June 8, 2012
Minkowski Space Time, General Relativity Theory, Einstein Field Equations, Black Holes, Schwarzschild Metric, Ricci Scalar, Metric for the Centrally Gravitating Body, Aether
Any modern theory that has been constructed so far is based on assumptions that are more or less in agreement with observations or are somehow self evident. This does not mean that the theory is absolutely true or that it cannot be later corrected, modified, improved, or proven wrong when more precise data become available for comparison. However, the theory must be clear in defining these assumptions and the assumptions cannot contradict each other or the well established laws of physics. The well known tool to work these problems out is the mathematical formalism, so the math is valuable to resolve such conflicts should they arise. However, the math must be clear and not self-absorbing with many abstract notions that mathematicians like so much to the point that the physics becomes completely lost in it. An example of this problem is the variational principle for the derivation of Einstein field equations followed by the arbitrary assumption about the mass energy tensor. The theory that will be derived in this paper will avoid these pitfalls. However, before we embark on the derivation of the new metric it is also necessary to make few comments about the coordinates.