Space-time structure in a generalization of gravitation theory

A generalized theory of gravitation, formulated recently in terms of a nonsymmetric field structure, is derived from a variational principle, and its relation to the Einstein-Maxwell theory is studied in detail. The physical interpretation of a new universal constant $k$ that occurs in the theory is considered, and reasons are given to choose the constant to be $\mathrm{}\left|k\right|=\hslash \frac{G}{c^3}e=\frac{L^2}{e}$, where $L={\left(\hslash \frac{G}{c^3}\right)}^{\frac{1}{2}}$ is the Planck length. The exact static spherically symmetric solution of the theory is shown to be world-line complete. The timelike and null (radial and nonradial) physical paths of test particles are deflected away from a sphere $S$ with a radius $r_s\sim L$. A discussion is given of the implications of the nonsingular solution of the theory for large- and small-scale physical phenomena.