Solution of five-dimensional general relativity without spatial symmetry

Details Solution of five-dimensional general relativity without spatial symmetry Solution of five-dimensional general relativity without spatial symmetry

Aug 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986gregr..18..861c&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 18, Aug. 1986, p. 861-877.

Physics

30

Einstein Equations, Field Theory (Physics), Magnetic Monopoles, Relativity, Spatial Distribution, Symmetry, Harmonic Functions, Potential Theory, Vacuum

Scientific paper

Conformastationary solutions of the five-dimensional vacuum Einstein equations, depending on one or two harmonic potentials, are constructed. The solutions depending on one potential fall in three distinct classes. Solutions of two of these classes may be combined to yield a class of solutions depending on two potentials, which correspond to the Israel-Wilson-Perjes solutions of the Einstein-Maxwell theory. The asymptotically flat solutions of this class describe systems of rotating electric or magnetic monopoles.

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