Note on stationary-axisymmetric vacuum spacetimes with inside ellipsoidal symmetry

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Abstract

The author considers stationary-axisymmetric vacuum spacetimes possessing an additional 'inside' symmetry property; namely he assumes that the projected Riemannian 3-space induced by the stationary Killing field can be filled in with a one-parameter congruence of confocal ellipsoids. He presents a family of exact solutions of vacuum Einstein's equations possessing these symmetries, and it is shown that these spacetimes consist of a three-parameter family of solutions which coincide with the subfamily of the Kerr-NUT spacetimes with vanishing electric (and magnetic) charge. Hence, a simple geometrical characterization can be given for this subfamily of algebraically specialized Petrov type D solutions which resulted from the application of completely different spin coefficient techniques.

Original languageEnglish
Article number004
Pages (from-to)L93-L98
JournalClassical and Quantum Gravity
Volume9
Issue number8
DOIs
Publication statusPublished - Dec 1 1992

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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