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Extensible Black Hole Embeddings for Apparently Forbidden Periodicities

Aharon Davidson·Uzi Paz
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Abstract

Imposing extendibility on Kasner-Fronsdal black hole local isometric embedding is equivalent to removing conic singularities in Kruskal representation. Allowing for globally non-trivial (living in $M_{5}\times S_{1}$) embeddings, parameterized by $k$, extendibility can be achieved for apparently forbidden frequencies $ω_{1}(k)\leω(k)\le ω_{2}(k)$. The Hawking-Gibbons limit, say $\displaystyle{ω_{1,2}(0)= {1\over{4M}}}$ for Schwarzschild geometry, is respected. The corresponding Kruskal sheets are viewed as slices in some Kaluza-Klein background. Euclidean $k$ discreteness, dictated by imaginary time periodicity, is correlated with twistor flux quantization.

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BibTeXRIS

Aharon Davidson, Uzi Paz. 1996-01-16. Extensible Black Hole Embeddings for Apparently Forbidden Periodicities. https://doi.org/10.1023/a%3A1003793128801

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