Naresh Dadhich and Z Ya Turakulov 2002 Class. Quantum Grav. 19 2765 doi:10.1088/0264-9381/19/11/301
Naresh Dadhich and Z Ya Turakulov1
Show affiliationsWe obtain the most general solution of the Einstein electro-vacuum equation for the stationary axially symmetric spacetime in which the Hamilton–Jacobi and Klein–Gordon equations are separable. The most remarkable feature of the solution is its invariance under the duality transformation involving mass and NUT parameter, and the radial and angle coordinates. It is the general solution for a rotating (gravitational dyon) particle which is endowed with both gravitoelectric and gravitomagnetic charges, and a duality transformation exists from one to the other. It also happens to be a transform of the Kerr–NUT solution. Like the Kerr family, it is also possible to make this solution radiating which asymptotically conforms to the Vaidya null radiation.
04.20.Cv Fundamental problems and general formalism
04.70.Bw Classical black holes
04.25.-g Approximation methods; equations of motion
04.20.Ex Initial value problem, existence and uniqueness of solutions
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries
Issue 11 (7 June 2002)
Received 25 October 2001, in final form 16 January 2002
Published 7 May 2002
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