New approaches to the axisymmetric vacuum
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The relativistic field equations of the axistationary vacuum are derived in Ernst coordinates in full detail. The derivation of the Kerr metric is given from the field equations.
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- 1.The real and imaginary parts of the Ernst potential have been used by Hoenselaers for coordinatizing a Lorentzian 3-space. C. Hoenselaers: Prog. Theor. Phys. 60 (1978) 747Google Scholar
- 2.R. Geroch: J. Math. Phys. 12 (1971) 918Google Scholar
- 3.Z. Perjés: J. Math. Phys. 11 (1970) 3383Google Scholar
- 4.L.P. Eisenhart: Riemannian geometry. Princeton: Princeton University Press 1926Google Scholar
- 5.Z. Perjés: Astron. Nachr. 307 (1986) 321Google Scholar
- 6.Z. Perjés: Stationary vacuum space-times in Ernst coordinates, in Proceedings of the 4d Marcel Grossmann Meeting. R. Ruffini, (ed.) Amsterdam, New York: Elsevier 1986Google Scholar
- 7.Z. Perjés: Approaches to axisymmetry by man and machine, in Relativity today. Z. Perjés (ed.) Singapore: World Scientific, 1988Google Scholar
- 8.A. Hearn: Reduce user's manual. The Rand Co., Santa Monica, 1983Google Scholar
- 9.The class of fields for which the functions α and γ are analytic has been noted by D. Kramer. It can be shown that α,=2γ,1=0 alone suffice to characterize the Kerr metricGoogle Scholar
© Springer-Verlag 1988