The Wahlquist metric cannot describe an isolated rotating body

Michael Bradley, Gyula Fodor, Mattias Marklund, Zoltán Perjés

Research output: Article

32 Citations (Scopus)


It is proven that the Wahlquist perfect fluid spacetime cannot be smoothly joined to an exterior asymptotically flat vacuum region. The proof uses a power-series expansion in the angular velocity, to a precision of the second order. In this approximation, the Wahlquist metric is a special case of the rotating Whittaker spacetime. The exterior vacuum domain is treated in a like manner. We compute the conditions of matching at the possible boundary surface in both the interior and the vacuum domain. The conditions for matching the induced metrics and the extrinsic curvatures are mutually contradictory.

Original languageEnglish
Pages (from-to)351-359
Number of pages9
JournalClassical and Quantum Gravity
Issue number2
Publication statusPublished - jan. 21 2000


ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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