Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universes encircling 5-dimensional black holes   We clarify the status of two known solutions to the 5-dimensional vacuum
Einstein field equations derived by Liu, Mashhoon & Wesson (LMW) and Fukui,
Seahra & Wesson (FSW), respectively. Both 5-metrics explicitly embed
4-dimensional Friedman-Lemaitre-Robertson-Walker cosmologies with a wide range
of characteristics. We show that both metrics are also equivalent to
5-dimensional topological black hole (TBH) solutions, which is demonstrated by
finding explicit coordinate transformations from the TBH to LMW and FSW line
elements. We argue that the equivalence is a direct consequence of Birkhoff's
theorem generalized to 5 dimensions. Finally, for a special choice of
parameters we plot constant coordinate surfaces of the LMW patch in a
Penrose-Carter diagram. This shows that the LMW coordinates are regular across
the black and/or white hole horizons.

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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an