Investigation of Schmutzer’s Exact External Spherically Symmetric Static Solution for a Central Body within the Framework of the 5-Dimensional Projective Unified Field Theory

Abstract

The present paper is devoted to the investigation of the spherically symmetric static vacuum solution within the framework of Schmutzer’s 5-dimensional Projective Unified Field Theory (PUFF). By an appropriate coordinate transformation we could present the Schmutzer solution (implicit form) in an explicit form. Further it was shown that this solution can be obtained with the help of a special conformal transformation from the well-know Heckmann-Jordan-Fricke solution. We mention that the Schmutzer solution describes the exterior field of a spherically symmetric static cosmic body as well as a naked singularity without any horizons. We could show that within the framework of PUFT in the exterior of the spherically symmetric body time-dependent vacuum solutions can exist.