The following articles describe relativistic gravitation theory and one of its features that is important in its extension to cosmology. Explanatory comments are provided below.
- A Nonmetric gravitational theory that is nonsingular at the Schwarzschild radius (arXiv)
- The shell theorem in non metric physical relativistic gravitation theory
The first article above provides the formulation of relativistic gravitation. This fully relativistic theory is developed utilizing physical processes underlying time and space in a gravitational field. A key extension of relativistic principles shows that proper time is the combination of time dilation from acceleration with that of uniform motion. Particle paths in three spatial dimensions are those making the total elapsed proper time an extremal.
The second article proves that the gravitational potential functions developed in RG meet both criteria of the shell theorem, namely that the field of a thin, uniform shell of mass exterior to the shell is as if its mass were concentrated in a single point at its center, and that the field inside the shell is everywhere zero. This result is used in the development of the cosmological models to be published.