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arXiv · 1911.10911

On Schwarzschild anti De Sitter and Reissner N\"ordstrom Wormholes

Oscar Brauer·Miguel Socolovsky
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Abstract

We discuss the wormholes associated with the four-dimensional Schwarzschild (S4), Schwarzschild anti De Sitter (SaDS4), and Reissner-N\"ordstrom (RN4) black holes, in Schwarzschild, isotropic and Kruskal-Szekeres cordinates. The first two coordinate systems are valid outside the horizons, while the third one is used for the interiors. In Schwarzschild coordinates, embedding for SaDS4 exists only for a finite interval of the radial coordinate r, and similar restrictions exist for RN4. The use of the K-S coordinates allows us to give an explicit proof of the pinching-off of the bridges, making them non-traversable. The case of the extreme Reissner-N\"ordstrom (ERN4) is also discussed.

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Oscar Brauer, Miguel Socolovsky. 2019-11-14. On Schwarzschild anti De Sitter and Reissner N\"ordstrom Wormholes. https://doi.org/10.22606/tp.2019.44001

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