New embedding of Schwarzschild geometry. II. Interior solution
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.gr-qc/0203005,
title = {New embedding of Schwarzschild geometry. II. Interior solution},
author = {R. Burghardt},
journal= {arXiv preprint arXiv:gr-qc/0203005},
year = {2007}
}
Comments
9 pages