Astronomy and Astrophysics – Astronomy
Scientific paper
Jan 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980gregr..12...83h&link_type=abstract
General Relativity and Gravitation, vol. 12, Jan. 1980, p. 83-90.
Astronomy and Astrophysics
Astronomy
6
Elementary Particle Interactions, Gravitation Theory, Relativity, Space-Time Functions, Astronomical Models, Hadrons, Leptons, Minkowski Space, Tetrad Theory
Scientific paper
A study is presented of the space-time properties of leptons and hadrons which requires an extension of general relativity to the gauge theory based on the four-dimensional affine group. This group translates and deforms the tetrads of the locally Minkowskian space time; its conserved currents, momentum, and hypermomentum act as sources in the two field equations of gravity. A Lagrangian quadratic in torsion and curvature allows for the propagation of two independent gauge fields: translational e-gravity mediated by the tetrad coefficients, and the deformational gamma-gravity mediated by the connection coefficients. For macroscopic matter, e-gravity coincides with general relativity up to the post-Newtonian approximation of the fourth order; for microscopic matter, gamma-gravity represents a strong Yang-Mills type interaction. In the linear approximation, a confinement potential is found for a static source.
Hehl Friedrich W.
Sijacki Debora
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