Other
Scientific paper
Jul 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988gregr..20..647m&link_type=abstract
General Relativity and Gravitation, Volume 20, Issue 7, pp.647-657
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3
General Relativity:Kerr Metric
Scientific paper
One of the problems in dealing with double (and single) Kerr-Schild metrics is that there is a good deal of combined coordinate and tetrad freedom in writing any particular metric of this type in a standard form, and this freedom is not yet properly understood. This paper investigates part of this problem by examining the freedom in choosing the background flat metric for the standard form of a vacuum IDKS (integrable double Kerr-Schild) metric and by looking at the freedom in choosing the potentialH, which determines IDKS flat metrics in this standard form. Examples are given of different forms ofH which generate flat space. A slight generalization of the vacuum IDKS metric is also given in which thesurface equations andcurvature scalar are zero (i.e.,Φ 00=Φ 01=Φ 11=Λ=0 in Newman-Penrose language) but the othercentral equations and theresidual equations are nonzero.
Hickman Mark S.
Lun W. C. A.
McIntosh Colin B. G.
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