Schwarzschild Singularity is Semi-Regularizable

Understand

It is shown that the Schwarzschild spacetime can be extended so that the metric becomes analytic at the singularity.

• The singularity continues to exist, but it is made degenerate and smooth, and the infinities are removed by an appropriate choice of coordinates.
• A family of analytic extensions is found, and one of these extensions is semi-regular.
• A degenerate singularity doesn't destroy the topology, and when is semi-regular, it allows the field equations to be rewritten in a form which avoids the infinities, as it was shown elsewhere (arXiv:1105.0201, arXiv:1105.3404).