English

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.

Keywords

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

R2 v1 2026-07-22T12:35:18.934Z