Many of the profound ideas in nature manifest themselves as symmetries. Everything in physics that has been observed to date has a symmetrical opposite but equal property except for gravitational attraction. If antimatter is revealed to be gravitationally repulsive to matter through experimentation, then the equal and opposite of gravitational attraction or anti-gravity will be established. This paper reveals that if antimatter is in fact repulsive to matter as it should be according to a CPT transformation of the Einstein field equations for general relativity, then it has a pseudo-spherical volume mathematically. This paper first discusses the familiar Schwarzschild solution to emphasize how that leads to Newton’s law of gravitational attraction. Then we discuss the CPT transformation of the Einstein field equations in the context of the Schwarzschild solution and how this leads to a repulsion between matter and anti-matter and how this repulsion is in sync with a pseudo-spherical geometry. Finally we discuss antimatter to antimatter attraction in general relativity and conclude with how this new derivation that is analogous to the Schwarzschild solution is important for physics.