### Abstract

Using the idea of tensor integration, the vector field developed in Part I of this report, and the full Bianchi identities, it is shown that in a general Riemannian space there are four global covariantly‐conserved tensors. The ranks of these tensors are three, four, five, and six. The traces of the first two of these tensors yield the generally covariant equivalent of the familiar linear and angular momentum. The remaining four traceless tensors describe, residually, the gravitational field. With each covariantly conserved tensor one can associate a number of independent invariants. Such invariants are conserved in the ordinary sense. Among these are two types of rest energies and two types of angular momentum magnitudes obtained from the trace and traceless tensors. Examples of global, conserved tensors are derived for a Schwarzschild metric with the electron mass, and a metric of a point electron. It is shown that the rest energy of the Coulomb field diverges as ln(1 /*r*) at the origin and the second rest energy, that is, the rest energy of the gravitational field diverges as ln *r* as *r* approaches infinity. When cutoffs are introduced at the Schwarzschild radius *r* _{0}, at the classical electron radius *r* _{1}, and at the radius of the visible universe *r* _{2}, the rest energy of the gravitational field contained in the shell of thickness *r* _{1} − *r* _{0} is approximately 100 times that of the electron rest energy. It is twice this value in the entire visible universe. Since the gravitational field is described by the traceless tensors and the former forms a heavy, compact cloud around the point particle, it is conjectured that the traceless tensors represent the internal degrees of freedom of the elementary particles.

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