A theory of gravitation

Abstract

A theory of gravitation is presented satisfying the covariance and equivalence principles. It makes use of a Riemannian metric tensor g μν , describing the true gravitational field, and a flat-space metric tensor γ μν , describing the inertial forces. The field equations have a simple structure so that, for given γ μν , the initial conditions, which are not subject to any constraints, completely determine the solution. The theory gives results in agreement with those of the general relativity theory to the accuracy corresponding to observations at the present time. The static spherically symmetric solution for the field of a point mass has a singularity only at the point, without any “black hole.”