Extensible Black Hole Embeddings for Apparently Forbidden Periodicities

Details Extensible Black Hole Embeddings for Apparently Forbidden Periodicities Extensible Black Hole Embeddings for Apparently Forbidden Periodicities

1996-01-16

arxiv.org/abs/gr-qc/9601023v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, RevTex file, 1 postcript figure

Scientific paper

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 $\omega_{1}(k)\le\omega (k)\le \omega_{2}(k)$. The Hawking-Gibbons limit, say $\displaystyle{\omega_{1,2}(0)= {1\over{4M}}}$ 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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