of structure and motion of a neutral test particle in Einstein's unified field theory, but we also discover what field in Einstein's theory plays the role of metric and gravitational field.

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