The geometry of singularities and the black hole information paradox

The information loss occurs in an evaporating black hole only if the time evolution ends at the singularity. But as we shall see, the black hole solutions admit analytical extensions beyond the singularities, to globally hyperbolic solutions. The method used is similar to that for the apparent singu...

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Bibliographic Details
Published in:Journal of physics. Conference series 2015-07, Vol.626 (1), p.12028
Main Author: Stoica, O C
Format: Article
Language:English
Subjects:
Black holes
Einstein equations
Electromagnetic fields
Event horizon
Physics
Quantum gravity
Singularity (mathematics)
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Summary:The information loss occurs in an evaporating black hole only if the time evolution ends at the singularity. But as we shall see, the black hole solutions admit analytical extensions beyond the singularities, to globally hyperbolic solutions. The method used is similar to that for the apparent singularity at the event horizon, but at the singularity, the resulting metric is degenerate. When the metric is degenerate, the covariant derivative, the curvature, and the Einstein equation become singular. However, recent advances in the geometry of spacetimes with singular metric show that there are ways to extend analytically the Einstein equation and other field equations beyond such singularities. This means that the information can get out of the singularity. In the case of charged black holes, the obtained solutions have nonsingular electromagnetic field. As a bonus, if particles are such black holes, spacetime undergoes dimensional reduction effects like those required by some approaches to perturbative Quantum Gravity.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/626/1/012028