2002/03/01 by Rainer Burghardt, R. Burghardt, Burghardt, R.
Engineering · Physics and Astronomy · #Advanced Differential Geometry Research #Geophysics and Sensor Technology #Relativity and Gravitational Theory #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0203005
9 pages
arxiv created 2002/03/01 · arxiv updated 2009/11/30
We embed the Schwarzschild interior solution in a five-dimensional flat space and show that the systems of the interior and the exterior solution are based on the same geometrical principles. It turns out that the energy tensor of the matter has its origin in the five-dimensional structure of the geometry and is built up by the generalized second fundamental forms. Thus, the matter is already geometrized. The Codazzi equations are the field equations for the matter field.