Sachs' extension of GRT consistent with Schwarzschild

[DeltaV]

Schwarzschild Solution of the Generally Covariant Quaternionic Field Equations of Sachs

This paper constructs a four-vector quaternion solution of the quaternionic field equation of Sachs that corresponds to a spherically symmetric static metric. We show that the equations for this four-vector quaternion corresponding to a vacuum solution lead to differential equations that are identical to the corresponding Schwarzschild equations for the metric tensor components.