Using the accepted methods to extract natural system behavior from the Einstein-Hilbert gravitational field tensor equation, a new coordinate transformation is analyzed. It is demonstrated that these extraction methods yield specific contradictions. Two such contradictions are that for an electrically neutral (nonrotating) Schwarzschild configuration there is an infinite redshift surface that is not an event horizon and for a specific Schwarzschild configuration, no dustlike particle external to this configuration will, with respect to proper time, ever gravitationally collapse radially to the surface of the configuration. Einstein’s Equivalence Principle Within our universe, is it possible to differentiate physically between the force effects of a gravitational field and the apparent force needed to produce a bodies accelerated motion, where the only observations that can be made are behavior of test bodies affected by these forces? Notice that this question is relative to properties associated with “forces” and not the equivalence of initial and gravitational mass. With the help of his famous “elevator analogy,” Einstein wrote: [LetK ′ be a system of reference such that] relative toK ′ a mass sufficiently distant from other masses has an accelerated motion such that its acceleration and direction of acceleration are independent of its material composition and physical state. Does this permit an observer at rest relative to K ′ to draw the conclusion that he is on a “really” accelerated system of reference? The answer is negative; for the above mentioned behavior of freely *This research is sponsored in part by a grant from the U. S. Naval Academy Research Council. Note: I am not at all certain about the results of this research. The results presented in this paper could be in error for various reasons. Although I have attempted to apply the procedures as outlined in various texts, if my calculations are correct, then my physical interpretations may need modification or may exhibit various errors.