On the generalization of the Schwarzschild and de Sitter Static Solutions With and Without Singularities

TL;DR

This paper discusses the generalization of Schwarzschild and de Sitter solutions in general relativity, addressing issues related to coordinate transformations and singularities, with references to the author's previous work for a more consistent approach.

Contribution

The paper critiques trivial coordinate transformations in classical solutions and emphasizes the importance of extended physical radial coordinates for accurate analysis.

Findings

Coordinate transformations can be trivial and misleading.

Extended physical radial coordinates provide a more consistent framework.

Previous work by the author offers a comprehensive treatment.

Abstract

This paper has been withdrawn by the author due to the triviality of the considered coordinate transformations. A consistent treatment, based on the extended physical radial coordinate, is presented in the publications of the author 2000 - 2003.