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 |k|=Gc³e=L²e, where L=(Gc³)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 rₛ~L. A discussion is given of the implications of the nonsingular solution of the theory for large- and small-scale physical phenomena.