Schwarzschild’s singularity is semi-regularizable

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 fo...

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Bibliographic Details
Published in:European physical journal plus 2012-07, Vol.127 (7), p.83, Article 83
Main Author: Stoica, O. C.
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Complex Systems
Condensed Matter Physics
Differential Geometry
Evaporation
General Relativity and Quantum Cosmology
Mathematical and Computational Physics
Mathematical Physics
Mathematics
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Regular Article
Singularity (mathematics)
Theoretical
Topology
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Summary: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 does not destroy the topology, and when it is semi-regular, it allows the field equations to be rewritten in a form which avoids the infinities, as it was shown elsewhere. In the new coordinates, the Schwarzschild solution extends beyond the singularity. This suggests a possibility that the information is not destroyed in the singularity, and can be restored after the evaporation.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/i2012-12083-1