A Kerr-NUT metric
Using Galilean time and retarded distance as coordinates the usual Kerr metric is expressed in form similar to the Newman-Unti-Tamburino (NUT) metric. The combined Kerr-NUT metric is then investigated. In addition to the Kerr and NUT solutions of Einstein's equations, three other types of solutions are derived. These are (i) the radiating Kerr solution, (ii) the radiating NUT solution satisfyingRik=σξ i ξ k , ξ i ξ i = 0, and (iii) the associated Kerr solution satisfyingRik=0. Solution (i) is distinct from and simpler than the one reported earlier by two of us (P.C.V.; L.K.P) . Solutions (ii) and (iii) give line elements which have the axis of symmetry as a singular line.
KeywordsDifferential Geometry Line Element Singular Line Kerr Solution Retarded Distance
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