The gravitational field of spherically symmetric matter distributions in the Yang-Mills gauge theory of gravity

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In the new SO(1,3)-gauge theory of gravity, the exterior gravitational field of any spherically symmetric equilibrium distribution of matter and non-gravitational force fields is determined by two parameters, the gravitational mass M and the structure parameter γ. We discuss the physical interpretation of the parametrized post-Newtonian parameter γ in this theory of gravity. The boundary conditions fix uniquely the values of M and γ it turns out that γ - 1 is a measure for the gravitational binding of the source. In the Newtonian limit, stars with negligible radiation pressure are characterized by γ=1-2/3M/R, while radiation-dominated stellar structures may even have γ > 1; the value of γ for tightly bound neutron stars of one solar mass is about 0.9.
Research fellow of Schweizerischer Nationalfonds.

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